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

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Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of a cross belt drive. The length of the belt is

π (r₁ + r₂) + [(r₁ - r₂)²/x] + 2x
π (r₁ - r₂) + [(r₁ - r₂)²/x] + 2x
π (r₁ - r₂) + [(r₁ + r₂)²/x] + 2x
π (r₁ + r₂) + [(r₁ + r₂)²/x] + 2x

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Theory of Machine
When the belt is stationary, it is subjected to some tension known as initial tension. The value of this tension is equal to the

Tension in the slack side of the belt
Average tension of the tight side and slack side of the belt
Tension in the tight side of the belt
Sum of the tensions on the tight side and slack side of the belt

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