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43. A mass m slides along a frictionless horizontal sur- face at speed vo. It strikes a spring of constant k at- tached to a rigid wall, as shown in Fig. 13.28. After eldo19 an elastic encounter with Vo m ww bns 16 292 FIGURE 13.28 Problem 43 the spring, the mass heads back in the direction it came from. In terms of k, m, and vo, determine (a) how long the mass is in contact with the spring and (b) the spring's maximum compression.

43. A mass m slides along a frictionless horizontal sur- face at speed vo. It strikes a spring of constant k at- tached to a rigid wall, as shown in Fig. 13.28. After eldo19 an elastic encounter with Vo m ww bns 16 292 FIGURE 13.28 Problem 43 the spring, the mass heads back in the direction it came from. In terms of k, m, and vo, determine (a) how long the mass is in contact with the spring and (b) the spring's maximum compression.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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42 The human eye and the muscles that hold it can be modeled tion, idly picks BIO as a mass-spring system with typical valuesm = 7.5 g and k = 2.5 kN/m. What's the resonant frequency of this system? Shaking your head at this frequency blurs vision, as the eyeball undergoes resonant oscillations. 43. A mass m slides along a frictionless horizontal sur- face at speed vo. It strikes a spring of constant k at- tached to a rigid wall, as www Vobo nelde FIGURE 13.28 Problem 43 Ido19 bns shown in Fig. 13.28. After an elastic encounter with the spring, the mass heads back the direction it came from. In terms of k, m, and vo, determine (a) how long the mass is in contact with the spring and (b) the spring's maximum compression. 44. Show by substitution that x(t) = A sin wt is a solution to Equation 13.3. 45. A physics student, bored by a lecture on simple harmonic mo- tion, idly picks up his pencil (maco 81i %3D
Transcribed Image Text:42 The human eye and the muscles that hold it can be modeled tion, idly picks BIO as a mass-spring system with typical valuesm = 7.5 g and k = 2.5 kN/m. What's the resonant frequency of this system? Shaking your head at this frequency blurs vision, as the eyeball undergoes resonant oscillations. 43. A mass m slides along a frictionless horizontal sur- face at speed vo. It strikes a spring of constant k at- tached to a rigid wall, as www Vobo nelde FIGURE 13.28 Problem 43 Ido19 bns shown in Fig. 13.28. After an elastic encounter with the spring, the mass heads back the direction it came from. In terms of k, m, and vo, determine (a) how long the mass is in contact with the spring and (b) the spring's maximum compression. 44. Show by substitution that x(t) = A sin wt is a solution to Equation 13.3. 45. A physics student, bored by a lecture on simple harmonic mo- tion, idly picks up his pencil (maco 81i %3D
42. The human eye and the muscles that hold it can be modeled = 7.5 g and BIO as a mass-spring system with typical values m = 7.5 9 an k = 2.5 kN/m. What's the resonant frequency of this system2 Shaking your head at this frequency blurs vision, as the eyeball undergoes resonant oscillations. 43. A mass m slides along a frictionless horizontal sur- face at speed vo. It strikes Vo a spring of constant k at- tached to a rigid wall, as shown in Fig. 13.28. After eldo19 an elastic encounter with FIGURE 13.28 Problem 43 the spring, the mass heads back in the direction it came from. In terms of k, m, and vo, determine (a) how long the mass is in contact with the spring and (b) the spring's maximum compression. 44. Show by substitution that x(t) = A sin wt is a solution to Equation 13.3. 45. A physics student, bored by a lecture on simple harmonic mo- tion, idly nigl llipeo
Transcribed Image Text:42. The human eye and the muscles that hold it can be modeled = 7.5 g and BIO as a mass-spring system with typical values m = 7.5 9 an k = 2.5 kN/m. What's the resonant frequency of this system2 Shaking your head at this frequency blurs vision, as the eyeball undergoes resonant oscillations. 43. A mass m slides along a frictionless horizontal sur- face at speed vo. It strikes Vo a spring of constant k at- tached to a rigid wall, as shown in Fig. 13.28. After eldo19 an elastic encounter with FIGURE 13.28 Problem 43 the spring, the mass heads back in the direction it came from. In terms of k, m, and vo, determine (a) how long the mass is in contact with the spring and (b) the spring's maximum compression. 44. Show by substitution that x(t) = A sin wt is a solution to Equation 13.3. 45. A physics student, bored by a lecture on simple harmonic mo- tion, idly nigl llipeo
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