# exam02_sol_f05 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Fall Term 2005 Exam 2: Solutions Problem 1: (10 points) (a) A simple pendulum consists of a rod of negligible mass pivoted at one end. The rod has length l . A bob of mass m is placed at the end of the rod. Assume that the bob is a point-like object. The bob is initially displaced to an angle θ 0 = π /12 and then released from rest. The bob takes a time T 0 to return to its initial position. If the bob is displaced by an angle 2 0 , will the time interval it takes to return to its initial position be i) less than T 0 , ii) equal to T 0 , iii) greater than T 0 but not equal to 2 T 0 , iv) equal to 2 T 0 ? Circle your choice for the answer and explain your reasoning (calculations are not required). Note: Two points were awarded for answer (ii) with explanation.

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3 (b) Two pendula each consist of a rod of negligible mass pivoted at one end. The rods have length l . One pendulum has a point–like bob of mass m attached at one end. The other has a disk of mass m and radius R = l /4 , fixed and centered at the end of the rod. Both pendula are displaced by an initial angle θ 0 , and released from rest. Which pendulum will reach the bottom of the swing first? Explain your reasoning.

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5 Problem 2: (15 points) The figure below shows an experimental setup to study the collision between two carts. In the experiment, cart A rolls down the level track, away from the motion sensor at the left end of the track. Cart A collides several times with cart B. The graph below shows the distance between the motion sensor and cart A as function of time. a) Are the collisions between the carts elastic or completely inelastic (for full credit, you should explain how you can tell)?

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## This note was uploaded on 10/15/2011 for the course PHYSICS 0207239 taught by Professor Mamar during the Spring '09 term at Jordan University of Science & Tech.

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exam02_sol_f05 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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