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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

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

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

25 m/sec
40 m/sec
15 m/sec
50 m/sec

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Applied Mechanics and Graphic Statics
The motion of a particle moving with S.H.M. from an extremity to the other, constitutes

Half an oscillation
One full oscillation
None of these
Two oscillations

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Applied Mechanics and Graphic Statics
M.I. of solid sphere, is

Mr²
πr4/2
⅔ Mr²
½ Mr²

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(i) and (iii)
(ii) and (iv)
(i) and (iv)
(ii) and (iii)

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Applied Mechanics and Graphic Statics
A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is

4
6 7i
8
8TC

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