02 Vectors and EquilibriumBy Bomvirtual.com / June 11, 2025 0 votes, 0 avg 275 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566 Created by Bomvirtual.com 02 Vectors and Equilibrium 1 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 1) Which pair includes a scalar quantity and a vector quantity? FMDC 2012 A) Potential energy and work B) Kinetic energy and momentum C) Weight and force D) Velocity and acceleration Kinetic energy: scalar, Momentum: vector , Potential energy: scalar, Work : vector , Velocity : vector, Acceleration: vector, Weight and force: vectors 2 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 2) Which one of the following is scalar quantity? ETEA 2012 A) Momentum B) Acceleration C) E. Intensity D) Mass Mass has no direction 3 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 3) A body in equilibrium must not have ETEA 2018 A) velocity B) kinetic energy C) acceleration D) momentum A body in equilibrium must not have acceleration (translational or rotational), but it may have: Constant velocity, Kinetic energy, Momentum 4 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 4) If A⃗ = 2î + ĵ + 2k̂ then its magnitude is ETEA 2010 A) 9 B) 1 C) 5 D) 3 2,1,2 are the numbers with x,y and z s= √((2)^2+(1)^2+(2)^2 )=√(4+1+4)= √9=√((3)^2 )=3 5 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 5) The vector which only specifies the direction of a given vector is called: FMDC 2013 A) Unit vector B) Position vector C) Free vector D) Null vector The vector which only specifies the direction of a given vector is called Unit vector 6 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 6) Which pair contain one vector and one scalar quantity; ETEA 2017 A) momentum and velocity B) displacement and acceleration C) power and speed D) force and kinetic energy Force is scalar and kinetic energy is vector because force have proper direction while kinetic energy have not 7 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 7) If “x” component of a vector is 3N & Y component is 3N, than angle made by the resultant with x-axis is; ETEA 2012 A) 135° B) 315° C) 225° D) 45° Tan =Fy⁄Fx= = Tan-1Fy⁄Fx → = Tan-1 3⁄3 = Tan-1 1 = 450, 8 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 8) The direction of torque can be found by A) Fleming rule B) Left hand rule C) Right hand rule D) Head to tail rule The direction of torque can be found can be found by Right hand rule 9 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 9) Which one of the following is scalar quantity? A) Momentum B) Acceleration C) Mass D) E. Intensity Mass has no direction. Others (acceleration, momentum, E. Intensity) are vectors. 10 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 10) Two forces of magnitude 20N & 10N act at a point that which one of the following cannot be their possible sum. ETEA 2012 A) 15N B) 10N C) 30N D) 35N The resultant of two vectors is in between of their sum and subtraction.the possible resultants are 20+10→20-10 = 30→10 so 35 is not possible 11 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 11) The rectangular components of force 5 Newton are: A) 2.5 and 25 Newton B) 2 and 3 Newton C) 3 and 4 Newton D) 1 and 2 Newton R = √(√(3^2+4^2 )) = 5 12 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 12) In three-dimensional space, two vectors are said to be collinear if they lie; ETEA 2015 A) along the same line B) Below the line C) along the different lines D) Above the line Lie along the same line (can be same or opposite direction) 13 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 13) The resultant force of 5 N and 10 N cannot be A) 5 N B) 12 N C) 8 N D) 4 N and 14 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 14) Three vectors of equal magnitude are acting on the three sides of an equilateral triangle. The magnitude of their resultant is. ETEA 2011 A) 3 B) √3 C) Zero D) 1.73 Vectors form closed triangle → resultant = 0 15 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 15) Which of the following groups of forces could be in equilibrium? A) 3 N, 4 N, 5 N B) 4 N, 5 N, 10 N C) 30 N, 40 N, 80 N D) 1 N, 3 N, 5 N For equilibrium of force, the resultant of two (smaller) force should be equal and opposite to third one. 16 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 16) When two vectors are anti-parallel, the angle between them is: A) Zero B) 180° C) 270° D) 90° When two vectors are anti-parallel, the angle between them is 180° 17 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 17) Torque is defined as A) cross product of position vector and force B) turning effect of force C) all a, b and c are correct D) product of force and