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Applied Mechanics and Graphic Statics

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
None of these
To be maximum
To be minimum

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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

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

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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 √(g/2l)
π √(l/g)

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Applied Mechanics and Graphic Statics
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

119.5 mm from A
109.5 mm from A
132.5 mm from A
125.5 mm from A

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Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

1 sec
1.2 sec
½ sec
1.5 sec

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Applied Mechanics and Graphic Statics
Which of the following represents the state of neutral equilibrium?

A smooth cylinder lying on a curved surface
A cube resting on one edge
None of these
A smooth cylinder lying on a convex surface

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