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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(1/3) g sin0
(5/7) g sin0
(3/7) g sin 0
(2/5) g sin 0

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Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

5
3
4
2

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Applied Mechanics and Graphic Statics
A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

Is not changed but weight of the bob is increased
Must be increased
Is not changed but weight of the bob is decreased
Must be decreased

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

18.85 m/sec
188.5 m/sec
1.885 m/sec
0.18845 m/sec

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Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

1/r
r2
log r
r

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g cos 9
(2/3) g sin 0
g sin 9
(1/3) g sinB

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