moment arm Torque is defined as A) turning effect of force B) cross product of position vector and force C) product of force and moment arm 18 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 18) Torque acting on a body determines A) linear acceleration B) angular acceleration C) acceleration D) direction of motion of the body Torque acting on a body determines angular acceleration 19 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 19) If both components of a vector are negative, then resultant lies in: A) 1st quadrant B) 3rd quadrant C) 2nd quadrant D) 4th quadrant vector have same sign A) 1st → both positive B) 3rd quadrant → both negative 20 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 20) The direction of vector product is given by A) head to tail rule B) right hand rule C) left hand rule D) triangular rule The direction of vector product is given by right hand rule 21 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 21) The magnitude of two forces each of them is 10N are added together such that the magnitude of their resultants is also 10N. then the angle between the forces is; ETEA-2019 A) 90° B) 60° C) 120° D) 30° If the resultant of two equal forces is also equal in magnitude to each of the individual forces, this implies that the angle between the two forces is 120°. This can be derived from the law of cosines or by considering the equilateral triangle formed by the vectors in the case of the forces being equal in magnitude. So, the answer is: 120° 22 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 22) The object at equilibrium may have any: A) Velocity B) Torque acting upon it C) Acceleration D) Force acting upon it The object at equilibrium may have any Velocity 23 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 23) Two equal, anti-parallel and non-concurrent forces that produce only angular acceleration are: ETEA 2012 A) Collinear forces B) Couple C) Torque D) Couple arm Two equal, anti parallel and non concurrent forces that produce only angular acceleration are Couple 24 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 24) The sum of two forces acting at a point is 16N. If the resultant is 8N and its direction is perpendicular to minimum force, then force is ETEA 2017 A) 4N and 12N B) 6N and 10N C) 5N and 11N D) 8N and 8N 25 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 25) A person walks 10 km north, 20 km east and 10 km south, then the resultant displacement is: ETEA 2016 A) 10 km north-east B) 20 km north-east C) 20 km east D) 20 km west 26 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 26) A body will be in translational equilibrium if the vector sum of all the forces acting on it is: FMDC 2015 A) Min. B) Equal C) Max. A body will be in translational equilibrium if the vector sum of all the forces acting on it is 0 27 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 27) If A⃗=2î+ĵ+2k̂ then its magnitude is; A) 5 B) 9 C) 3 D) 1 2,1,2 are the numbers with x,y and z so = √((2)^2+(1)^2+(2)^2 )=√(4+1+4)= √9=√((3)^2 )=3 28 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 28) Rectangular coordinate system is also called A) Cartesian coordinate system B) polar coordinate system C) cylindrical coordinate system D) spherical coordinate system Rectangular coordinate system is also called Cartesian coordinate system 29 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 29) A body will be in complete equilibrium when it is satisfying A) 2nd condition of equilibrium B) 1st condition of equilibrium C) impossible D) both 1st and 2nd condition of equilibrium A body will be in complete equilibrium when it is satisfying both 1st and 2nd condition of equilibrium 30 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 30) A body in equilibrium A) may be at rest or in motion B) always at rest C) always in uniform motion D) may be at rest or in uniform motion A body in equilibrium may be at rest or in uniform motion 31 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 31) The dimension of torque is A) [ML⁻²T⁻²] B) [ML²T⁻²] C) [MLT⁻²] D) [ML²T] Torque = rF = rma 32 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 32) Newton’s first law of motion provides: ETEA 2011 A) 2nd condition of equilibrium B) Complete equilibrium C) 1st condition of equilibrium D) Rotational equilibrium Newton’s first law of motion provides 1st condition of equilibrium 33 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 33) The horizontal & vertical component of forces are 10N each. The direction of the resultant force with x-axis. ETEA 2011 A) 45° B) 60° C) 75° D) 30° TanӨ =Fy/Fx→ θ=Tan^(-1) Fy/Fx=Tan^(-1) 10/10=Tan^(-1) 1= 45^0 34 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 34) Two forces having magnitude 3.5 N and 5.5 N are acting on a body. Which one of the following cannot be resultant measurement ETEA 2018 A) 6.5N B) 4.5N C) 1.5N D) 2.5N The resultant of two vectors is in between of their sum and subtraction.the possible resultants are 5.5+3.5 →5.5-3.5 =9 to 2 so 1.5 is not possible. 