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Theory of Machine

Theory of Machine
Which gear is used for connecting two coplanar and intersecting shafts?

None of these
Helical gear
Bevel gear
Spur gear

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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)2r
(ω₁ + ω₂)r
(ω₁ - ω₂)r
ω₁.ω₂.r

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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
The frictional torque transmitted in a conical pivot bearing, considering uniform pressure, is (where R = Radius of shaft, and α = Semi-angle of the cone)

(3/4) μ W R cosecα
(1/2) μ W R cosecα
(2/3) μ W R cosecα
μ W R cosecα

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

G.I₂
G².I₂
I₂/G²
I₂/G

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Theory of Machine
The Scott-Russell mechanism consists of

Sliding pairs only
Turning and rotary pairs
Sliding and turning pairs
Sliding and rotary pairs

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