oldmidterm 4 02 - portillo (gdp347) oldmidterm4 02 Turner...

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portillo (gdp347) – oldmidterm4 02 – Turner – (58185) 1 This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points The oscillation oF a mass-spring system x = x m cos( ω t + φ ) , where x m is a positive number. At time t = 0, the mass is at the equilibrium point x = 0 and it is moving with positive velocity v 0 . What is the phase angle φ ? 1. φ = 7 4 π 2. φ = 2 π 3. φ = 0 4. φ = 1 4 π 5. φ = 5 4 π 6. φ = π 7. φ = 3 2 π 8. φ = 3 4 π 9. φ = 1 2 π 002 10.0 points A solid cylinder oF mass 1 . 8 kg and radius 20 cm is yoked to a spring as shown in the fgure below. To be precise, the axle oF the cylinder is attached to a horizontal spring oF Force constant 1899 N / m. The cylinder rolls back and Forth on a horizontal base with- out slipping. ±or simplicity, assume that the spring, the axle and the yoke which connects them have negligible masses compared to the cylinder itselF. 1899 N / m 1 . 8 kg What is the angular Frequency oF the cylin- der rolling back and Forth around the equlib- rium position? Answer in units oF s 1 . 003 10.0 points A particle oscillates harmonically x = A sin( ωt + φ 0 ) , with amplitude 5 m, angular Frequency π s 1 , and initial phase π 3 radians. Every now and then, the particle’s kinetic energy and poten- tial energy happen to be equal to each other ( K = U ). When does this equality happen For the frst time aFter t = 0? 1. 0.4167 s 2. 0.2238 s 3. 0.5267 s 4. 0.9967 s 5. 0.3467 s 6. 0.5884 s 7. 0.7615 s 8. 0.6547 s 9. 0.1294 s 10. 0.8623 s 004 10.0 points Longitudinal sound waves cannot propagate through 1. steam 2. gases
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portillo (gdp347) – oldmidterm4 02 – Turner – (58185) 2 3. solids 4. a vacuum 5. liquids 6. wet sand 005 10.0 points At t = 0, a transverse wave pulse in a wire is described by the function y = 5 e x 2 / 2 , where x and t are given in SI units. Which function describes this wave if it is traveling in the negative x direction with a speed of 4 . 5 m / s? 1. y = 5 e x 2 / 2 + 4 . 5 t 2. y = 5 e ( x 4 . 5 t ) 2 / 2 3. y = 5 e x 2 / 2 4 . 5 t 4. y = 5 e ( x 2 4 . 5 t ) / 2 5. y = 5 e ( x +4 . 5 t ) 2 / 2 6. y = 5 e ( x 2 +4 . 5 t ) / 2 7. y = 5 e x 2 / 2 006 10.0 points A harmonic wave y = A sin[ k x ω t φ ] , where A = 1 m, k has units of m 1 , ω has units of s 1 , and φ has units of radians, is plotted in the diagram below. +1 1 A (meters) t (seconds) 10 20 30 At the position x = 0 Which wave function corresponds best to the diagram? 1. y = A sin b k x p 2 π 15 s P t p 2 π 3 PB 2. y = A sin b k x p 2 π 3 s P t p 4 π 3 PB 3. y = A sin b k x p 2 π 9 s P t p 1 π 3 PB 4. y = A sin b k x p 2 π 3 s P t p 1 π 3 PB 5. y = A sin b k x p 2 π 3 s P t p 2 π 3 PB 6. y = A sin b k x p 2 π 15 s P t p 4 π 3 PB 7. y = A sin b k x p 2 π 15 s P t p 1
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oldmidterm 4 02 - portillo (gdp347) oldmidterm4 02 Turner...

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