## Theory of Machine In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω cosθ/(n² - cos²θ)1/2
ω sinθ/(n² - sin²θ)1/2
ω cosθ/(n² - sin²θ)1/2
ω sinθ/(n² - cos²θ)1/2

n₁ + n₂ - 1
n₁ + n₂
n₁ + n₂ - 2
n₁ + n₂ + 1

## Theory of Machine Which of the following is an example of a higher pair?

Ball and roller bearing
Toothed gearing
Belt and rope drive
All of the listed here

## 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)

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

## Theory of Machine Longitudinal vibrations are said to occur when the particles of a body moves

Perpendicular to its axis
None of these
In a circle about its axis
Parallel to its axis

## Theory of Machine The main disadvantage of the sliding pair is that it is

Difficult to manufacture
Both (A) and (B) above
Wears rapidly
Bulky