# Practice Test: Question Set - 06

**1. The centre of gravity of a right circular solid cone is at a distance of _________ from its base, measured along the vertical axis.(where**

*h*= Height of a right circular solid cone.)- (A)

*h*/2

- (B)

*h*/3

- (C)

*h*/4

- (D)

*h*/6

**2. A particle inside a hollow sphere of radius r, having coefficient of friction Âµ can rest up to height of**

- (A)

*r*/2

- (B)

*r*/

*A*

- (C)

*r*/3

- (D) 0.134

*r*

**3. Which of the following statement is incorrect?**

- (A) A
force acting in the opposite direction to the motion of the body is called
force of friction

- (B) The
ratio of the limiting friction to the normal reaction is called coefficient of
friction

- (C) A
machine whose efficiency is 100% is known as an ideal machine

- (D) The
velocity ratio of a machine is the ratio of load lifted to the effort applied

**4. A sample of metal weighs 219 gms in air, 180 gms in water, 120 gms in an unknown fluid. Then which is correct statement about density of metal**

- (A) Density of metal
can't be determined

- (B) Metal is twice as
dense as water

- (C) Metal will float in
water

- (D) Metal is twice as
dense as unknown fluid

**5. The centre of percussion is below the centre of gravity of the body and is at a distance equal to**

- (A)

*h*/

*k*

_{G}- (B)

*h*

^{2}/

*k*

_{G}- (C)

*k*

_{G}^{2}/

*h*

- (D)

*h*×

*k*

_{G}**6. A cable with a uniformly distributed load per horizontal meter run will take the following shape**

- (A) Straight line

- (B) Parabola

- (C) Hyperbola

- (D) Elliptical

**7. When a body falls freely under gravitational force, it possesses __________ weight.**

- (A) No

- (B) Minimum

- (C) Maximum

- (D) None of
these

**8. A body moves, from rest with a constant acceleration of 5 m per sec. The distance covered in 5 sec is most nearly**

- (A) 38 m

- (B) 62.5 m

- (C) 96 m

- (D) 124 m

**9. When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.**

- (A) Directly
proportional

- (B) Inversely
proportional

- (C) Cube root

- (D) None
of these

**10. Limiting force of friction is the**

- (A) Tangent of angle
between normal reaction and the resultant of normal reaction and limiting
friction

- (B) Ratio of limiting
friction and normal reaction

- (C) The friction force
acting when the body is just about to move

- (D) The friction force
acting when the body is in motion

**11. A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where,**

*M*= Mass of the body, and*S*= Sum of the squares of the two semi-axes.)- (A)

*MS*/3

- (B)

*MS*/4

- (C)

*MS*/5

- (D) None
of these

**12. The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be**

- (A) 20 kg, -ve sense

- (B) 20 kg, + ve sense

- (C) 10 kg, + ve sense

- (D) 10 kg, -ve sense

**13. In a framed structure, as shown in the below figure, the force in the member**

*BC*is- (A)

*W*/

*√*3 (compression)

- (B)

*W*/

*√*3 (tension)

- (C) 2

*W*/

*√*3 (compression)

- (D) 2

*W*/

*√*3 (tension)

**14. For any system of coplanar forces, the condition of equilibrium is that the**

- (A) Algebraic
sum of the horizontal components of all the forces should be zero

- (B) Algebraic
sum of the vertical components of all the forces should be zero

- (C) Algebraic
sum of moments of all the forces about any point should be zero

- (D) All
of the above

**15. D' Alembert's principle is used for**

- (A) Reducing the problem
of kinetics to equivalent statics problem

- (B) Determining stresses
in the truss

- (C) Stability of floating
bodies

- (D) Designing safe
structures

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