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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

0.5 m
1.5 m
1.0 m
0.75 m

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

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

64 J
400 J
464 J
89 J

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

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

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Applied Mechanics and Graphic Statics
From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

0.75 cm
1.00 cm
0.25 cm
0.50 cm

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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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