Theory test practice Engineering Mechanics - Set 10 - ObjectiveBooks

# Practice Test: Question Set - 10

1. If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is _________ the momentum of body having mass m2.
(A) Equal to
(B) Less than
(C) Greater than
(D) None of these

2. Two coplanar couples having equal and opposite moments
(A) Balance each other
(B) Produce a couple and an unbalanced force
(C) Are equivalent
(D) Cannot balance each other

3. The center of gravity of a trapezium with parallel sides 'a' and 'b' lies at a distance of 'y' from the base 'b', as shown in the below figure. The value of 'y' is

(A) h [(2a + b)/(a + b)]
(B) (h/2) [(2a + b)/(a + b)]
(C) (h/3) [(2a + b)/(a + b)]
(D) (h/3) [(a + b)/(2a + b)]

4. Non-coplanar concurrent forces are those forces which
(A) Meet at one point, but their lines of action do not lie on the same plane
(B) Do not meet at one point and their lines of action do not lie on the same plane
(C) Meet at one point and their lines of action also lie on the same plane
(D) Do not meet at one point, but their lines of action lie on the same plane

5. In the equation of virtual work, following force is neglected
(A) Reaction of any smooth surface with which the body is in contact
(B) Reaction of a rough surface of a body which rolls on it without slipping
(C) Reaction at a point or an axis, fixed in space, around which a body is constrained to turn
(D) All of the above

6. The velocity of a particle moving with simple harmonic motion is _________ at the mean position.
(A) Zero
(B) Minimum
(C) Maximum
(D) None of these

7. If rain is falling in the opposite direction of the movement of a pedestrian, he has to hold his umbrella
(A) More inclined when moving
(B) Less inclined when moving
(C) More inclined when standing
(D) Less inclined when standing

8. The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by
(A) ω/r
(B) ω.r
(C) ω2/r
(D) ω2.r

9. The C.G. of a solid hemisphere lies on the central radius 3r
(A) At distance — from the plane base 3r
(B) At distance — from the plane base 3r
(C) At distance — from the plane base 3r
(D) At distance — from the plane base

10. The velocity ratio of a simple wheel and axle with D and d as the diameters of effort wheel and load axle, is
(A) D + d
(B) D - d
(C) D × d
(D) D / d

11. According to law of triangle of forces
(A) Three forces acting at a point will be in equilibrium
(B) Three forces acting at a point can be represented by a triangle, each side being proportional to force
(C) If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium
(D) If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

12. The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body,m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)
(A) [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²
(B) [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²
(C) [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)
(D) [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

13. If a suspended body is struck at the center of percussion, then the pressure on die axis passing through the point of suspension will be
(A) Maximum
(B) Minimum
(C) Zero
(D) Infinity

14. A couple produces
(A) Translatory motion
(B) Rotational motion
(C) Combined translatory and rotational motion
(D) None of the above

15. The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to
(A) The algebraic sum of the resolved parts of the forces in the given direction
(B) The sum of the resolved parts of the forces in the given direction
(C) The difference of the forces multiplied by the cosine of θ
(D) The sum of the forces multiplied by the sine of θ

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