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Applied Mechanics and Graphic Statics

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

M2L’T3
M’L-‘T1
M’^T’
M’L-‘T0

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

P² + Q² + 2PQ tan θ
P² + Q² + 2P sin θ
P² + Q² + 2PQ cos θ
√(P² + Q² + 2PQ cos θ)

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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

17.5 kg
22.5 kg
19.5 kg
25 kg

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Applied Mechanics and Graphic Statics
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

1.5 m/sec
1.0 m/sec
2.5 m/sec
0.5 m/sec

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is

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

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Applied Mechanics and Graphic Statics
If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to

5 kg
None of these
1 kg
7 kg

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