Engineering Mechanics - Set 01 - ObjectiveBooks
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# Practice Test: Question Set - 01

1. A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is
(A) v
(B) 2v
(C) 4v
(D) 8v

2. The bellow figure shows the three coplanar forces PQ and R acting at a point O. If these forces are in equilibrium, then

(A) P/sin β = Q/sin α = R/sin ɣ
(B) P/sin α = Q/sin β = R/sin ɣ
(C) P/sin ɣ = Q/sin α = R/sin β
(D) P/sin α = Q/sin ɣ = R/sin β

3. The centre of percussion of the homogeneous rod of length ‘L’ suspended at the top will be
(A) L/2
(B) L/3
(C) 3L/4
(D) 2L/3

4. The angle of inclination of the plane at which the body begins to move down the plane, is called
(A) Angle of friction
(B) Angle of repose
(C) Angle of projection
(D) None of these

5. Pick up wrong statement about friction force for dry surfaces. Friction force is
(A) Proportional to normal load between the surfaces
(B) Dependent on the materials of contact surface
(C) Proportional to velocity of sliding
(D) Independent of the area of contact surfaces

6. The term 'Centroid' is
(A) The same as centre of gravity
(B) The point of suspension
(C) The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis
(D) None of the above

7. The C.G. of a plane lamina will not be at its geometrical centre in the case of a
(A) Right angled triangle
(B) Equilateral triangle
(C) Square
(D) Circle

8. If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be

(A) Same
(B) Half
(C) Double
(D) None of these

9. The moment of inertia of a thin rod of mass 'm' and length 'l', about an axis through its centre of gravity and perpendicular to its length is
(A) ml2/4
(B) ml2/ 6
(C) ml2/8
(D) ml2/12

10. Forces are called coplanar when all of them acting on body lie in
(A) One point
(B) One plane
(C) Different planes
(D) Perpendicular planes

11. A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of
(A) 1 m
(B) 2 m
(C) 3 m
(D) 4 m

12. A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is
(A) Reversible
(B) Non-reversible
(C) Ideal
(D) None of these

13. Centre of gravity of a solid cone lies on the axis at the height
(A) One fourth of the total height above base
(B) One third of the total height above base
(C) One-half of the total height above base
(D) Three eighth of the total height above the base

14. The periodic time (T) is given by (where, ω = Angular velocity of particle in rad/s.)
(A) ω/2π
(B) 2π/ω
(C) 2π × ω
(D) π/ω

15. The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by
(A) P + Q
(B) P - Q
(C) P / Q
(D) Q / P

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