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Unformatted text preview: valdez (vv689) Homework 16 florin (58140) 1 This printout should have 11 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points When a body executes simple harmonic mo tion, its period is 1. the reciprocal of its speed. 2. proportional to its amplitude. 3. inversely proportional to its accelera tion. 4. proportional to its acceleration. 5. independent of its amplitude. correct Explanation: The period of simple harmonic motion is the same regardless of the amplitude. 002 10.0 points A particle oscillates up and down in simple harmonic motion. Its height y as a function of time t is shown in the diagram. 1 2 3 4 5 5 5 y (cm) t (s) At what time t in the period shown does the particle achieve its maximum positive ac celeration? 1. None of these; the acceleration is con stant. 2. t = 3 s 3. t = 1 s correct 4. t = 2 s 5. t = 4 s Explanation: This oscillation is described by y ( t ) = sin parenleftbigg t 2 parenrightbigg , v ( t ) = dy dt = 2 cos parenleftbigg t 2 parenrightbigg a ( t ) = d 2 y dt 2 = parenleftBig 2 parenrightBig 2 sin parenleftbigg t 2 parenrightbigg . The maximum acceleration will occur when sin parenleftbigg t 2 parenrightbigg = 1, or at t = 1 s . From a noncalculus perspective, the veloc ity is negative just before t = 1 s since the particle is slowing down. At t = 1 s, the par ticle is momentarily at rest and v = 0. Just after t = 1 s , the velocity is positive since the particle is speeding up. Remember that a = v t , acceleration is a positive maximum because the velocity is changing from a nega tive to a positive value. 003 10.0 points Simple harmonic motion can be described us ing the equation x = x m sin( t + ) . If x = initial position, v = initial velocity, then 1. tan = + x v correct 2. tan = x v 3. tan = + v x 4. tan = v x Explanation: x = x m sin( t + ) v = dx dt = x m cos( t + ) When t = 0, x = x m sin valdez (vv689) Homework 16 florin (58140) 2 v = x m cos x m sin x m cos = x...
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This note was uploaded on 09/26/2010 for the course PHY 58230 taught by Professor Svhets during the Spring '10 term at University of Texas at Austin.
 Spring '10
 SVHETS

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