# ps07 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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10/19/2010 1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Fall Term 2010 Problem Set 7: Conservation of Momentum and Collisions Due Date: Tuesday October 19 at 9 pm. Oct 18/9 W07D1 Momentum and Impulse Reading Assignment: Young and Freedman: 8.1-8.5 Oct 20/21 W07D2 Collisions Reading Assignment: Young and Freedman: 8.1-8.5 Oct 22 W07D3 Quiz 5 Energy; Group Problem Solving: Conservation of Momentum Oct 25/26 W08D1 Continuous Mass Flow Reading Assignment: Young and Freedman: 8.6, Class Notes: Continuous Mass Flow Oct 27/28 W08D2 Rockets Reading Assignment: Young and Freedman: 8.6; Experiment 3: Impulse , Class Notes: Continuous Mass Flow Oct 29 W08D3 Quiz 6 Conservation of Momentum; Group Problem Solving: Falling Chain

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2 Problem 1 A slender uniform rod of length L and mass M rests along the y-axis on a frictionless, horizontal table. A particle of equal mass M is moving along the x-axis at a speed V 0 . At t = 0 the particle strikes the end of the rod and sticks to it. Find the position ! R cm ( t ) and velocity ! V cm ( t ) of the center of mass of the system as a function of time. Problem 2: Center of Mass of a Rod A thin non-uniform rod has length L and total mass M and the linear mass density varies with the distance x from the left end according to ! = 0 and the position of the center of mass with respect to the left end of the rod.
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## ps07 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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