(Solved): Please help with all parts i will upvote thank you! A pulley of mass mp and radius R is attache ...

Please help with all parts i will upvote thank you!

A pulley of mass $$m_p$$ and radius $$R$$ is attached to the edge of a table. A string of negligible mass is hung over the pulley and attached on one end to block 2 which hangs over the edge of the table. The other end is attached to block 1 which slides along the table. The coefficient of sliding friction between the table and block 1 is $${?}_k$$. Block 1 has mass $${\mathrm{m}}_1$$ and block 2 has mass $${\mathrm{m}}_2$$ with $${\mathrm{m}}_2>{?}_k{\mathrm{m}}_1$$. At time $$\mathrm{t}=0$$ the blocks are released from rest. A. (5 points) What are the physical arguments for making the massless string approximation? What are the physical arguments for making the massless, frictionless pulley approximation? Assuming the string is massless, and the pulley is massless and frictionless, find the magnitude and direction of the acceleration of block 1 and the tension in the string (this is a PH211 chapter 7 review problem). B. (5 points) Now, suppose we relax the massless pulley assumption. Assume the rope does not slip on the pulley. Establish an appropriate coordinate system(s) and draw a free body diagram for the two blocks. Draw an extended free-body diagram for the pulley. An extended diagram, often called a torque diagram, shows the point of application of forces and their distance from the axis of rotation. Identify any torques caused by those forces and the signs of the torques. C. (5 points) Write the force balance equation(s) of Newton's Second Law for $${\mathrm{m}}_1,{\mathrm{m}}_2$$ and the pulley. Are there any acceleration constraints for the system? If so, what are they? Is the tension the same in each segment of the rope? Why or why not? D. (5 points) Determine a symbolic expression for the acceleration of block 1. If block 2 is initially a distance $$\mathrm{d}$$ above the ground, how long will it take for block $${\mathrm{m}}_2$$ to reach the ground? E. (5 points) Assess your solution in the following ways: 1. Check the physical units of your calculations from part $$D$$ by performing an explicit unit analysis on your symbolic expression(s). 2. Verify that your answer agrees with the solution from part $$\mathrm{A}$$ if you set $${\mathrm{m}}_{\mathrm{p}}=0$$ in your symbolic solution.