Answer

Verified

87k+ views

**Hint:**In this question the rod of length is sliding horizontally on the frictional surface. The velocity of one end that is A is given. We need to find the velocity of the other end that is B in which angle is given. First find the angle of A and then find the velocity.

**Complete step by step answer:**

The rod is sliding on a horizontal frictionless surface then the gravity will be in downward and uniform. The force of friction is exerted by the object and the inclined plane is each other which is parallel to the surface of the plane but the normal force is perpendicular to the plane.

At the position A the angle is ${60^0}$then it becomes, ${V_A}\cos {60^0}$

At position B the angle is ${30^0}$, then we need to find the velocity at the end B

So,

$ \Rightarrow $ \[{V_A}\cos {60^0} = {V_B}\cos {30^0}\]…………(1)

The value of ${V_A}$ is $4$$m/s$

Substitute ${V_A}$ in the equation (1)

Then we get,

$ \Rightarrow $ $4 \times \cos {60^0} = {V_B} \times \cos {30^0}$

The value of $\cos {60^0} = \dfrac{1}{2}$ ,

And the value of $\cos {30^0} = \dfrac{{\sqrt 3 }}{2}$

If we substitute the value we get,

$ \Rightarrow $ $4 \times \dfrac{1}{2} = {V_B} \times \dfrac{{\sqrt 3 }}{2}$

$ \Rightarrow $ $2 = {V_B} \times \dfrac{{\sqrt 3 }}{2}$

$ \Rightarrow $ ${V_B} = 2 \times \dfrac{2}{{\sqrt 3 }}$

$ \therefore $ ${V_B} = \dfrac{4}{{\sqrt 3 }}$

The velocity of end B is $\dfrac{4}{{\sqrt 3 }}$$m/s$

**So therefore option (D) is correct.**

**Note:**If you put a grease into the kitchen sink, the grease all sticks inside the pipe and if you put the food particle it will stick into the grease and water backs up behind the blockage so all the pipes are in a frictionless coating.

Recently Updated Pages

Name the scale on which the destructive energy of an class 11 physics JEE_Main

Write an article on the need and importance of sports class 10 english JEE_Main

Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main

Choose the one which best expresses the meaning of class 9 english JEE_Main

What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main

A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main

Other Pages

A pilot in a plane wants to go 500km towards the north class 11 physics JEE_Main

A passenger in an aeroplane shall A Never see a rainbow class 12 physics JEE_Main

A circular hole of radius dfracR4 is made in a thin class 11 physics JEE_Main

The potential energy of a certain spring when stretched class 11 physics JEE_Main

The ratio of speed of sound in Hydrogen to that in class 11 physics JEE_MAIN

A roller of mass 300kg and of radius 50cm lying on class 12 physics JEE_Main