Don’t need the FBD Part A: H=5/2R Part B: N=6mg Need part c!!! 3. (15 points) Us

Question

Don’t need the FBD Part A: H=5/2R Part B: N=6mg
Need part c!!! 3. (15 points) Using Work& Energy: A small block slides without friction down a ramp and around a loop of radius R. a. Find the minimum height H above the lowest point that you can release the block from rest and still have the block travel all the way around the loop. Express your answer in terms of R Draw the FBD for the block at the top of the loop. Write the condition relating the net force at the top to the centripetal force required. From this, determine the minimum velocity at the top and the minimum kinetic energy at the top. From that, calculate the minimum H b. The block has a mass of m. If the block starts from rest at the H you found in part a, find the push by the track the FIRST time the block is at the lowest point of the loop (i.e. when the block is about to head up the loop). Express your answer in terms of m. Draw the FBD for the block at the bottom of the loop. Write the condition relatin the net force at the bottom to the centripetal force required. Determine the velocity at the bottom and thus the normal force of the track on the block

Explanation / Answer

C)

The push by the track at any position of the track depends on the speed of the block at that position. The speed at any position remains same after any number of loops traversed by the block because no frictional force is present and total energy is conserved. If the normal force on the block at the bottm during the first round is N = 6 mg, it will be same after the completion of the first loop.

So, the answer for the part c is also

N = 6 mg.

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