Practice Test: Question Set - 06
1. The angle of friction is:
- (A) The ratio of
the friction and the normal reaction
- (B) The
force of friction when the body is in motion
- (C) The
angle between the normal reaction and the resultant of normal reaction and
limiting friction
- (D) The
force of friction at which the body is just about to move
2. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are
- (A) 0 and 5 m/sec
- (B) 5 m/sec and 0
- (C) 5√3 m/sec and 0
- (D) 5 and 5√3 m/sec
3. ‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation
- (A) ω2 (l cos
ϕ + r sin ϕ tan θ)
- (B) ω2
(l sin ϕ + r cos φ tan θ)
- (C) ω (l sin
ϕ + r cos ϕ tan θ)
- (D) ω2
(l sin ϕ - r cos θ tan ϕ)
4. One Newton force, is
- (A) 103 dynes
- (B) 104 dynes
- (C) 105 dynes
- (D) 106 dynes
5. A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is
- (A) r (π - 0.75)/(π - 0.5)
- (B) r (π - 0.25)/(π - 0.75)
- (C) r (π - 0.5)/(π - 0.75)
- (D) r (π - 0.5)/(π - 0.25)
6. A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
- (A) E
- (B) E/2
- (C) 2E
- (D) 4E
7. A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
- (A) The extreme
point of the oscillation
- (B) Through the
mean position
- (C) Through a
point at half amplitude
- (D) None
of these
8. Pick up the correct statement from the following:
- (A) Nature
plays an important role in the launch of a satellite
- (B) The
earth's gravity reduces the speed of a satellite by 32 km per second
- (C) The
gravitational force relents as the satellite climbs higher
- (D) All the
above
9. A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,
- (A) 5 N
- (B) 10 N
- (C) 15 N
- (D) 25 N
10. A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is
- (A) 1/4
- (B) 1/3
- (C) 3
- (D) 4
11. For a self-locking machine, the efficiency should be
- (A) Less than
60%
- (B) 50%
- (C) More
than 50%
- (D) None
of these
12. The C.G. of a right circular cone lies on its axis of symmetry at a height of
- (A) h/2
- (B) h/3
- (C) h/4
- (D) h/5
13. The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are
- (A) 1 kg and 4
kg
- (B) 2 kg and 3
kg
- (C) √3 kg
and √5 kg
- (D) 3 kg
and 5 kg
14. A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will
- (A) Never meet
- (B) Meet after 1 sec
- (C) Meet after 5 sec
- (D) Meet after 10 sec
15. In the structure shown in below figure, the member which carries zero force, is
- (A) AB
- (B) BC
- (C) BE
- (D) All
the above
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