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Theory of Machine

Theory of Machine
In order to double the period of a simple pendulum, the length of the string should be

Halved
Doubled
Quadrupled
None of these

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Theory of Machine
The ratio of the driving tensions for V-belts is __________ times that of flat belts.(Where β = Semi-angle of the groove)

sinβ
secβ
cosecβ
cosβ

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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
16 tp
tp /16
4 tp

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Theory of Machine
The main disadvantage of the sliding pair is that it is

Bulky
Both (A) and (B) above
Wears rapidly
Difficult to manufacture

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Theory of Machine
When a slider moves on a fixed link having curved surface, their instantaneous centre lies

At the centre of circle
At the pin joint
On their point of contact
At the centre of curvature

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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 anticlockwise 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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