solution-hw21

# solution-hw21 - lai(yl8859 – HW21 – Ross –(15200 1...

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Unformatted text preview: lai (yl8859) – HW21 – Ross – (15200) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A body oscillates with simple harmonic mo- tion along the x-axis. Its displacement varies with time according to the equation x ( t ) = A sin( ω t + φ ) . If A = 7 m, ω = 3 . 313 rad / s, and φ = 1 . 0472 rad, what is the acceleration of the body at t = 3 s? Note: The argument of the sine function is in radians rather than degrees. Correct answer: 76 . 8284 m / s 2 . Explanation: Let : A = 7 m , ω = 3 . 313 rad / s , φ = 1 . 0472 rad , and t = 3 s . x = A sin( ω t + φ ) v = d x dt = ω A cos( ω t + φ ) a = d v dt =- ω 2 A sin( ω t + φ ) =- ω 2 A sin( ω t + φ ) =- (3 . 313 rad / s) 2 (7 m) × sin[(3 . 313 rad / s)(3 s) + 1 . 0472 rad] = 76 . 8284 m / s 2 . 002 10.0 points A 0 . 325 kg mass is attached to a spring and undergoes simple harmonic motion with a pe- riod of 0 . 56 s. The total energy of the system is 4 . 4 J. Find the amplitude of the motion....
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solution-hw21 - lai(yl8859 – HW21 – Ross –(15200 1...

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