## Theory of Machine For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

S₂/S₁ = r₁/r₂
S₁/S₂ = r₁/r₂
(m.g - S₁)/(m.g - S₂) = r₂/r₁
(m.g + S₁)/(m.g + S₂) = r₁/r₂

l₁ = kG
l₁l₂ = kG
l₁l₂ = kG²
l₂ = kG

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

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

## Theory of Machine In higher pair, the relative motion is

Purely sliding
Purely rotary
Purely turning
Combination of sliding and turning

## Theory of Machine Inertia force acts

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

Three forks
Two forks
Four forks
One fork