# Practice Test: Question Set - 10

1. If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
(A) 57°
(B) 58°
(C) 59°
(D) 60°

2. If two forces are in equilibrium, then the forces must
(i) Be equal in magnitude
(ii) Be opposite in sense
(iii) Act along the same line
(A) (i) and (ii)
(B) (i) and (iii)
(C) Only (i)
(D) All (i), (ii) and (iii)

3. The unit of moments in M.K.S system, is
(A) kg.m
(B) kg/m2
(C) kg/sec2
(D) kg/sec

4. A projectile is thrown at an angle ‘Î±’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration
(A) At the start
(B) At the top of the trajectory
(C) As it strikes the ground
(D) Elsewhere

5. If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by
(A) T = g(M1 - M2)/(M1 + M2)
(B) T = g(M1 + M2)/(M1 × M2)
(C) T = g(M2 - M1)/(M1 + M2)
(D) T = g(M2 + M1)/(M2 - M1)

6. The angles between two forces to make their resultant a minimum and a maximum respectively are
(A) 0° and 90°
(B) 180° and 90°
(C) 90° and 180°
(D) 180° and 0°

7. The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
(A) 5.88 m/sec
(B) 8.88 m/sec
(C) 10.88 m/sec
(D) 12.88 m/sec

8. The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called
(A) Angle of repose
(B) Angle of friction
(C) Angle of inclination
(D) None of these

9. Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is
(A) 350 m
(B) 375 m
(C) 400 m
(D) 425 m

10. The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is

11. A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
(A) 16 m/sec
(B) 18 m/sec
(C) 20 m/sec
(D) 22 m/sec

12. Maximum efficiency of a screw jack for the angle of friction Î¸, is
(A) sin Î¸/(1 + sin Î¸)
(B) (1 - sin Î¸)/sin Î¸
(C) (1 + sin Î¸)/(1 - sin Î¸)
(D) (1 - sin Î¸)/(1 + sin Î¸)

13. The member which does not carry zero force in the structure shown in below figure, is

(A) ED
(B) DC
(C) BC
(D) BD

14. At the instantaneous center, the velocity of the moving lamina at any instant is
(A) Zero
(B) Maximum
(C) Minimum
(D) Varying

15. If two equal forces of magnitude ‘P’ act at an angle ‘Î¸’, their resultant, will be
(A) P cos Î¸/2
(B) 2P sin Î¸/2
(C) P tan Î¸/2
(D) 2P cos Î¸/2

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