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Applied Mechanics and Graphic Statics

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

bh³/36
bh³/3
b³h/12
bh³/2

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g cos 9
(2/3) g sin 0
g sin 9
(1/3) g sinB

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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

2E
4E
E
E/2

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Applied Mechanics and Graphic Statics
The velocity of a body fallen from height ‘h’, on reaching the ground is given by

v = 2gh
v = 1/√(2gh)
v = 2gh²
v = √(2gh)

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Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

That polygon of forces must close
None of these
Both (A) and (B)
That resultant couple must be zero

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

12.88 m/sec
10.88 m/sec
5.88 m/sec
8.88 m/sec

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