The swaying couple is maximum or minimum when the angle of inclination of the crank to the line of stroke (θ) is equal to

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

A

$${\text{m}}{\omega ^2}{\text{r}}\sin \theta $$

B

$${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$

C

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\sin 2\theta }}{{\text{n}}}$$

D

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\cos2\theta }}{{\text{n}}}$$

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

A

$${\text{m}}{\omega ^2}{\text{r}}\sin \theta $$

B

$${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$

C

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\sin 2\theta }}{{\text{n}}}$$

D

$${\text{m}}{\omega ^2}{\text{r}}\frac{{\cos2\theta }}{{\text{n}}}$$

The tractive force in a locomotive with two cylinders is given by (where c = Fraction of reciprocating parts per cylinder, m = Mass of reciprocating parts, $$\omega $$ = Angular speed of crank, r = Radius of crank and $$\theta $$ = Angle of inclination of crank to the line of stroke)

A

$${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$

B

$${\text{cm}}{\omega ^2}{\text{r}}\sin \theta $$

C

$$\left( {1 - {\text{c}}} \right){\text{m}}{\omega ^2}{\text{r}}\left( {\cos \theta - \sin \theta } \right)$$

D

$${\text{m}}{\omega ^2}{\text{r}}\left( {\cos \theta - \sin \theta } \right)$$

When the primary direct crank of a reciprocating engine makes an angle of $$\theta $$ with the line of stroke, then the secondary direct crank will make an angle of _________ with the line of stroke.

A

$$\frac{\theta }{2}$$

B

$$\theta $$

C

$$2\theta $$

D

$$4\theta $$

The tractive force is maximum or minimum when the angle of inclination of crank with the line of stroke (θ) is equal to

A

0° and 90°

B

90° and 180°

C

135° and 315°

D

270° and 360°

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

A

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

B

$$\omega {\text{r}}\left( {\cos\theta + \frac{{\cos2\theta }}{{\text{n}}}} \right)$$

C

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

D

$${\omega ^2}{\text{r}}\left( {\cos\theta + \frac{{\cos2\theta }}{{\text{n}}}} \right)$$

The primary unbalanced force is maximum when the angle of inclination of the crank with the line of stroke is

A

0°

B

90°

C

180°

D

360°

The secondary unbalanced force is maximum when the angle of inclination of the crank with the line of stroke is

A

0° and 90°

B

180° and 360°

C

Both (A) and (B)

D

None of these

The maximum or minimum value of the swaying couple is

A

$$ \pm {\text{cm}}{\omega ^2}{\text{r}}$$

B

$$ \pm {\text{a}}\left( {1 - {\text{c}}} \right){\text{m}}{\omega ^2}{\text{r}}$$

C

$$ \pm \frac{{\text{a}}}{{\sqrt 2 }}\left( {1 - {\text{c}}} \right){\text{m}}{\omega ^2}{\text{r}}$$

D

$$ \pm 2{\text{a}}\left( {1 - {\text{c}}} \right){\text{m}}{\omega ^2}{\text{r}}$$

The swaying couple is due to the

A

primary unbalanced force

B

secondary unbalanced force

C

two cylinders of locomotive

D

partial balancing

The swaying couple is maximum or minimum when the angle of inclination of the crank to the line of stroke (θ) is equal to

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