Theory of Machine
The contact ratio is given by

(Length of the arc of contact)/(Circular pitch)
(Length of the arc of approach)/cosφ
(Length of the path of approach)/(Circular pitch)
(Length of path of recess)/(Circular pitch)

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Theory of Machine
In a steam engine, one method of obtaining the earlier cut-off with a simple slide valve is by increasing the angle of advance of the eccentric while the throw of the eccentric, steam lap and exhaust lap are kept constant. This method will

All of these
Cause withdrawing or throttling of steam
Reduce maximum opening of port to steam
Reduce length of effective stroke of piston

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Theory of Machine
In a cam drive with uniform velocity follower, the sharp corners of the displacement diagram are rounded off at the beginning and at the end of each stroke. This is done

In order to have acceleration in beginning and retardation at the end of stroke within the finite limits
Because of difficulty in manufacturing cam profile
Because of loose contact of follower with cam surface
Because the uniform velocity motion is a partial parabolic motion

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Theory of Machine
The frictional torque transmitted in a truncated conical pivot bearing, considering uniform pressure, is

(2/3). μ W cosecα (r₁ + r₂)
(2/3). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]
(1/2). μ W cosecα (r₁ + r₂)
(1/2). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]

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