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Theory of Machine

Theory of Machine
Minimum number of teeth for involute rack and pinion arrangement for pressure angle of 20° is

10
34
30
20

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Theory of Machine
A machine mounted on a single coil spring has a period of free vibration of tp . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become

tp /4
tp /16
16 tp
4 tp

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

Minimum
Zero
Maximum
None of these

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Theory of Machine
The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line

Perpendicular to line as per (A)
Joining the corresponding points
At 45° to line as per (A)
Not possible to determine with these data

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Theory of Machine
Elements of pairs held together mechanically is known as

Mechanical pair
Closed pair
Open pair
Rolling pair

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Theory of Machine
The magnitude of linear velocity of a point B on a link AB relative to point A is, (Where ω = Angular velocity of the link AB)

ω² × AB
ω × (AB)²
ω × AB
(ω × AB)²

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