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Applied Mechanics and Graphic Statics

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)

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

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Applied Mechanics and Graphic Statics
For a self-locking machine, the efficiency should be

More than 50%
None of these
0.5
Less than 60%

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Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1
2R/r1 + r2
3R/r1 - r2
R/r1 - r2

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Applied Mechanics and Graphic Statics
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

4E
E
E/2
2E

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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

Virtual centre
Instantaneous centre
Point of rotation
Instantaneous axis

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Applied Mechanics and Graphic Statics
The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

bh³/3
b³h/12
bh³/2
bh³/36

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