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Theory of Machine

Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

cosφ
cosecφ
sinφ
secφ

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Theory of Machine
The brake commonly used in railway trains is

Internal expanding brake
Shoe brake
Band and block brake
Band brake

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

45 mm
Slightly less than 45 mm
Slightly more than 45 mm
95 mm

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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 /16
4 tp
tp /4
16 tp

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Theory of Machine
In automobiles the power is transmitted from gear box to differential through

Knuckle joint
Universal joint
Hooke's joint
Bevel gear

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Theory of Machine
The driving and driven shafts connected by a Hooke's joint will have equal speeds, if

tanθ = ± cosα
cosθ = sinα
sinθ = ± tanα
cotθ = cosα

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