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

16 tp
tp /16
4 tp
tp /4

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Theory of Machine
A thin circular disc is rolling with a uniform linear speed, along a straight path on a plane surface. Which of the following statement is correct in this regard?

The centre of the disc has centrifugal acceleration
All points of the disc have the same velocity
The centre of the disc has zero acceleration
The point on the disc making contact with the plane surface has zero acceleration

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