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 µ 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/kG
- (B) h2/kG
- (C) kG2/h
- (D) h × kG
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) 2W/√3 (compression)
- (D) 2W/√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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