WORK, ENERGY AND POWER

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Figure shows a smooth track a part of which is a circle of radius R. A block of mass m is pushed against a spring constant k fixed at the left end and is then released.Find the initial compression of the spring so that the block presses the track with a force mg when it reaches the point P, where the radius of the track is horizontal.

#Physics #Mechanics

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5 Answers

injun joe ·2009-09-04 06:55:32

You need solution or answer??
answer, i remember, is âˆš2mg/k or âˆš3mg/k

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Philip Calvert ·2009-09-04 07:03:08

this is a sitter kind of a problem
we just have to conserve energy
answer looks to be something like √3mgr/k

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Ujjwal Sinha ·2009-09-04 07:52:24

ANSWER ISâˆš2mgr/K. USE CONSERVATION OF ENERGY PRINCIPLE, NOT A VERY TOUGH PROBLEM

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Abinash Kumar Singh ·2009-10-03 11:47:46

Minimum Velocity to reach at P=√gr(because of looping of loop).then apply conservation of energy:
1/2 kx²=mgR+1/2mv²
put v=√gr and multiply by 2 on both sides.
kx²=2mgR+mgR
=3mgR
x=√(3mgR/k)