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

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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

0.084027777777778
0.043055555555556
0.12569444444444
0.042361111111111

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

4
1/3
1/4
3

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Applied Mechanics and Graphic Statics
To double the period of oscillation of a simple pendulum

Its length should be doubled
Its length should be quadrupled
The mass of its bob should be doubled
The mass of its bob should be quadrupled

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

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

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Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line

All (i), (ii) and (iii)
(i) and (ii)
Only (i)
(i) and (iii)

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