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A body slides down on a frictionless tra...

A body slides down on a frictionless track which ends in a circular loop of diameter D. The minimum height h in terms of D so that the body may just complete the circular loop, is

A

`h= 5D/2`

B

`h = 5D/4`

C

`h = 3D/4`

D

`h = D/4`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • A body is allowed to slide down a frictionless track from rest position at its top under gravity. The track ends in a circular loop of diameter D . Then, the minimum height of the inclined track (in terms of D ) so that it may complete successfully the loop is

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    `7D//4`
    B
    `9D//4`
    C
    `5D//4`
    D
    `3D//4`

  • A body is allowed to slide down a frictionless inclined track under gravity from a height of 10 cm . The track ends in a circular loop of diameter D. The body is just able to complete the circular track , then the diameter of the track will be

    A
    `4cm`
    B
    `8 cm`
    C
    `6 cm`
    D
    `2 cm`

  • A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from point A which is at height h = 5cm. Maximum value of R for a body to complete the loop successfully is

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