Home
Class 11
PHYSICS
A ball of mass m=200gm is suspended from...

A ball of mass `m=200gm` is suspended from a point `A` by an inextensible string of length `L`. Ball is drawn to a side and held at same level as `A` but at a distance `(sqrt(3))/(2)L` from `A` as shown. Now the ball is released. Then `: (` assume string applies only that much jerk which is required so that velocity along string becomes zero `) `.

A

speed of ball just before experiencing jerk is `sqrt(gL)`

B

speed of ball just after experiencing jerk is `(sqrt(3gL))/(2)`

C

Impulse applied by string `(sqrt(gL))/(10)`

D

ball will experience jerk after reaching to point `B`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
By conservation of energy
`(1)/(2) mv^(2)=mg``(L)/(2)`
`v=sqrt(gL)`
After jerk `v sin theta` becomes zero
Impulse applied by string `=mv sin theta`

`=0.2sqrt(gL)(1)/(2)=(sqrt(gL))/(10)`
velocity of ball after jerk
`v cos theta = sqrt(gL)``(sqrt(3))/(2)=(sqrt(3gL))/(2)`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise DPP 55|8 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 56|7 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 53|5 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of length 3L and mass m is suspended from a horizontal roof by two strings of length L and 2L as shown. Then the tension in the left string of length L is :

A ball of mass 0.01 kg is suspended from a fixed point O by means of a light and inextensible string of length 10m. The ball is first taken aside such that string becomes horizontal and then released from reast. At the lowermost point of its path, it hits a stationary small block of mass 1.205kg lying on a rough horizontal surface. After striking the block, the ball rebounds and comes to rest when the string makes an angle of 30^@) with the horizontal . Due to the impact the block moves through a distance of 0.5m on the horizontal surface. Find the coefficient of friction between the block and the surface.

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

A string of length L and mass M hangs freely from a fixed point. Then the velocity of transverse waves along the string at a distance x from the free end is

A particle of mass m is suspended from a fixed point O by a string length l.At t=0, it is displaced from its equilibrium position and released.If T is the tension in the string with time t, then the correct graph is

A small ball is suspended from a fixed point 'O' by means of a light and inextensible string of length 'l'. The ball is first taken aside such that string becomes horizontal and then released from rest. At the borrom it collides with a fixed obstacle. The co-efficient of restitution is 'e'. Find the maximum angular deflection of the string after n^(th) collision.