I know this is long, a thumbs up will be given for a solid answer! :) A block of
ID: 1460745 • Letter: I
Question
I know this is long, a thumbs up will be given for a solid answer! :)
A block of mass m is connected to a string of negligible mass and slides on a slick surface in a circular path of radius 0.5 meters. The other end of the string passes through a hole in the surface and is connected to an identical block of mass m beneath the surface. All friction may be neglected in this problem and the string's mass and stretch are negligible.
A) Draw a free body diagram for each blakc and the string.
B) Write the Newtons second law expressions for each blakc and the string with the appropriate sum of physical forces and expressions for Fnet.
C) Calculate the gritical speed for the block in circular motion at which the hanging mass remains at rest.
D) The hanging mass is replaced by a block with three times the mass and a third blck of mass m/2 is placed on top of the blakc moving in a circle. What is the minimum friction force between the bloack so that the new bloack remains on top of the moving block.
E) The top block is removed so that the one block of mass m is in circlar motion with mas 3m pulling on the other end of the string. As the mass of 3m falls, pulling the string, the mass in circular motion speeds up in a way that the product of the radius and tangetnial speed remains contstant from C) Find the radus and speed at which the hanging mass reaches equilibrium.
Explanation / Answer
Please see the solution at the link given. There is some problem in uploading the solution.
https://drive.google.com/folderview?id=0B4Qk5kMaN-QeUFZWNHZfbXRGV1U&usp=sharing