The linear velocity of a body rotating at $$\omega $$ rad/s along a circular path of radius r is given by

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

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 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

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

When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel and $$\varphi $$ = Pressure angle)

A

$$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\cos \varphi }}{2}$$

B

$$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\sin \varphi }}{2}$$

C

$$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\cos \varphi }}{2}$$

D

$$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\sin \varphi }}{2}$$

If $$\frac{\omega }{{\omega {\text{n}}}}$$ is very high for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

A

0°

B

90°

C

180°

D

360°

If $$\frac{\omega }{{\omega {\text{n}}}}$$ is very low for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

A

0°

B

90°

C

180°

D

360°

A point B on a rigid link AB moves with respect to A with angular velocity $$\omega $$ rad/s. The radial component of the acceleration of B with respect to A, is (where vBA = Linear velocity of B with respect to A)

A

vBA × AB

B

$$\frac{{{\text{vBA}}}}{{{\text{AB}}}}$$

C

v²BA

D

$$\frac{{{{\text{v}}^2}{\text{BA}}}}{{{\text{AB}}}}$$

একটি তড়িৎকোষের বিদ্যুৎ চালক বল 1.4 V এবং অভ্যন্তরীণ রোধ 0.2 omega ইহার প্রান্তদ্বয় 2.6 omega রোধের একটি তার দ্বারা যুক্ত করলে কোষটির প্রান্তীয় বিভব পার্থক্য কত হবে?

A

1.0 V

B

1.5 V

C

2.0 V

D

1.3 V

100 omega রোধের একটি গ্যালভানোমিটার সর্বোচ্চ 10 mA তড়িৎ নিরাপদে গ্রহণ করতে পারে। সান্ট কত omega হলে এর দ্বারা 10 A প্রবাহ মাপা যাবে?

A

0.1

B

0.01

C

1

D

10

In vibration isolation system, the transmissibility will be equal to unity, for all values of damping factor, if $$\frac{\omega }{{\omega {\text{n}}}}$$ is

A

Equal to 1

B

Equal to 2

C

Less than 2

D

Greater than 2

The linear velocity of a body rotating at $$\omega $$ rad/s along a circular path of radius r is given by

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