Objective Test Applied Mechanics and Graphic Statics - Set 19 - ObjectiveBooks
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# Practice Test: Question Set - 19

1. Pick up the incorrect statement from the following. In a simple harmonic motion
(A) Velocity is maximum at its mean position
(B) Velocity is minimum at the end of the stroke
(C) Acceleration is minimum at the end of the stroke
(D) Acceleration is zero at the mean position

2. The motion of a particle is described by the relation x = t2- 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be
(A) Zero
(B) 30 m
(C) 50 m
(D) 60 m

3. Minimum potential energy of a system will be in the position of
(A) Stable equilibrium
(B) Unstable equilibrium
(C) Neutral equilibrium
(D) All of the above

4. The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane
(A) To be zero
(B) To be maximum
(C) To be minimum
(D) None of these

5. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is
(A) α = π/4 - β/2
(B) α = π/2 + β/2
(C) α = β/2 - π/2
(D) α = π/4 - β/2

6. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)
(A) 1/4
(B) 1/3
(C) 1/2
(D) 1/5

7. The units of inertia of mass are
(A) kg/m
(B) kg/m2
(C) m4
(D) kg-m2

8. ‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is
(A) μ
(B) 2μ
(C) 3μ
(D) ½μ

9. A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is
(A) 0.5 m
(B) 0.75 m
(C) 1.0 m
(D) 1.5 m

10. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on
(A) A point
(B) A straight line
(C) Two straight lines
(D) A triangle

11. Effect of a force on a body depends upon its
(A) Direction
(B) Magnitude
(C) Position
(D) All the above

12. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
(A) 64 J
(B) 400 J
(C) 464 J
(D) 89 J

13. A train weighing 196 tonnes experiences a frictional resistance of 511/22 per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is
(A) 5 √10 m/sec
(B) 10 √5 m/sec
(C) 5 √3 m/sec
(D) 3 √5 m/sec

14. The velocity of a moving body, is
(A) A vector quantity
(B) A scalar quantity
(C) A scalar as well as a vector quantity
(D) None of these

15. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by
(A) 1 : 2
(B) 1 : 1
(C) 2 : 1
(D) 3 : 1

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