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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The point about which combined motion of rotation and translation of a rigid body takes place, is known as

Instantaneous centre
Virtual centre
Point of rotation
Instantaneous axis

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Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

1.5 sec
1 sec
1.2 sec
½ sec

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (1/3) sin 6
less than (2/3) tan 0
less than (1/3) tan 0
less than (2/3) sin 6

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Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.042361111111111
0.043055555555556
0.084027777777778
0.12569444444444

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Applied Mechanics and Graphic Statics
The time period of a simple pendulum depends on(i) Mass of suspended particle(ii) Length of the pendulum(iii) Acceleration due to gravity

Only (i)
Both (ii) and (iii)
Both (i) and (iii)
All are correct

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Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

l/√2
½ l
¾ l
2/√3 l

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