The velocity of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by (where $$\omega $$ = Angular velocity of the cam shaft)

The acceleration of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by

A

$${\omega ^2}\left( {{{\text{r}}_1}{{\text{r}}_2}} \right)\left( {1 - {{\cos }^2}\theta } \right)$$

B

$${\omega ^2}\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)\left( {1 + {{\cos }^2}\theta } \right)$$

C

$${\omega ^2}\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)\left( {\frac{{2 - {{\cos }^2}\theta }}{{{{\cos }^3}\theta }}} \right)$$

D

$${\omega ^2}\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)\left( {1 - {{\sin }^2}\theta } \right)$$

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

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

A disc is a spinning with an angular velocity $$\omega $$ rad/s about the axis of spin. The couple applied to the disc causing precession will be (where $$I$$ = Mass moment of inertia of the disc and $$\omega {\text{P}}$$ = Angular velocity of precession of the axis of spin)

A

$$\frac{1}{2}I{\omega ^2}$$

B

$$I{\omega ^2}$$

C

$$\frac{1}{2}I\omega \omega {\text{P}}$$

D

$$I\omega \omega {\text{P}}$$

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

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

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

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

2.4 omega এবং 3.8 omega তিনটি রোধক 54 V ব্যাটারির সাথে সিরিজ সংযোগ করা আছে। ব্যাটারি অভ্যন্তরীণ রোধ না থাকলে 3.6 omega রোধকের দুই প্রান্তে বিভব পার্থক্য কত?

A

6V

B

12 V

C

20 V

D

24 V

Choose the sentence (s) in which the word 'straight means 'honest or frank'. (1) Draw a straight line through the two points. (2) You are not being straight with me, even though you know that I like straight answers. (3) It was a straight choice between taking or leaving the offer of friendship.

A

(1)

B

(3)

C

(1) and (2)

D

1) and (3)

In a circular arc cam with roller follower, the acceleration in any position of the lift will depend only upon

A

Total lift, total angle of lift, minimum radius of cam and cam speed

B

Radius of circular arc, cam speed, location of centre of circular arc and roller diameter

C

Mass of cam follower linkage, spring stiffness and cam speed

D

Total lift, centre of gravity of the cam and cam speed

A cam with a roller follower would constitute following type of pair

A

Lower pair

B

Higher pair

C

Open pair

D

Close pair

The velocity of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by (where $$\omega $$ = Angular velocity of the cam shaft)

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