Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

I₂/G²
G.I₂
G².I₂
I₂/G

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

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

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Theory of Machine
Which is the false statement about the properties of instantaneous center?

The two rigid links which have no linear velocity relative to each other at this center have the same linear velocity to the third rigid link
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered
The double center can be denoted either by O2 or O12, but proper selection should be made
The two rigid links have no linear velocities relative to each other at the instantaneous center

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