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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Maximum efficiency of a screw jack for the angle of friction θ, is

sin θ/(1 + sin θ)
(1 - sin θ)/sin θ
(1 + sin θ)/(1 - sin θ)
(1 - sin θ)/(1 + sin θ)

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Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

log r
1/r
r
r2

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Applied Mechanics and Graphic Statics
The apparent weight of a man in a moving lift is less than his real weight when it is going down with

An acceleration
Linear momentum
Retardation
Uniform speed

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Applied Mechanics and Graphic Statics
One Newton is equivalent to

981 dyne
9.81 kg. wt
1/9.81 kg. wt
1 kg. wt

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(b² + bc + c²)/3 (b + c)
(a² + ab + c²)/3 (a + c)
None of these
(a² + ab + b²)/3 (a + b)

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Applied Mechanics and Graphic Statics
It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to

f²
f
1/f
1/f²

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