Home
Class 11
PHYSICS
A particle is attached with a string of ...

A particle is attached with a string of length `l` which is fixed at point `O` on an inclined plane what minimum velocity should be given to the particle along the incline so that it may complete a circle on inclined plane `(` plane is smooth and initially particle was resting on the inclined plane . `)`

A

`sqrt(5gl)`

B

`sqrt((5gl)/(2))`

C

`sqrt((5sqrt(3gl))/(2))`

D

`sqrt(4gl)`

Text Solution

Verified by Experts

The correct Answer is:
B
The side view of circular motion is as shown `:`

`T+mg sin theta = ( mv^(2))/(R)`
and by energy conservation `:`
`(1)/(2)mv_(i)^(2)=(1)/(2)mv^(2)+mg2R ( sin theta )`
for `v_(i)` to be minimum, `v` is minimum and hence `T=0`
`rArr v_(i)^(2)=5gR, sin theta`
`rArr v_(i)")"_(min)=sqrt((5gl)/(2)) Ans. `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 52|7 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 53|5 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise DPP 50|5 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise|53 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE ENGLISH|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

A particle is projected on an inclined plane with a speed u as shown in (Fig. 5.61). Find the range of the particle on the inclined plane. .

A Sphere pure rolls on a rough inclined plane with initial velocity 2.8 m/s. Find the maximum distance on the inclined plane

A particle of mass m attached to a string of length l is descending circular motion on a smooth plane inclined at an angle alpha with the horizontal. For the particle to reach the highest point its velocity at the lowest point should exceed.

A projectile is fired with a velocity v at right angle to the slope inclined at an angle theta with the horizontal. The range of the projectile along the inclined plane is

A block is kept on an inclined plane of inclination theta of length l. the velocity of particle at the bottom of inclined is (the coefficient of friciton is mu )

A block is kept on a inclined plane of inclination theta of length l. The velocity of particle at the bottom of inclined is (the coefficient of friction is mu

A body is placed on a smooth inclined plane of inclination 1 in x. The horizontal acceleration to be given to the inclined plane so that the body on it remains at rest with respect to inclined plane is

A particle is projected with a certain velocity at an angle alpha above the horizontal from the foot of an inclined plane of inclination 30^(@) . If the particle strikes the plane normally then alpha is equal to

At what angle should a ball be projected up an inclined plane with a velocity v_0 so that it may hit the incline normally. The angle of the inclined plane with the horizontal is prop . .

For a given velocity of projection from a point on the inclined plane, the maximum range down the plane is three times the maximum range up the incline. Then find the angle of inclination of the inclined plane.

Home
Profile