APPLIED MECHANICS AND GRAPHIC STATICS QUIZ

Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be

None of these

5 m/sec

10 m/sec

Zero

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A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is

w cos (θ + φ)/cos φ

w sinθ cos(θ - φ)/sin φ

w sin (φ - θ)/cos φ

w sin (θ - φ)/cos φ

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A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

Catenary

Ellipse

Cycloid

Parabola

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The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

1.885 m/sec

188.5 m/sec

0.18845 m/sec

18.85 m/sec

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Varingon’s theorem of moment’s states

Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point

Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point

Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point

Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point

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A rigid body is in a stable equilibrium if the application of any force

Can raise the CG of the body but cannot lower it

None of above

Tends to lower the CG of the body

Neither raises nor lowers the CG of the body

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To double the period of oscillation of a simple pendulum

Its length should be doubled

Its length should be quadrupled

The mass of its bob should be quadrupled

The mass of its bob should be doubled

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A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

50 J

200 J

400 J

150 J

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The frequency of oscillation on moon as compared to that on earth, will be

2.44 times less

3 times more

2.44 times more

3 times less

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The following statement is one of the laws of Dynamic friction

The force of friction always acts in a direction opposite to that in which a body is moving

For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed

All of these

The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction

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