02 Vectors and EquilibriumBy Bomvirtual.com / June 11, 2025 0 votes, 0 avg 274 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566 Created by Bomvirtual.com 02 Vectors and Equilibrium 1 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 1) A body will be in complete equilibrium when it is satisfying A) impossible B) both 1st and 2nd condition of equilibrium C) 1st condition of equilibrium D) 2nd condition of equilibrium A body will be in complete equilibrium when it is satisfying both 1st and 2nd condition of equilibrium 2 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 2) The dimension of torque is A) [ML⁻²T⁻²] B) [MLT⁻²] C) [ML²T] D) [ML²T⁻²] Torque = rF = rma 3 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 3) Which pair contain one vector and one scalar quantity; ETEA 2017 A) power and speed B) displacement and acceleration C) momentum and velocity D) force and kinetic energy Force is scalar and kinetic energy is vector because force have proper direction while kinetic energy have not 4 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 4) Which pair includes a scalar quantity and a vector quantity? FMDC 2012 A) Velocity and acceleration B) Potential energy and work C) Kinetic energy and momentum D) Weight and force Kinetic energy: scalar, Momentum: vector , Potential energy: scalar, Work : vector , Velocity : vector, Acceleration: vector, Weight and force: vectors 5 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 5) If A⃗ = 2î + ĵ + 2k̂ then its magnitude is ETEA 2010 A) 5 B) 3 C) 9 D) 1 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 6 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 6) 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) 30° B) 90° C) 60° D) 120° 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° 7 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 7) A body will be in translational equilibrium if the vector sum of all the forces acting on it is: FMDC 2015 A) Min. B) Max. C) Equal A body will be in translational equilibrium if the vector sum of all the forces acting on it is 0 8 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 8) 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° 9 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 9) 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. 10 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 10) Two forces of 12N and 6N applied simultaneously to a body. The maximum magnitude of their resultant is ETEA 2009 A) 24N B) 30N C) 36N D) 18N R ⃗ is maximum, when = = 00 ,→ R ⃗=A ⃗+ B ⃗ = 12 + 6 = 18N 11 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 11) Newton’s first law of motion provides: ETEA 2011 A) Complete equilibrium B) Rotational equilibrium C) 2nd condition of equilibrium D) 1st condition of equilibrium Newton’s first law of motion provides 1st condition of equilibrium 12 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 12) 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) 0, 45N B) 20N, 25N C) 0N, 45N D) 5N, 9N 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. 13 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 13) An example of scalar quantity is A) Torque B) Velocity C) Displacement D) Speed scalar ; Speed 14 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 14) The rectangular components of force 5 Newton are: A) 1 and 2 Newton B) 2.5 and 25 Newton C) 2 and 3 Newton D) 3 and 4 Newton R = √(√(3^2+4^2 )) = 5 15 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 15) The resultant force of 5 N and 10 N cannot be A) 8 N B) 5 N C) 12 N D) 4 N and 16 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 16) The direction of torque can be found by A) Right hand rule B) Head to tail rule C) Left hand rule D) Fleming rule The direction of torque can be found can be found by Right hand rule 17 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 17) Which of the following groups of forces could be in equilibrium? A) 1 N, 3 N, 5 N B) 3 N, 4 N, 5 N C) 30 N, 40 N, 80 N D) 4 N, 5 N, 10 N For equilibrium of force, the resultant of two (smaller) force should be equal and opposite to third one. 18 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 18) Torque acting on a body determines A) angular acceleration B) direction of motion of the body C) acceleration D) linear acceleration Torque acting on a body determines angular acceleration 19 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 19) Torque is defined as A) turning effect of force B) all a, b and c are correct C) product of force and moment arm D) cross product of position vector and force Torque is defined as A) turning effect of force B) cross product of position vector and force C) product of force and moment arm 20 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 20) If both components of a vector are negative, then resultant lies in: A) 3rd quadrant B) 1st quadrant C) 4th quadrant D) 2nd quadrant vector have same sign A) 1st → both positive B) 3rd quadrant → both negative 21 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 21) A person walks 10 km north, 20 km east and 10 km south, then the resultant displacement is: ETEA 2016 A) 20 km north-east B) 10 km north-east C) 20 km east D) 20 km west 22 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 22) Which one is a vector: A) Volume B) Velocity C) Work D) Length Velocity has both magnitude and direction. Others (length, volume, work) are scalars. 