# 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/m

^{2}

- (C) kg/sec

^{2}

- (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**

*M*_{1}and*M*_{2}(*M*_{1}>*M*_{2}) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by- (A)

*T*=

*g*(

*M*

_{1}-

*M*

_{2})/

*(M*

_{1}+

*M*

_{2})

- (B)

*T*=

*g*(

*M*

_{1}+

*M*

_{2})/

*(M*

_{1}×

*M*

_{2})

- (C)

*T*=

*g*(

*M*

_{2}-

*M*

_{1})/

*(M*

_{1}+

*M*

_{2})

- (D)

*T*=

*g*(

*M*

_{2}+

*M*

_{1})/

*(M*

_{2}-

*M*

_{1})

**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) 2

*P*sin θ/2

- (C)

*P*tan θ/2

- (D) 2

*P*cos θ/2

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