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

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Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Proportional to 1/A²
Independent of A
Proportional to A²
Proportional to A

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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
1/f²
f²

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(ii) and (iii)
(i) and (iv)
(i) and (iii)
(ii) and (iv)

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Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line

Only (i)
All (i), (ii) and (iii)
(i) and (iii)
(i) and (ii)

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is

19.5 kg
17.5 kg
25 kg
22.5 kg

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