23 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 23) 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) 120° B) 90° C) 0° 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 24 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 24) Which one of the following is not a vector quantity? ETEA 2012 A) G.F Intensity B) Magnetic Induction C) E.F. Intensity D) Emf EMF is a scalar (others are vectors) 25 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 25) Two forces of magnitude 20N & 10N act at a point that which one of the following cannot be their possible sum. ETEA 2012 A) 10N B) 30N C) 35N D) 15N 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 26 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 26) The horizontal & vertical component of forces are 10N each. The direction of the resultant force with x-axis. ETEA 2011 A) 30° B) 60° C) 45° D) 75° TanӨ =Fy/Fx→ θ=Tan^(-1) Fy/Fx=Tan^(-1) 10/10=Tan^(-1) 1= 45^0 27 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 27) Which of the following sets of concurrent forces may be in equilibrium? A) F₁=3 N, F₂=5 N, F₃=15 N B) F₁=3 N, F₂=5 N, F₃=1 N C) F₁=3 N, F₂=5 N, F₃=6 N D) F₁=3 N, F₂=5 N, F₃=9 N Range of resultant of 28 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 28) What is not true of two forces that give rise to a couple? A) They act in opposite directions. B) They both act on the same body C) They both have the same magnitude. D) They both act at the same point. Magnitude of couple = force x distance between them for 2 forces acting on the same point, there is zero distance between them. 29 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 29) If A) a⃗ + b⃗ B) , for two non-zero vectors a⃗ and b⃗, then it holds that ETEA 2017 C) = D) a⃗ – b⃗ 30 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 30) If three coplanar forces acting on a body keep it in equilibrium, then these forces pass are; ETEA 2007 A) Concurrent B) Parallel C) Non concurrent 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. 31 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 31) Three vectors of equal magnitude are acting on the three sides of an equilateral triangle. The magnitude of their resultant is. ETEA 2011 A) 1.73 B) Zero C) √3 D) 3 Vectors form closed triangle → resultant = 0 32 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 32) 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|) 33 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 33) When a body is stationary A) The combination of forces acting on it balances each other B) The body is in vacuum C) There is no force acting on it D) The force acting on it is not in contact with it A stationary body is in equilibrium, meaning Forces balance each other (∑F = 0, ∑τ = 0) 34 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 34) The magnitude of a vector A⃗=Axî-Ayĵ A) √(Ax²+Ay²) B) √(Ax²-y²) C) Ax² – Ay² D) Ax² + Ay² The magnitude of a vector A ⃗=Axi ̂ –Ayj ̂√(〖A_x〗^2+〖Ay〗^2 ) 35 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 35) 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) 60° B) 45° C) 30° D) 120° 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. 36 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 36) 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) 8N and 8N B) 4N and 12N C) 5N and 11N D) 6N and 10N 37 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 37) Which pair contain one vector and one scalar quantity; A) Momentum and velocity B) power and speed C) displacement and acceleration D) force and kinetic energy Force is scalar and kinetic energy is vector because force have proper direction while kinetic energy have not 38 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 38) The vector which only specifies the direction of a given vector is called: FMDC 2013 A) Null vector B) Unit vector C) Free vector D) Position vector The vector which only specifies the direction of a given vector is called Unit vector 39 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 39) Maximum number of rectangular components are A) three B) two C) one D) infinite Maximum number of rectangular components are three in case of space and two in case of plane. 40 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 40) Rectangular coordinate system is also called A) polar coordinate system B) spherical coordinate system C) cylindrical coordinate system D) Cartesian coordinate system Rectangular coordinate system is also called Cartesian coordinate system 41 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 41) Addition of vector obeys A) associative law B) all given laws in a, b and c C) distributive law D) commutative law Addition of vector obeys A) commutative law B) distributive law C) associative law 42 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 42) The torque is also called as, A) moment of inertia B) moment of force C) moment arm D) angular velocity The torque is also called as moment of force 43 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 43) The object at equilibrium may have any: A) Acceleration B) Force acting upon it C) Torque acting upon it D) Velocity The object at equilibrium may have any