A mass m slides down a frictionless ramp and approaches a frictionless loop with radius R....

A mass m slides down a frictionless ramp and approaches a frictionless loop with radius R. There is a section of the track (between the ramp and the loop) with length 2R that has a kinetic friction coefficient of 0.5. From what height h must the mass be released to stay on the track? No figure.

1.5R 2.5R 3.5R 4.5R or 5.5R

Expert Solution

We will study this motion into three parts:

First the friction-less ramp, the track of length 2R and friction-less loop of radius R.

We consider the problem on the basis of law of Energy conservation. As the ramp is friction-less the energy will remain mgh and friction will reduce it's energy.

h=3.5R

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genius_generous answered 1 year ago

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