**
**When the crank is at the inner dead center, in a reciprocating steam engine, then the velocity of the piston will be

When the crank is at the inner dead center, in a reciprocating steam engine, then the velocity of the piston will be

**(A)**

minimum

**(B)**

zero

**(C)**

maximum

**(D)**

none of the mentioned

**B**

**
**The unbalanced primary forces in a reciprocating engine are

The unbalanced primary forces in a reciprocating engine are

**(A)**

balanced completely

**(B)**

balanced partially

**(C)**

balanced by secondary forces

**(D)**

not balanced

**B**

**
**If the mass of the reciprocating parts is doubled, then the primary force is halved.

If the mass of the reciprocating parts is doubled, then the primary force is halved.

**(A)**

True

**(B)**

False

**B**

**
**The acceleration of piston in a reciprocating steam engine is given by (where ω = Angular velocity of the crank, r = Radius of crank pin circle, θ = Angle turned by the crank from inner dead center and n = Ratio of length of connecting rod to the radius of the crank)

The acceleration of piston in a reciprocating steam engine is given by (where ω = Angular velocity of the crank, r = Radius of crank pin circle, θ = Angle turned by the crank from inner dead center and n = Ratio of length of connecting rod to the radius of the crank)

**(A)**

$$\omega.r\;\left(\sin\;\theta+\frac{\sin\;2\theta}n\right)$$

**(B)**

$$\omega.r\;\left(\cos\;\theta+\frac{\cos\;2\theta}n\right)$$

**(C)**

$$\omega^2.r\;\left(\sin\;\theta+\frac{\sin\;2\theta}n\right)$$

**(D)**

$$\omega^2.r\;\left(\cos\;\theta+\frac{\cos\;2\theta}n\right)$$

**D**

**
**The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of the crank, θ = Angle of inclination of the crank with the line of stroke, and n = Ratio of the length of connecting rod to the radius of the crank)

The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of the crank, θ = Angle of inclination of the crank with the line of stroke, and n = Ratio of the length of connecting rod to the radius of the crank)

**(A)**

$$mr\omega^2\;\sin\theta$$

**(B)**

$$mr\omega^2\;\cos\theta$$

**(C)**

$$mr\omega^2\left(\frac{\sin\;2\theta}n\right)$$

**(D)**

$$mr\omega^2\left(\frac{\cos\;2\theta}n\right)$$

**B**