Theory of Machine
The instantaneous center of a rigid thin disc rolling on a plane rigid surface is located at

The point on the circumference situated vertically opposite to the contact point
The point of contact
An infinite distance on the plane surface
The center of the disc

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Theory of Machine
Inertia force acts

Perpendicular to the acceleration force
None of the listed here
Opposite to the direction of acceleration force
Along the direction of acceleration force

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Theory of Machine
A motor car moving at a certain speed takes a left turn in a curved path. If the engine rotates in the same direction as that of wheels, men due to centrifugal force

The reaction on the outer wheels increases and on the inner wheels decreases
The reaction on the front wheels increases and on the rear wheels decreases
The reaction on me inner wheels increases and on the outer wheels decreases
The reaction on the rear wheels increases and on the front wheels decreases

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Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

(l₁ + l₂ + l₃)/3
l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³
l₁ + l₂ + l₃
l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴

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