Quiz 2 & Solutions - NAME Physics 116 Quiz#2 IA John...

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NAME: _ Physics 116 Quiz #2 IA: John Read .30 points You have 30 minutes to complete the following problems Please write clearly and explain your reasoning. You may define new quantities, but your answers should be in terms of given quantities only. You must show your work to receive full credit Problem 1 [10 points] An elevator is accelerating upwards at a. A mass M is suspended from the elevator ceiling by a rope of mass m and total length 1. Find the tension in the rope as a function of height I(y). a m L - :dm .- -- M Elevator (a) Draw clearly labeled free body diagrams for the massM and for a small amount of rope mass dm M dm
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, . , . . ~ - " " . '-.' . . , . - . ,' "'" - , . -. (b) what is the tension at position Yl? The tension at position Y2? (c) What is the tension in the rope as a function of height? '. ICY) ; __ . _ , .. . .
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Problem 2 [10 points] A system oftluee blocks with masses M, mi, and m2 is being pushed to the right across a frictionless surface. Masses m, and m2 are held together with a rope of length L All the surfaces of the blocks are frictionless and the massless pulley is also frictionless.
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