Homework #2 Solution

Homework #2 Solution - þ7########,###############-

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Unformatted text preview: þ7########,###############- ##Cd#######Ì#######L#####################7#####7##6#####6#####6#####6## ##7#####7#####7#####7#####7.####7D####7D#P##7¡#x##6.#Ö##8 # ##8,####:±#*##:Û#G##6#########:±####8D#m##:±####:±####C"#B##:±####:±####: ±####:±####:±####:±#####1. The diagram at right shows a modified AtwoodÕs machine composed of a massless frictionless pulley, three blocks, and two massless strings. Blocks B and C have mass m0. Block A has mass 2m0. Assume the strings do not stretch and that there is no friction between the table and blocks A and B.A. Before Block A is released, how does the tension in String #1 compare to the tension in #String #2? Explain your reasoning.Block B is at rest on a frictionless surface. Therefore, the sum of the forces exerted on it by the strings must be zero. Therefore, String 1 and String 2 have the same tension.B. Block A is now released. i. Is the magnitude of the acceleration of Block A greater than, equal to, or less than the magnitude of the acceleration of Block C? Explain your reasoning.Since the strings do not stretch, the blocks all have the same displacement during each time interval. Thus their velocities and accelerations are the same. ii. After Block A is released, is the tension in String #2 greater than, equal to, or less than what it was before? Explain. Before Block A was released, Block C was at rest. The net force on Block C is zero, so the tension in String 2 is equal to the weight of Block C. After Block A is released, Block C accelerates downward. Now, the net force on Block C is be downward, therefore the tension in String 2 is less than the weight The tension is less than before. iii. After Block A is released, is the tension in String #1 greater than, equal to, or less than what it was before? Explain. Before Block A was released, Block B was at rest on a frictionless surface. Therefore the sum of the forces on it by the strings is equal to zero. The tension in String 1 is equal to the tension in String 2 which is equal to the weight of Block C. After Block A is released, Block B accelerates to the right, therefore the net force on it is to the right and the tension in String 1 is less than the tension in String 2. The tension in String 2 is less than the weight of Block C, so the tension in String 1 is now less than the weight of C. The tension in String 1 is less than before. #2. The diagram at right shows an AtwoodÕs machine composed of a massless frictionless pulley, three identical blocks each of mass m0, and two massless strings. Assume that the blocks are released from rest and that the strings do not stretch.A. i. Is the magnitude of the force exerted by String #2 on Block B greater than, equal to or less than the force exerted by String #2 on Block C? Explain your reasoning. ii. Is the tension in String #2 greater than, equal to, or less than the tension in String #1? Explain your reasoning....
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This document was uploaded on 10/29/2011 for the course PHSX 301 at MSU Bozeman.

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Homework #2 Solution - þ7########,###############-

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