Three blocks A, B, and C with a given mass ma, mb, and mc respectively, are positioned as shown above. Blocks B and C are accelerated to the left along the frictionless surface. The pulley
is ideal as is the string between Blocks A and B. A massive rope of mass m, connects Blocks B
and C. Assume that the rope sits flush on the frictionless surface so that there is no component of
the tension in the vertical direction.
Part (a): Rank the four tension forces from largest to smallest. Explain how you determined
this. Hint: this is a conceptual question. No algebra or calculations required. Important hint: any
solution that includes either of the words "system" or "motion” is probably not correct. You want
to invoke a Law of Physics here.
Part (b): Determine the magnitude of the acceleration a of Block A. Explain your work. Give
your answer in terms of the given parameters. Hint: you will simplify your calculation if you
consider these three items: Blocks B. Block C and the massive rope, altogether, as one "system”.
Part (c): Assume that the massive rope has length L. Determine the tension in the massive rope
as a function of horizontal position : along the rope measured relative to the right edge of Block
B. Give your answer in terms of the given parameters. Explain your work.