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Applied Mechanics and Graphic Statics

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)

log r
1/r
r2
r

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Applied Mechanics and Graphic Statics
Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is

1/3
2/3
3/5
1/5

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Applied Mechanics and Graphic Statics
The torque produced by a force depends oni. the magnitude of the forceii. the direction of the forceiii. the point of application of the force relative to originThe correct answer is

both (i) and (iii)
only (i)
both (i) and (ii)
all (i), (ii) and (iii)

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Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1
2R/r1 + r2
R/r1 - r2
3R/r1 - r2

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Applied Mechanics and Graphic Statics
On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts

Zero at its upper end
Downwards at its upper end
Upwards at its upper end
Perpendicular to the wall at its upper end

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Applied Mechanics and Graphic Statics
If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is

P/Q
P - Q
Q/P
P + Q

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