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Theory of Machine

Theory of Machine
The purpose of a link is to

Act as a support
Transmit motion
All of these
Guide other links

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Theory of Machine
When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

ω²r. (n + 1)/n
ω²r. n/(n - 1)
ω²r. n/(n + 1)
ω²r. (n - 1)/n

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Theory of Machine
Oldham’s coupling is an inversion of the kinematic chain used in

Universal joint
Rotary engine
Whitworth quick return mechanism
Elliptical trammels

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Theory of Machine
The velocity of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by (where ω = Angular velocity of the cam shaft)

ω (r₁ r₂) cosθ
ω (r₁ + r₂) cosθ cosec2θ
ω (r₁ r₂) sinθ
ω (r₁ + r₂) sinθ sec2θ

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Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

ω₁.ω₂.r
(ω₁ - ω₂)2r
(ω₁ - ω₂)r
(ω₁ + ω₂)r

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Theory of Machine
The balancing of a rigid rotor can be achieved by appropriately placing balancing masses in

Two planes
Three planes
A single plane
Four planes

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