# 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) ω

^{2 }(

*l*cos ϕ +

*r*sin ϕ tan θ)

- (B) ω

^{2 }(

*l*sin ϕ +

*r*cos φ tan θ)

- (C) ω (

*l*sin ϕ +

*r*cos ϕ tan θ)

- (D) ω

^{2 }(

*l*sin ϕ -

*r*cos θ tan ϕ)

**4. One Newton force, is**

- (A) 10

^{3}dynes

- (B) 10

^{4}dynes

- (C) 10

^{5}dynes

- (D) 10

^{6}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) 2

*E*

- (D) 4

*E*

**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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