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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

l/√2
2/√3 l
½ l
¾ l

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

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

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Applied Mechanics and Graphic Statics
For a self-locking machine, the efficiency should be

0.5
More than 50%
Less than 60%
None of these

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

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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

80 N
60 N
120 N
100 N

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/2
A/√2
A
A√2

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