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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

3 Hz
6 Hz
3π Hz
6π Hz

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Theory of Machine
Which of the following is an inversion of a single slider crank chain?

All of these
Rotary internal combustion engine
Oscillating cylinder engine
Pendulum pump

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Theory of Machine
If there are L number of links in a mechanism, then number of possible inversions is equal to

L
L + 2
L + 1
L - 1

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Theory of Machine
In a screw jack, the effort required to lift the load W is given by (where α = Helix angle, and φ = Angle of friction)

P = W tan(α - φ)
P = W tan(α + φ)
P = W cos(α + φ)
P = W tan(φ - α)

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Theory of Machine
For a kinematic chain to be considered as mechanism

There is no such criterion
Two links should be fixed
None of the links should be fixed
One link should be fixed

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Theory of Machine
In a reciprocating engine, usually __________ of the reciprocating masses are balanced.

Two-third
One-half
Three-fourth
Whole

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