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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

1.00 m/sec
6.28 m/sec
1.57 m/sec
3.14 m/sec

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Applied Mechanics and Graphic Statics
A weight ‘W’ is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is

W sec θ
W cos θ
W sin θ
W cosec θ

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Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J

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

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

One-fourth of the total height above base
None of these
One-third of the total height above base
One-half of the total height above base

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Always reduce to a couple
Be in equilibrium
Always reduce to a resultant force
Both (A) and (C)

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Applied Mechanics and Graphic Statics
The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

30°
75°
60°
45°

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