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Theory of Machine

Theory of Machine
If the number of links in a mechanism is equal to l, then the numbers of possible inversions are equal to

l
l - 1
l + 1
l - 2

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Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Without vibrations
Critically damped
Under damped
Over-damped

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Theory of Machine
The driving and driven shafts connected by a Hooke's joint will have equal speeds, if

sinθ = ± tanα
cosθ = sinα
tanθ = ± cosα
cotθ = cosα

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Theory of Machine
For S.H.M. cam, the acceleration of the follower at the ends of the stroke and aimed stroke respectively, is

Maximum and zero
Zero and maximum
Minimum and maximum
Zero and minimum

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Theory of Machine
In S.H.M., the velocity vector w.r.t. displacement vector

Lags by 90°
Are in phase
Leads by 180°
Leads by 90°

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Theory of Machine
In a Hartnell governor, the compression of the spring is __________ the lift of the sleeve.

Greater than
None of these
Less than
Equal to

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