Applied Mechanics Objective Test – Set 02

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Q1. A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if

(A) Floor is smooth and wall is rough
(B) Floor is rough and wall is smooth
(C) Both floor and wall are rough
(D) Both floor and wall are smooth

Answer: (D) Both floor and wall are smooth

(A) W sec θ
(B) W cos θ
(C) W sin θ
(D) W cosec θ

Q3. Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

(A) Disc with larger density
(B) Disc with smaller density
(C) Both discs will have same rotational inertia
(D) None of the above

Answer: (B) Disc with smaller density

Q4. The maximum displacement of a particle executing S.H.M. corresponds to

(A) Zero potential energy and maximum kinetic energy
(B) Zero kinetic energy and maximum potential energy
(C) Maximum kinetic energy and maximum potential energy
(D) Minimum kinetic energy and minimum potential energy

Answer: (B) Zero kinetic energy and maximum potential energy

(A) 10.8 t
(B) 10.6 t
(C) 10.4 t
(D) 10.2 t

(A) b3/4
(B) b4/12
(C) b4/3
(D) b4/8

Q7. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

(A) Sphere with greater rotational energy at bottom than cylinder
(B) Sphere with lesser rotational energy at bottom than cylinder
(C) Cylinder with greater rotational energy at bottom than sphere
(D) Both reach the bottom simultaneously with equal rotational energy at bottom

Answer: (B) Sphere with lesser rotational energy at bottom than cylinder

(A) 9.3 m/sec
(B) 8.3 m/sec
(C) 7.3 m/sec
(D) 6.3 m/sec

Q9. The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

(A) Original velocity in the same direction
(B) Half the original velocity in the same direction
(C) Half the original velocity in the opposite direction
(D) Original velocity in the opposite direction

Answer: (D) Original velocity in the opposite direction

Q10. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are

(A) Straight line and parabola
(B) Straight line and circle
(C) Circle and straight line
(D) Circle and parabola

Answer: (C) Circle and straight line

Q11. The force polygon representing a set of forces in equilibrium is a

(A) Triangle
(B) Open polygon
(C) Closed polygon
(D) Parallelogram

(A) 0.50
(B) 0.40
(C) 0.67
(D) 1.00

Q13. The time period of a simple pendulum depends on(i) Mass of suspended particle(ii) Length of the pendulum(iii) Acceleration due to gravityThe correct answer is

(A) Only (i)
(B) Both (ii) and (iii)
(C) Both (i) and (iii)
(D) All are correct

Answer: (B) Both (ii) and (iii)

Q14. The centre of gravity of a homogeneous body is the point at which the whole

(A) Volume of the body is assumed to be concentrated
(B) Area of the surface of the body is assumed to be concentrated
(C) Weight of the body is assumed to be concentrated
(D) All the above

Answer: (C) Weight of the body is assumed to be concentrated

(A) 50 J
(B) 150 J
(C) 200 J
(D) 400 J