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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/2
A/√2
A√2
A

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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.)

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

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Applied Mechanics and Graphic Statics
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

π/32 (D⁴ + d⁴)
π/32 (D⁴ - d⁴)
π/64 (D⁴ + d⁴)
π/32 (D⁴ × d⁴)

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Applied Mechanics and Graphic Statics
The unit of rotational inertia of a body in C.G.S system is

gm.cm²
kg.cm²
cm⁴
gm.cm3

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Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

400 J
200 J
150 J
50 J

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Applied Mechanics and Graphic Statics
The force polygon representing a set of forces in equilibrium is a

Closed polygon
Parallelogram
Triangle
Open polygon

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