(Solved): Box A has a mass mA=10.71 kg and rests (ay=0) on a table as in Figure. A rope connects box A to box ...

Box A has a mass mA=10.71 kg and rests (ay=0) on a table as in Figure. A rope connects box A to box B of mass mB=3.57 kg by a pulley so that box B hangs above the table (again, the system remains at rest ay=0). The pulley and rope are massless, and the pulley is frictionless.

A. Draw a Free-body diagram for each box.

B. Write out Newton’s 2nd law (in the y-direction) for box A. It is recommended that you do this algebraically (i.e. just equations, no numbers) if you can, but do not let that discourage you from attempting the problem however you can for partial credit.

C. Write out Newton’s 2nd law (in the y-direction) for box B (following the same rules at Part B.).

D. Calculate the magnitude of the tension T in the rope. Hint: While it is not the only way to solve the problem, consider what is happening to box B in Part C.

E. Calculate the normal force nA on mass A