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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The angle of projection at which the horizontal range and maximum height of a projectile are equal to

56°
45°
36°
76°

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(3/7) g sin 0
(1/3) g sin0
(5/7) g sin0
(2/5) g sin 0

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Applied Mechanics and Graphic Statics
A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

None of these
Through a point at half amplitude
Through the mean position
The extreme point of the oscillation

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/8d
wl²/16d
wl²/4d
wl/4d

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Applied Mechanics and Graphic Statics
‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

2μ
½μ
3μ
μ

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Applied Mechanics and Graphic Statics
If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is

8°
9°
11°
10°

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