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
The correct answer is
- (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 ‘α’ 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
- (A) 0.1 radian/sec
- (B) 1 radian/sec
- (C) 100 radian/sec
- (D) 1000 radian/sec
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 θ, is
- (A) sin θ/(1 +
sin θ)
- (B) (1 - sin
θ)/sin θ
- (C) (1 + sin
θ)/(1 - sin θ)
- (D) (1 - sin
θ)/(1 + sin θ)
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 ‘θ’, their resultant, will be
- (A) P cos
θ/2
- (B) 2P sin
θ/2
- (C) P tan
θ/2
- (D) 2P cos
θ/2
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