35 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 35) Torque has zero value, if the angle between radius and force is A) 280° B) 0° C) 90° D) 270° Torque = rF sinθ, Sin 90 = 1, Sin 0 = 0 36 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 36) Which of the following sets of concurrent forces may be in equilibrium? A) F₁=3 N, F₂=5 N, F₃=1 N B) F₁=3 N, F₂=5 N, F₃=9 N C) F₁=3 N, F₂=5 N, F₃=6 N D) F₁=3 N, F₂=5 N, F₃=15 N Range of resultant of 37 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 37) A body will be in rotational equilibrium if, A) ∑F = 0 B) ∑P̅ = 0 C) ∑L̅ = 0 D) ∑τ = 0 A body will be in rotational Momentum. If,. ∑τ = 0 38 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 38) In which quadrant the two rectangular components of a vector have same sign? A) 1st and 3rd B) 4th C) 2nd D) 1st vector have same sign A) 1st → both positive, B) 3rd quadrant → both negative 39 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 39) If three coplanar forces acting on a body keep it in equilibrium, then these forces pass are; ETEA 2007 A) Concurrent B) Non concurrent C) Parallel D) Antiparallel When two or more forces act upon a body and the lines of action of these forces pass through a common point, the forces are said to be concurrent. 40 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 40) The magnitude of the resultant of two forces is 2F. If the magnitude of each force is F, than the angle between these forces is: ETEA 2011 A) 90° B) 0° C) 120° D) 180° When = 00 than R is maximum or forces are added of thery are in same direction and have zero ange, R ⃗→F ⃗+F ⃗= 2F 41 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 41) When a body is stationary A) There is no force acting on it B) The force acting on it is not in contact with it C) The body is in vacuum D) The combination of forces acting on it balances each other A stationary body is in equilibrium, meaning Forces balance each other (∑F = 0, ∑τ = 0) 42 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 42) If  is unit vector in the direction of vector A⃗ then ETEA 2009-2015 A) A⃗/ B) A⃗ C) A A ⃗= |A| A ̂=>A ̂=A ⃗/(|A|) 43 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 43) Two concurrent forces have a maximum resultant of 45N and minimum resultant of 5N. What is the magnitude of each of these? ETEA 2009 A) 5N, 9N B) 0N, 45N C) 20N, 25N D) 0, 45N For maximum their sum is 45 and for minimum their difference is 5 so option c right because its sum is 45 and difference is 5. 44 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 44) A vector in space has dimension: FMDC 2015 A) 3 B) 1 C) 2 Vectors in 3D space have 3 components (x,y,z) 45 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 45) Two vectors A⃗ and B⃗ are such that A⃗ + B⃗ = A⃗ – B⃗ then select the correct statement: ETEA 2015 A) B⃗ = 0 B) None C) A⃗ = 0 D) neither A⃗ nor B⃗ is zero 46 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 46) Which pair contain one vector and one scalar quantity; A) power and speed B) displacement and acceleration C) force and kinetic energy D) Momentum and velocity Force is scalar and kinetic energy is vector because force have proper direction while kinetic energy have not 47 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 47) Which one is a vector: A) Volume B) Work C) Length D) Velocity Velocity has both magnitude and direction. Others (length, volume, work) are scalars. 48 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 48) Which one of the following is not a vector quantity? ETEA 2012 A) G.F Intensity B) Emf C) Magnetic Induction D) E.F. Intensity EMF is a scalar (others are vectors) 49 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 49) Two forces having magnitudes 3.5N and 5.5N are acting on a body. Which one of the following cannot be the resultant of their possible sum? ETEA 2014 A) 6.5N B) 4.5N C) 1.5N D) 2.5N The resultant of two vectors is in between of their sum and subtraction.the possible resultants are 5.5+3.5 →5.5-3.5 =9 to 2 so 1.5 is not possible. 