# Practice Test: Question Set - 01

**1. A body of mass ‘**

*m’*moving with a constant velocity ‘*v’*strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is- (A)

*v*

- (B) 2

*v*

- (C) 4

*v*

- (D) 8

*v*

**2. The bellow figure shows the three coplanar forces**

*P*,*Q*and*R*acting at a point*O*. If these forces are in equilibrium, then- (A) P/sin β =
Q/sin α = R/sin ɣ

- (B) P/sin α =
Q/sin β = R/sin ɣ

- (C) P/sin ɣ =
Q/sin α = R/sin β

- (D) P/sin α =
Q/sin ɣ = R/sin β

**3. The centre of percussion of the homogeneous rod of length ‘L’ suspended at the top will be**

- (A) L/2

- (B) L/3

- (C) 3L/4

- (D) 2L/3

**4. The angle of inclination of the plane at which the body begins to move down the plane, is called**

- (A) Angle
of friction

- (B) Angle
of repose

- (C) Angle
of projection

- (D) None
of these

**5. Pick up wrong statement about friction force for dry surfaces. Friction force is**

- (A) Proportional to
normal load between the surfaces

- (B) Dependent on the
materials of contact surface

- (C) Proportional to
velocity of sliding

- (D) Independent of the
area of contact surfaces

**6. The term 'Centroid' is**

- (A) The
same as centre of gravity

- (B) The
point of suspension

- (C) The
point of application of the resultant of all the forces tending to cause a body
to rotate about a certain axis

- (D) None
of the above

**7. The C.G. of a plane lamina will not be at its geometrical centre in the case of a**

- (A) Right angled triangle

- (B) Equilateral triangle

- (C) Square

- (D) Circle

**8. If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be**

- (A) Same

- (B) Half

- (C) Double

- (D) None
of these

**9. The moment of inertia of a thin rod of mass '**

*m'*and length '*l'*, about an axis through its centre of gravity and perpendicular to its length is- (A)

*ml*

^{2}/4

- (B)

*ml*

^{2}/ 6

- (C)

*ml*

^{2}/8

- (D)

*ml*

^{2}/12

**10. Forces are called coplanar when all of them acting on body lie in**

- (A) One point

- (B) One plane

- (C) Different planes

- (D) Perpendicular planes

**11. A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of**

- (A) 1 m

- (B) 2 m

- (C) 3 m

- (D) 4 m

**12. A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is**

- (A) Reversible

- (B) Non-reversible

- (C) Ideal

- (D) None of
these

**13. Centre of gravity of a solid cone lies on the axis at the height**

- (A) One fourth of the
total height above base

- (B) One third of the
total height above base

- (C) One-half of the total height above base

- (D) Three eighth of the
total height above the base

**14. The periodic time (**

*T*) is given by (where, ω = Angular velocity of particle in rad/s.)- (A)

*ω*/2

*π*

- (B) 2

*π*/

*ω*

- (C) 2

*π*×

*ω*

- (D)

*π*/

*ω*

**15. The resultant of two forces**

*P*and*Q*(such that*P*>*Q*) acting along the same straight line, but in opposite direction, is given by- (A)

*P*+

*Q*

- (B)

*P*-

*Q*

- (C)

*P*/

*Q*

- (D)

*Q*/

*P*

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