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Applied Mechanics and Graphic Statics

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

0.6 R
0.4 R
0.3 R
0.2 R

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/3) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]

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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

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

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Applied Mechanics and Graphic Statics
The C.G. of a thin hollow cone of height ‘h’, above its base lies on the axis, at a height of

h/4
h/3
3h/4
2h/3

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Applied Mechanics and Graphic Statics
A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

60 N
80 N
100 N
120 N

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Applied Mechanics and Graphic Statics
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

None of these
Q = R
P = Q
P = R

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