Home
Class 11
PHYSICS
A small spherical ball is suspended thro...

A small spherical ball is suspended through a string of length `l` . The whole arrangement is placed in a vehicle which is moving with velocity `v` . Now, suddenly the vehicle stops and ball starts moving along a circular path. If tension in the string at the highest point is twice the weight of the ball then (assume that the ball completes the vertical circle)

A

`v=sqrt(5gl)`

B

`v=sqrt(7gl)`

C

velocity of the ball at highest point is `sqrt(gl)`

D

velocity of the ball at highest point is `sqrt(3gl)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
`T+mg=(mu^(2))/(l)`
`:. 2mg+mg=(mu^(2))/(l)`
or `u=sqrt(3gl)`
`v^(2)=u^(2)+2gh=3gl+2g(2l)`
`=7gl`
:. `v=sqrt(7gl)`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    DC PANDEY|Exercise Level 2 Comprehension Based|5 Videos

  • CIRCULAR MOTION

    DC PANDEY|Exercise Level 2 Subjective|13 Videos

  • CIRCULAR MOTION

    DC PANDEY|Exercise Level 2 Single Correct|18 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 2 Subjective|21 Videos

  • COMMUNICATION SYSTEM

    DC PANDEY|Exercise Only One Option is Correct|27 Videos

Similar Questions

Explore conceptually related problems

A ball B is suspended from a string of length l attached to a cart A, which may roll on a frictionless surface. Initially the cart is at rest and the ball is given a horizontal velocity v_(0) . Determine the maximum height reached by the ball.

A ball B is suspended from a string of length l attached to a cart A, which may roll on a frictionless surface. Initially the cart is at rest and the ball is given a horizontal velocity v_(0) . Determine the velocity of B as it reaches the maximum height.

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. Tension in string when it is vertical, is

A ball of mass m is suspended by a thread of length l. With what minimum velocity has the point of suspension to be shifted in the horizontal direction for the ball to move along the circle about that point? What will be the tension of the thread at the moment it will be passing the horizontal position?

A ball of mass m is attached to one end of a light rod of length l , the other end of which is hinged. What minimum velocity v should be imparted to the ball downwards, so that it can complete the circle ?

A small positively charged ball of mass m is suspended by an insulating thread of length L. This ball remains in equilibrium with string horizontal when another small charged ball is placed exactly at a distance L below the point of suspension of the first ball. The second ball is slowly moved away from the first ball to a far away point. (The second ball is moved horizontally so that the first ball does not accelerate). As a result the first ball lowers down to the original position of the second ball and the string become vertical. Find the work done by the external agent in removing the second ball.

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. The displacement of centre of mass of A + B system till the string becomes vertical is

A ball of mass M is rotating in a conical pendulum by a string of length L . If radius of circular path is L/sqrt(2) , find the velocity of mass