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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

5
3
4
2

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Applied Mechanics and Graphic Statics
The point about which combined motion of rotation and translation of a rigid body takes place, is known as

Virtual centre
Point of rotation
Instantaneous centre
Instantaneous axis

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

3
1/4
4
1/3

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Applied Mechanics and Graphic Statics
The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

To be zero
To be minimum
None of these
To be maximum

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Applied Mechanics and Graphic Statics
A rigid body is in a stable equilibrium if the application of any force

None of above
Can raise the CG of the body but cannot lower it
Tends to lower the CG of the body
Neither raises nor lowers the CG of the body

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Applied Mechanics and Graphic Statics
For a simple pendulum, time period for a beat, is

π √(2l/g)
π √(l/2g)
π √(l/g)
π √(g/2l)

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