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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)

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

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

6t + 2
3t³ - 2t
3t² + 2t
6t - 2

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Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.042361111111111
0.084027777777778
0.12569444444444
0.043055555555556

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Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

3R/r1 - r2
2R/r1 + r2
2R/r1
R/r1 - r2

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

110 kg
102.5 kg
105.5 kg
108.5 kg

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Applied Mechanics and Graphic Statics
Angular acceleration of a particle may be expressed as

All listed here
Radians/sec²
Degrees/sec²
Revolutions/sec

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