## Theory of Machine When the pitching of a ship is upward, the effect of gyroscopic couple acting on it will be

To raise the stern and lower the bow
To raise the bow and lower the stern
To move the ship towards port side
To move the ship towards starboard

cotα = c/2b
tanα = c/2b
sinα = b/c
cosα = c/b

2
1.5
0.5
1

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

## Theory of Machine In gears, interference takes place when

Gear teeth are undercut
Gears do not move smoothly in the absence of lubrication
Pitch of the gears is not same
The tip of a tooth of a mating gear digs into the portion between base and root circles

## Theory of Machine When a mass of a critically damped single degree of freedom system is deflected from its equilibrium position and released, then it will

Oscillate with increasing time period