Home
Class 11
PHYSICS
A uniform chain of length 2L is hanging ...

A uniform chain of length 2L is hanging in equilibrium position, if end `B` is given a slightly downward displacement the imbalance causes an acceleration. Here pullley is small and smooth & string is inextensible

The velocity `v` of the string when it slips out of the pulley (height of pulley from floor`gt2L`)

A

`sqrt((gL)/(2))`

B

`sqrt(2gL)`

C

`sqrt(gL)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`v(dv)/(dx)=(x)/(L)g" "rArrint_(0)^(v)"v dv"=(g)/(L)int_(0)^(L)"x dx"rArrvsqrt(gL)`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-2 [REASONING TYPE]|10 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-2 [MULTIPLE CORRECT CHOICE TYPE]|10 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-1 [SINGLE CORRECT CHOICE TYPE]|23 Videos

  • GRAVITATION

    BANSAL|Exercise EXERCISE -4 Section - B|6 Videos

Similar Questions

Explore conceptually related problems

A uniform chain of length 2L is hanging in equilibrium position, if end B is given a slightly downward displacement the imbalance causes an acceleration. Here pullley is small and smooth & string is inextensible The acceleration of end B when it has been displaced by distance x , is

A uniform chain of length 2L is hanging in equilibrium position, if end B is given a slightly downward displacement the imbalance causes an acceleration. Here pulley is small and smooth & string is inextensible The acceleration of end B when it has been displaced by distance x, is

A uniform flexible chain of mass m and length 2l hangs in equilibrium over a smooth horizontal pin of negligible diameter. One end of the chain is given a small vertical displacement so that the chain slips over the pin. The speed of chain when it leaves the pin is

A uniform flexible chain of mass m and length l hangs in equilibrium over a smooth horizontal pin of neglible diameter. One end of the chain is given a small verticle displacement so that the chain slips over the pin. The speed of chain when it leaves pin is

In the figure shown all pulleys are ideal and small. The central pulleys is 2 m away from both ends. What is the length (in m) of the string ? The system is in equilibrium

A chain (AB) of length l loaded in a smooth horizontal table so that its fraction of length h hangs freely and toucher the surface of the table with its end B. At a certain moment ,the end A of the chain is set free. With what velocity will this end the chain slip out of the table ? .

A chain AB of length l is located in a smooth horizontal tube so that its fraction of length h hangs freely and touches the surface of the table with its end B(figure). At a certain moment the end A of the chain is set free. With what velocity will this end of the chain slip out of the tube?

One end of a string of length L is tied to the ceiling of a lift accelerating upwards with an acceleration 2. The other end o the string is freee. The linear mass density of the string varies linearly from 0 to lamda from bottom to top. The acceleration of a wave pulled through out the string is (pg)/(4) . Find p.