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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)

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

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Applied Mechanics and Graphic Statics
‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

μ
½μ
2μ
3μ

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Applied Mechanics and Graphic Statics
A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

40 sec
30 sec
15 sec
20 sec

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Applied Mechanics and Graphic Statics
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

0.3 R
0.4 R
0.6 R
0.2 R

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Applied Mechanics and Graphic Statics
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

6 J
2 J
4 J
8 J

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Applied Mechanics and Graphic Statics
The motion of a particle is described by the relation x = t²- 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be

60 m
50 m
Zero
30 m

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