The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity $${\omega _1}$$ rad/s in the clockwise direction and the link OB turns with angular velocity $${\omega _2}$$ rad/s in the clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity $${\omega _1}$$ rad/s in the clockwise direction and the link OB turns with angular velocity $${\omega _2}$$ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

A

$${\omega _1}{\omega _2}{\text{r}}$$

B

$$\left( {{\omega _1} - {\omega _2}} \right){\text{r}}$$

C

$$\left( {{\omega _1} + {\omega _2}} \right){\text{r}}$$

D

$$\left( {{\omega _1} - {\omega _2}} \right)2{\text{r}}$$

The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω1 rad/s in the clockwise direction and the link OB turns with angular velocity ω2 rad/s in the anti-clockwise direction, then the rubbing velocity at the pin joint O is

A

ω1.ω2.r

B

(ω1-ω2)r

C

(ω1+ω2)r

D

(ω1-ω2)2r

In the above question, if both the links OA and OB turns in clockwise direction, then the rubbing velocity at the pin joint O is

A

ω1.ω2.r

B

(ω1-ω2)r

C

(ω1+ω2)r

D

(ω1-ω2)2r

Two monochromatic waves having frequencies $$\omega $$ and $$\omega + \Delta \omega \left( {\Delta \omega \ll \omega } \right)$$ and corresponding wavelengths $$\lambda $$ and $$\lambda - \Delta \lambda \left( {\Delta \lambda \ll \lambda } \right)$$ of same polarization, travelling along X-axis are superimposed on each other. The phase velocity and group velocity of the resultant wave are respectively given by

A

$$\frac{{\omega \lambda }}{{2\pi }},\,\frac{{\Delta \omega {\lambda ^2}}}{{2\pi \Delta \lambda }}$$

B

$$\omega \lambda ,\,\frac{{\Delta \omega {\lambda ^2}}}{{\Delta \lambda }}$$

C

$$\frac{{\omega \Delta \lambda }}{{2\pi }},\,\frac{{\Delta \omega \Delta \lambda }}{{2\pi }}$$

D

$$\omega \Delta \lambda ,\,\omega \Delta \lambda $$

Two boysM and N start from the same point. M walks 5 km south, then turns to his left and walks 6 km, then turns to his right and walks 5 km, and then again turns to his right and walks 6 km. At the same time, N walks 5 km north, then turns to his left and walks 6 km, then turns to his left and walks 10 km, and then again turns to his left and walks 3 km and then turns to his right and walks 5 km.What is the position of N with respect to M?

A

6 km to the west

B

3 km to the west

C

8 km to the east

D

4 km to the south

E

10 km to the north

Garima starts walking towards the south from point R. He walks for 5m to reach Point S then turns right and walks for 2m to reach point T from there he turns left and walks for 3m to reach Point Z. He then turns right from point Z and walks for 6m to reach point Y and then turns right and walks for 3m to reach point X. He then turns right from point X and walks for 4m to reach point W and then turns left and walks for 5m to reach point V and then turns left and walks for 4m till point U and stops. What is the shortest distance between point V and point R?

A

4m

B

3m

C

5m

D

8m

Two girls A and B start walking from the same point. A walks 3 km east, then turns to his right and walks 3 km, then turns to his left and walks 5 km, and then again turns to his left and walks 10 km. At the same time, B walks 3 km west, then turns to his left and walks 3 km, then turns to his right and walks 5 km, and then again turns to his right and walks 10 km. What is the position of B with respect to A now?

A

16 km to the west

B

12 km to the north

C

16 km to the east

D

18 km to the south

E

10 km to the west

From point P, Vikas walks towards the west for 2m, he then turns left and walks for 3m and then turns left and walks for 5m. He then turns left and walks for 4m and then turns left and walks for 2m. He then turns right and walks for 2m and then turns right and walks for 3m till point Q. What is the shortest distance between point P and point Q?

A

4m

B

5m

C

6m

D

8m

The magnitude of absolute angular velocity of link 2 is 10 rad/s while that of link 3 is 6 rad/s, what is the angular velocity of link 3 relative to link 2?

A

6 rad/s

B

16 rad/s

C

4 rad/s

D

14 rad/s

Which two of the following are true regarding the distance-vector and link-state routing protocols?
1. Link state sends its complete routing table out all active interfaces on periodic time intervals.
2. Distance vector sends its complete routing table out all active interfaces on periodic time intervals.
3. Link state sends updates containing the state of its own links to all routers in the internetwork.
4. Distance vector sends updates containing the state of its own links to all routers in the internetwork.

A

1 only

B

3 only

C

2 and 3 only

D

None of the above

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