Theory of Machine
The frequency of oscillation of a compound pendulum is

(1/2π). √[gh/(kG² + h²)]
2π. √[gh/(kG² + h²)]
(1/2π). √[(kG² + h²)/gh]
2π. √[(kG² + h²)/gh]

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Theory of Machine
Which of the following statement is correct as regard to the difference between a machine and a structure?

The parts of a machine move relative to one another, whereas the members of a structure do not move relative to one another
A machine transforms the available energy into some useful work, whereas in a structure no energy is transformed into useful work
All of these
The links of a machine may transmit both power and motion, whereas the members of a structure transmit forces only

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Theory of Machine
In a cam drive with uniform velocity follower, the sharp corners of the displacement diagram are rounded off at the beginning and at the end of each stroke. This is done

Because the uniform velocity motion is a partial parabolic motion
Because of loose contact of follower with cam surface
Because of difficulty in manufacturing cam profile
In order to have acceleration in beginning and retardation at the end of stroke within the finite limits

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Theory of Machine
The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r sinθ
m.ω².r cosθ
m.ω².r (sin 2θ/n)
m.ω².r (cos 2θ/n)

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