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Theory of Machine

Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₂/D₁
D₁/D₂
D₁.D₂
D₁

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Theory of Machine
There are six gears A, B, C, D, E and F in a compound train. The numbers of teeth in the gears are 20, 60, 30, 80, 25 and 75 respectively. The ratio of angular speeds of the driven (F) to the driver (A) of the drive is

12
1/24
4/15
1/8

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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
Torsional vibrations are said to occur when the particles of a body moves

None of these
Parallel to its axis
In a circle about its axis
Perpendicular to its axis

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Theory of Machine
The retardation of a flat faced follower when it has contact at the apex of the nose of a circular arc cam, is given by (where OQ = Distance between the centre of circular flank and centre of nose)

ω² × OQ cosθ
ω² × OQ tanθ
ω² × OQ
ω² × OQ sinθ

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Theory of Machine
In order to balance the reciprocating masses,

None of these
Primary forces and couples must be balanced
Both (A) and (B)
Secondary forces and couples must be balanced

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