# Practice Test: Question Set - 20

**1. Which of the following is an equation of linear motion?(where,**

*u*and*v*= Initial and final velocity of the body,*a*= Acceleration of the body, and*s*= Displacement of the body in time*t*seconds.)- (A)

*v*=

*u*+

*a*.

*t*

- (B)

*s*=

*u*.

*t*+ ½

*a*.

*t*

^{2}

- (C)

*v*

^{2}=

*u*

^{2}

_{ }+ 2

*a*.

*s*

- (D) All of these

**2. Moment of inertia of a hollow circular section, as shown in the below figure about**

*X*-axis, is- (A)

*π/*16

*(D² - d²)*

- (B)

*π/*16

*(D³ - d³)*

- (C)

*π/*32

*(D⁴ - d⁴)*

- (D)

*π/*64

*(D⁴ - d⁴)*

**3. The forces which do not meet at one point and their lines of action do not lie on the same plane are known as**

- (A) Coplanar
concurrent forces

- (B) Coplanar
non-concurrent forces

- (C) Non-coplanar
concurrent forces

- (D) None
of these

**4. Concurrent forces are those forces whose lines of action**

- (A) Lie on the
same line

- (B) Meet
at one point

- (C) Meet
on the same plane

- (D) None
of these

**5. The moment of inertia of a solid cylinder of mass '**

*m'*, radius '*r'*and length '*l'*about the longitudinal axis or polar axis is- (A)

*mr*

^{2}/2

- (B)

*mr*

^{2}/4

- (C)

*mr*

^{2}/6

- (D)

*mr*

^{2}/8

**6. According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e.**

*I*) is given by(where,_{P}*A*= Area of the section,*I*= Moment of inertia of the section about an axis passing through its C.G., and_{G}*h*= Distance between C.G. and the parallel axis.)- (A)

*I*=

_{P}*I*+

_{G}*Ah*

^{2}

- (B)

*I*=

_{P}*I*-

_{G}*Ah*

^{2}

- (C)

*I*=

_{P}*I*/

_{G}*Ah*

^{2}

- (D)

*I*=

_{P}*Ah*

^{2}/

*I*

_{G}**7. The law of the machine is (where**

*P*= Effort applied to lift the load,*m*= A constant which is equal to the slope of the line,*W*= Load lifted, and*C*= Another constant which represents the machine friction.)- (A)

*P*=

*mW*-

*C*

- (B)

*P*=

*m*/

*W*+

*C*

- (C)

*P*=

*mW*+

*C*

- (D)

*P*=

*C*-

*mW*

**8. The wheels of a moving car possess**

- (A) Potential
energy only

- (B) Kinetic
energy of translation only

- (C) Kinetic
energy of rotation only

- (D) Kinetic
energy of translation and rotation both

**9. The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by**

- (A) 2

*P*

*sinθ*/2

- (B) 2

*P*

*cosθ*/2

- (C) 2

*P*

*tanθ*/2

- (D) 2

*P*

*cotθ*/2

**10. The coefficient of restitution for inelastic bodies is**

- (A) Zero

- (B) One

- (C) Between
zero and one

- (D) More than
one

**11. If a number of forces are acting at a point, their resultant will be inclined at an angle '**

*θ*' with the horizontal, such that- (A)

*tanθ = ΣH/ΣV*

- (B)

*tanθ = ΣV/ΣH*

- (C)

*tanθ = ΣV*×

*ΣH*

- (D)

*tanθ = √*(

*ΣV*+

*ΣH*)

**12. The periodic time of a particle with simple harmonic motion is _________ proportional to the angular velocity.**

- (A) Directly

- (B) Inversely

- (C) Square root

- (D) None of
these

**13. The efficiency of a screw jack is maximum, when (where**

*α*= Helix angle, and*φ*= Angle of friction.)- (A)

*α =*45°

*+ φ/*2

- (B)

*α =*45°

*- φ/*2

- (C)

*α =*90°

*+ φ*

- (D)

*α =*90°

*- φ*

**14. The total motion possessed by a body, is called**

- (A) Impulsive
force

- (B) Mass

- (C) Weight

- (D) Momentum

**15. A screw jack used for lifting the loads is**

- (A) A reversible
machine

- (B) A
non-reversible machine

- (C) An ideal
machine

- (D) None of
these

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