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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

7.5 cm
5.0 cm
8.75 cm
7.85 cm

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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)

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

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Applied Mechanics and Graphic Statics
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

n/2 rpm
n rpm
2n rpm
n/4 rpm

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Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

45°
30°
None of these
60°

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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

Point of rotation
Virtual centre
Instantaneous centre
Instantaneous axis

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (2/3) sin 6
less than (1/3) sin 6
less than (1/3) tan 0
less than (2/3) tan 0

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