Ch4 HW5 - Ch4 HW5

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Ch4 HW5 (Homework) BRANDON JARROTT FELDKAMP PHYS 2211, section M, Fall 2008 Instructor: Jennifer Curtis Web Assign Current Score: 14.5 out of 16 Due: Friday, September 26, 2008 09:00 AM EDT Description Speed of sound in a solid; analytical spring-mass motion Instructions Reading: Sec. 4.14-4.16 The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [MI2e 4.X.25a] 2.5/3 points A ball whose mass is 1.5 kg is suspended from a spring whose stiffness is 3.5 N/m. The ball oscillates up and down with an amplitude of 12 cm. (a) What is the angular frequency? = 1.53 1.53 radians/s (b) What is the frequency? f = .243 0.243 hertz (cycles per second) (c) What is the period? T = 1/.243 4.11 s (d) Suppose you make it oscillate with an amplitude of 24 cm. Now what is the period? new T = 1/.243 4.11 s (e) Suppose this apparatus were taken to the Moon, where the strength of the gravitational field is only 1/6 of that on Earth. What would the period be on the Moon? (Consider carefully how the period depends on properties of the system; look at the equation.) T = .686 4.11 s Solution or Explanation = ( k s /m ) 1/2 T = 2 / f = 1/ T = /(2 ) The formula for the period does not contain g , so the period is not affected by gravity. Ch4 HW5 http://www.webassign.net/v4cgibfeldkamp3@gatech/student.pl?c=2008. .. 1 of 4 11/18/2008 6:21 PM
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2. [MI2e 4.X.28a] 4/4 points Harmonic oscillators such as spring-mass systems are the basis for accurate clocks. Let's see why. Suppose you start a vertical spring-mass system from rest with amplitude 10 cm, and it oscillates with a period of 2 seconds. Next you start this oscillator from rest with an amplitude of half the original amplitude (new amplitude = 5 cm). What happens? The distance it goes from top to bottom (a half cycle)
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Ch4 HW5 - Ch4 HW5

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