Velocity 44 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 44) The resultant of a 6N force & 8N force acting at right angle to each other is of magnitude. ETEA 2010 A) 14N B) 10N C) 48N D) 2N = 900, → cos 90 = 0 then R ⃗ = √((F_1 )^2+ F_2^2+2f1f2 cosθ) = √(6^2+8^2 )= √(36+64) = √100 = 10N 45 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 45) A body will be in rotational equilibrium if, A) ∑F = 0 B) ∑L̅ = 0 C) ∑τ = 0 D) ∑P̅ = 0 A body will be in rotational Momentum. If,. ∑τ = 0 46 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 46) At what angle two forces 2F and √2F must act so that their resultant is F√10 ; ETEA-2019 A) π/4 B) 2π C) none 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 47 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 47) The direction of vector product is given by A) triangular rule B) right hand rule C) left hand rule D) head to tail rule The direction of vector product is given by right hand rule 48 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 48) 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) 2200 N C) 2300 N D) 2400 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 49 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 49) Torque has zero value, if the angle between radius and force is A) 90° B) 280° C) 270° D) 0° Torque = rF sinθ, Sin 90 = 1, Sin 0 = 0 50 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 50) A body in equilibrium A) may be at rest or in uniform motion B) may be at rest or in motion C) always at rest D) always in uniform motion A body in equilibrium may be at rest or in uniform motion 51 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 51) Which one of the following is scalar quantity? ETEA 2012 A) Acceleration B) E. Intensity C) Mass D) Momentum Mass has no direction 52 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 52) 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) 4.5N B) 2.5N C) 1.5N D) 6.5N 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. 53 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 53) A vector in space has dimension: FMDC 2015 A) 2 B) 1 C) 3 Vectors in 3D space have 3 components (x,y,z) 54 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 54) 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) 2.5N B) 6.5N C) 4.5N D) 1.5N 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. 55 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 55) If A⃗=2î+ĵ+2k̂ then its magnitude is; A) 1 B) 9 C) 3 D) 5 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 56 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 56) 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 57 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 57) The equal and opposite forces acting on a body form a, A) linear Momentum B) couple C) torque D) moment When two equal and opposite forces act along different lines, they form a couple, which produces pure rotation without translation. 58 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 58) Two equal, anti-parallel and non-concurrent forces that produce only angular acceleration are: ETEA 2012 A) Torque B) Collinear forces C) Couple D) Couple arm Two equal, anti parallel and non concurrent forces that produce only angular acceleration are Couple 59 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 59) When two vectors are anti-parallel, the angle between them is: A) 270° B) 180° C) 90° D) Zero When two vectors are anti-parallel, the angle between them is 180° 60 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Equilibrium 60) A body in equilibrium must not have ETEA 2018 A) kinetic energy B) acceleration C) velocity D) momentum A body in equilibrium must not have acceleration (translational or rotational), but it may have: Constant velocity, Kinetic energy, Momentum 61 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 61) Which one of the following is scalar quantity? A) Mass B) E. Intensity C) Acceleration D) Momentum Mass has no direction. Others (acceleration, momentum, E. Intensity) are vectors. 62 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Torque and moment of force 62) The moment arm of force of 0.6N to produce maximum torque of 0.48 N.m is ETEA 2011 A) 8m B) 0.8m C) 2.88m D) 0.288m T = r×f, r = T/F = 0.48/0.6= 0.8m 63 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 63) In three-dimensional space, two vectors are said to be collinear if they lie; ETEA 2015 A) along the same line B) Above the line C) along the different lines D) Below the line Lie along the same line (can be same or opposite direction) 64 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 64) 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) 315° B) 225° C) 45° D) 135° Tan =Fy⁄Fx= = Tan-1Fy⁄Fx → = Tan-1 3⁄3 = Tan-1 1 = 450, 65 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors 65) In which quadrant the two rectangular components of a vector have same sign? A) 1st B) 4th C) 2nd D) 1st and 3rd vector have same sign A) 1st → both positive, B) 3rd quadrant → both negative 66 / 66 Category: BOMVirtual.com >> Physics >> 02 Vectors >> Vectors and properties 66) Two vectors A⃗ and B⃗ are such that A⃗ + B⃗ = A⃗ – B⃗ then select the correct statement: ETEA 2015 A) neither A⃗ nor B⃗ is zero B) B⃗ = 0 C) A⃗ = 0 D) None Your score is 0% Restart quiz
