Homework 5 - 4 - PHY 317K HOMEWORK # 6 DUE on November 12,...

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PHY 317K HOMEWORK # 6 DUE on November 12, 2008 by 8:00pm Instructions: Use a UT ANSWER SHEET to mark answers. Provide your NAME (last, first), UTEID , and UNIQUE NUMBER of the course. Sign and date it. The answer sheets must be placed in the 317K box located outside PAI 2.48. Late homework will not be graded . Answer the following 52 questions. 1. In simple harmonic motion, the restoring force must be proportional to the: A) amplitude B) frequency C) velocity D) displacement E) displacement squared 2. A particle is in simple harmonic motion with period T. At time t = 0, it is at the equilibrium point. At which of the following times is it the largest distance from the equilibrium point? A) 0.5 T B) 0.7 T C) T D) 1.4 T E) 1.5 T 3. A particle moves back and forth along the x axis from x = – x m to x = + x m , in simple harmonic motion with period T. At time t = 0, it is at x = + x m . When t = 1.75 T : A) it is at x = 0 and is traveling toward x = + x m B) it is at x = 0 and is traveling toward x = – x m C) it is at x = + x m and is at rest D) it is between x = 0 and x = + x m and is traveling toward x = – x m E) it is between x = 0 and x = – x m and is traveling toward x = – x m 4. A particle moves back and forth along the x axis from x = – x m to x = + x m , in simple harmonic motion with period T. At time t = 0, it is at x = + x m . When t = 1.5 T : A) it is at x = 0 and is traveling toward x = + x m B) it is at x = 0 and is traveling toward x = – x m C) it is at x = – x m and is at rest D) it is at x = + x m and is at rest E) none of these Page 1
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5. An object attached to one end of a spring makes 80 oscillations in 5.0 s. Its frequency is: A) 1.6 Hz B) 0.16 Hz C) 0.063 Hz D) 8 s E) none of these 6. An object attached to one end of a spring makes 50 oscillations in 10.0 seconds. Its angular frequency is: A) 31.4 rad/s B) 6.28 rad/s C) 0.157 rad/s D) 50 π rad/s E) none of these 7. A block attached to a spring oscillates in simple harmonic motion along the x axis. The limits of its motion are x = –10 cm and x = 50 cm and it goes from one of these extremes to the other in 0.20 s. Its amplitude and frequency are: A) 40 cm, 2.5 Hz B) 30 cm, 16 Hz C) 60 cm, 2.5 Hz D) 30 cm, 2.5 Hz E) none of these 8. A weight suspended from an ideal spring oscillates up and down with a period T . If the amplitude of the oscillation is doubled, the period will be: A) T B) 1.5 T C) 2 T D) T /2 E) 4 T 9. The displacement of a mass oscillating on a spring is given by x ( t ) = x m cos( ω t + φ ). If the initial displacement (i.e., at t = 0) is zero and the initial velocity is in the negative x direction, then the phase constant is: A) 0 B) π /2 radians C) π radians D) 3 π /2 radians E) 2 π radians Page 2
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10. A particular spring, which hangs vertically, elongates 4.9 cm when a block of mass M is attached to the end of the spring. The natural angular frequency of this mass-spring system: A) is 0.88 rad/s B) is 33 rad/s C) is 20 rad/s D) is 14 rad/s E) cannot be computed unless the value of M is given 11. An object of mass m,
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Homework 5 - 4 - PHY 317K HOMEWORK # 6 DUE on November 12,...

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