Theory of Machine
In a simple harmonic motion, the velocity vector with respect to displacement vector

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

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Theory of Machine
A thin circular disc is rolling with a uniform linear speed, along a straight path on a plane surface. Which of the following statement is correct in this regard?

All points of the disc have the same velocity
The point on the disc making contact with the plane surface has zero acceleration
The centre of the disc has centrifugal acceleration
The centre of the disc has zero acceleration

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

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