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Unformatted text preview: Nguyen, Thanh Homework 11 Due: Oct 12 2007, 7:00 pm Inst: D Weathers 1 This printout should have 11 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points A body oscillates with simple harmonic mo tion along the xaxis. Its displacement varies with time according to the equation x ( t ) = A sin( t + ) . If A = 3 m, = 3 . 64 rad / s, and = 1 . 0472 rad, what is the acceleration of the body at t = 2 s? Note: The argument of the sine function is in radians rather than degrees. Correct answer: 35 . 3807 m / s 2 . Explanation: Let : A = 3 m , = 3 . 64 rad / s , = 1 . 0472 rad , and t = 2 s . x = A sin( t + ) v = dx dt = A cos( t + ) a = dv dt = 2 A sin( t + ) = 2 A sin( t + ) = (3 . 64 rad / s) 2 (3 m) sin[(3 . 64 rad / s)(2 s) + 1 . 0472 rad] = 35 . 3807 m / s 2 . keywords: 002 (part 1 of 1) 10 points A body oscillates with simple harmonic mo tion along the xaxis. Its displacement varies with time according to the equation A = A sin t + 3 , where = radians per second, t is in sec onds, and A = 7 . 6 m. What is the phase of the motion at t = 7 . 9 s? Correct answer: 25 . 8658 rad. Explanation: Let : t = 7 . 9 s and = . x = A sin( t + ) The phase is the angle in the argument of the sine function, and from the problem state ment we see it is = t + 3 = ( rad / s)(7 . 9 s) + 3 = 25 . 8658 rad . keywords: 003 (part 1 of 3) 10 points A block of unknown mass is attached to a spring of spring constant 2 . 7 N / m and under goes simple harmonic motion with an ampli tude of 13 . 9 cm. When the mass is halfway between its equilibrium position and the end point, its speed is measured to be 27 . 9 cm / s....
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This note was uploaded on 10/24/2011 for the course PHYS 1710 taught by Professor Weathers during the Winter '08 term at North Texas.
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