please use the pictures ?. 42 The human eye and the muscles that hold it can be modeledtion, idly picksBIO as a mass-spring system with typical valuesm = 7.5 g andk = 2.5 kN/m. What's the resonant frequency of this system?Shaking your head at this frequency blurs vision, as the eyeballundergoes resonant oscillations.43. A mass m slides along africtionless horizontal sur-face at speed vo. It strikesa spring of constant k at-tached to a rigid wall, aswwwVoboneldeFIGURE 13.28 Problem 43Ido19 bnsshown in Fig. 13.28. Afteran elastic encounter withthe spring, the mass heads back the direction it came from.In terms of k, m, and vo, determine (a) how long the mass isin contact with the spring and (b) the spring's maximumcompression.44. Show by substitution that x(t) = A sin wt is a solution toEquation 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 andBIO as a mass-spring system with typical values m = 7.5 9 ank = 2.5 kN/m. What's the resonant frequency of this system2Shaking your head at this frequency blurs vision, as the eyeballundergoes resonant oscillations.43. A mass m slides along africtionless horizontal sur-face at speed vo. It strikesVoa spring of constant k at-tached to a rigid wall, asshown in Fig. 13.28. After eldo19an elastic encounter withFIGURE 13.28 Problem 43the spring, the mass heads back in the direction it came from.In terms of k, m, and vo, determine (a) how long the mass isin contact with the spring and (b) the spring's maximumcompression.44. Show by substitution that x(t) = A sin wt is a solution toEquation 13.3.45. A physics student, bored by a lecture on simple harmonic mo-tion, idly niglllipeo

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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter13: Vibrations And Waves

Section: Chapter Questions

Problem 32P: A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is...

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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
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