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Get Full Access to University Physics - 13 Edition - Chapter 10 - Problem 71p
Get Full Access to University Physics - 13 Edition - Chapter 10 - Problem 71p

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# Two metal disks, one with radius R1 = 2.50 cm and mass M1 ISBN: 9780321675460 31

## Solution for problem 71P Chapter 10

University Physics | 13th Edition

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Problem 71P

Two metal disks, one with radius R1 = 2.50 cm and mass M1 = 0.80 kg and the other with radius R2 = 5.00 cm and mass M2 = 1.60 kg, are welded together and mounted on a frictionless axis through their common center, as in 9.77. (a) A light string is wrapped around the edge of the smaller disk, and a 1.50-kg block is suspended from the free end of the string. What is the magnitude of the downward acceleration of the block after it is released? (b) Repeat the calculation of part (a), this time with the string wrapped around the edge of the larger disk. In which case is the acceleration of the block greater? Does your answer make sense? 9.77 Two metal disks, one with radius R1 = 2.50 cm and mass M1 = 0.80 kg and the other with radius R2 = 5.00 cm and mass M2 = 1.60 kg, are welded together and mounted on a frictionless axis through their common center (?Fig. P9.77?). (a) What is the total moment of inertia of the two disks? (b) A light string is wrapped around the edge of the smaller disk, and a 1.50-kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.00 m above the floor, what is its speed just before it strikes the floor? (c) Repeat part (b), this time with the string wrapped around the edge of the larger disk. In which case is the final speed of the block greater? Explain.

Step-by-Step Solution:
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STRING THEORY ● each string has its own vibration depending on the amount of tension impacted upon it ● some strings vibrate faster than others ● different shapes and sizes ● there are a few, tiny, curled up dimensions at every small point in space-time ● open-looped strings ● attached to membranes that make up all matter and all forces ● only differences between each dimension is their shape ● our universe could coexist among multiple, parallel universes ● a graviton = closed-looped string which transmits gravity at the quantum level ● closed-looped strings = not attached to membranes, allowing them freedom to move in and out of other dimensions ● membranes can run parallel to each other ● with enough energy, strings co

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