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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A system of coplanar forces acting on a rigid body can be reduced to

One force and one couple only
One force only
None of these
One couple only

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

8.88 m/sec
12.88 m/sec
10.88 m/sec
5.88 m/sec

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Applied Mechanics and Graphic Statics
If y is force and x is velocity, then dimensions of —=r are dx2

M’L-‘T1
M’L-‘T0
M2L’T3
M’^T’

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Applied Mechanics and Graphic Statics
It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to

1/f
f
f²
1/f²

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Applied Mechanics and Graphic Statics
The units of inertia of mass are

m⁴
kg/m
kg-m²
kg/m²

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Applied Mechanics and Graphic Statics
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

Floor and wall both are smooth surfaces
Floor and wall both are rough surfaces
Floor is smooth and the wall is rough
Floor is rough and the wall is smooth

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