Question

3- Two blocks with masses M, and M2 hang one under the other. For this problem, take the positive direction to be upward, and use g for the magnitude of the acceleration due to gravity. or Parts A and B assume the blocks are at rest. T: M T: M a- Find T2, the tension in the lower rope. Express your answer in terms of some or all of the variables M1, M2, and g. (6 pts) b- Find T., the tension in the upper rope. Express your answer in terms of some or all of the variables M1, M2, and g. (6 pts) c- For Parts C and D the blocks are now accelerating upward (due to the tension in the strings) with acceleration of magnitude a. Find T2, the tension in the lower rope. Express your answer in terms of some or all of the variables M1, M2, and g. (7 pts) d- Find T1, the tension in the upper rope. Express your answer in terms of some or all of the variables M1, M2, and g. (6 pts)

Answer 1

For finding Tension in lower rope we will write Newtons 2nd law for lower block and for finding tension in upper rope we will write Newtons 2nd law for combined masses.

Answer 2

(a) Tz = mag (b) Ti= mig+ Tz T m, g+ m₂ g T,= (m, + m2) g Tz - mag=m, a Tz = m₂Cgra) (d) mqa Ti - T-mag m₂ cgra) + m, cgra) T,= (mitm, 2 cg+a) T,