50 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 50) The resultant of a 6N force & 8N force acting at right angle to each other is of magnitude. ETEA 2010 A) 10N B) 14N C) 2N D) 48N = 900, → cos 90 = 0 then R ⃗ = √((F_1 )^2+ F_2^2+2f1f2 cosθ) = √(6^2+8^2 )= √(36+64) = √100 = 10N 51 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 51) A uniform horizontal footbridge is 12 m long and weighs 4000 N. It rests on two supports X and Y as shown. ETEA 2018 A man of weight 600 N is at a distance of 4 m from support x. What is the upward force on the footbridge from support X? A) 2600 N B) 2300 N C) 2400 N D) 2200 N · Clockwise moments: Man (600 N × 8 m) + Bridge (4000 N × 6 m)Anticlockwise moment: Rₓ × 12 m, ΣM = 0 ⇒ Rₓ × 12 = (600 × 8) + (4000 × 6) , • Rₓ = (4800 + 24000)/12 = 28800/12 = 2400 N 52 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 52) An example of scalar quantity is A) Velocity B) Speed C) Torque D) Displacement scalar ; Speed 53 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 53) Two forces of 12N and 6N applied simultaneously to a body. The maximum magnitude of their resultant is ETEA 2009 A) 18N B) 30N C) 24N D) 36N R ⃗ is maximum, when = = 00 ,→ R ⃗=A ⃗+ B ⃗ = 12 + 6 = 18N 54 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 54) If A) = B) , for two non-zero vectors a⃗ and b⃗, then it holds that ETEA 2017 C) a⃗ – b⃗ D) a⃗ + b⃗ 55 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 55) The magnitude of the resultant two forces is F. The magnitude of each force is F. The angle between the forces must be: ETEA 2009+2013 A) 120° B) 45° C) 60° D) 30° The angle is 120, just remember the answer in this case, this is example in the book, you can see solution in book, just try example and remember answer. 56 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 56) A central force is that which: A) sometime can produce torque sometime cannot B) can produce torque C) has no relation with torque D) cannot produce torque A central force always points toward/away from a fixed center (radial direction), making τ = r × F = 0 (since r and F are parallel). Thus, it cannot produce torque. 57 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 57) The physical quantity which produces angular acceleration in body. ETEA 2010+2011 A) Torque B) Impulse C) Force D) Centripetal force Torque (τ = Iα) is the rotational analog of force that causes angular acceleration 58 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 58) The moment arm of force of 0.6N to produce maximum torque of 0.48 N.m is ETEA 2011 A) 2.88m B) 0.288m C) 0.8m D) 8m T = r×f, r = T/F = 0.48/0.6= 0.8m 59 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 59) The torque is also called as, A) moment of force B) moment arm C) moment of inertia D) angular velocity The torque is also called as moment of force 60 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 60) At what angle two forces 2F and √2F must act so that their resultant is F√10 ; ETEA-2019 A) 2π B) none C) π/4 D) π/2 Using the resultant formula: R² = A² + B² + 2ABcosθ → (√10F)² = (2F)² + (√2F)² + 2(2F)(√2F)cosθ →10F² = 4F² + 2F² + 4√2F²cosθ →4F² = 4√2F²cosθ ⇒ cosθ = 1/√2 ⇒ θ = 45° = π/4 → 45degree = π/4 61 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 61) What is not true of two forces that give rise to a couple? A) They both have the same magnitude. B) They both act at the same point. C) They act in opposite directions. D) They both act on the same body Magnitude of couple = force x distance between them for 2 forces acting on the same point, there is zero distance between them. 62 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 62) Addition of vector obeys A) commutative law B) all given laws in a, b and c C) distributive law D) associative law Addition of vector obeys A) commutative law B) distributive law C) associative law 63 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 63) An object is subjected to a force in the north-east direction. To balance this force, a second force should be applied in the direction A) South B) West C) South-west D) North-east Direction of second force should be at 180° 64 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 64) The equal and opposite forces acting on a body form a, A) couple B) linear Momentum C) moment D) torque When two equal and opposite forces act along different lines, they form a couple, which produces pure rotation without translation. 65 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 65) Maximum number of rectangular components are A) three B) infinite C) one D) two Maximum number of rectangular components are three in case of space and two in case of plane. 66 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 66) The magnitude of a vector A⃗=Axî-Ayĵ A) √(Ax²+Ay²) B) Ax² + Ay² C) √(Ax²-y²) D) Ax² – Ay² The magnitude of a vector A ⃗=Axi ̂ –Ayj ̂√(〖A_x〗^2+〖Ay〗^2 ) Your score is 0% Restart quiz
