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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/16
πd⁴/24
π/64 (D⁴ + d⁴)
πd⁴/32

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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.)

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

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Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

337.5 cm⁴
237.5 cm⁴
137.5 cm⁴
437.5 cm⁴

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Applied Mechanics and Graphic Statics
Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is

43895
43864
43835
43833

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Applied Mechanics and Graphic Statics
A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is

17° 48'
20° 48'
18° 48'
19° 48'

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Applied Mechanics and Graphic Statics
If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is

6 rad/sec²
12 rad/sec²
1 rad/sec²
4 rad/sec²

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