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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A satellite is said to move in a synchronous orbit if it moves at an altitude of 36,000 km with a maximum velocity of about

7000 km per hour
9000 km per hour
8000 km per hour
11,000 km per hour

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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)

r
1/r
r2
log r

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Applied Mechanics and Graphic Statics
A flywheel of moment of inertia 20 kg.m is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is

2
43892
3
43832

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Applied Mechanics and Graphic Statics
A satellite goes on moving along its orbit round the earth due to

None of these
Centripetal force
Centrifugal force
Gravitational force

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Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

50 m/sec
40 m/sec
20 m/sec
30 m/sec

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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

0.084027777777778
0.042361111111111
0.12569444444444
0.043055555555556

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