1You need solution or answer??
answer, i remember, is √2mg/k or √3mg/k
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.
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5 Answers
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1this is a sitter kind of a problem
we just have to conserve energy
answer looks to be something like √3mgr/k
1ANSWER IS√2mgr/K. USE CONSERVATION OF ENERGY PRINCIPLE, NOT A VERY TOUGH PROBLEM
1Minimum 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)
