A 150 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring withk=100 N/m. At t=0, the mass is at x=-10cm and is moving with velocity v=-15m/sec.a) What is the total energy of the system?b) What is the position of the mass as a function of time, x(t)?c) What is the acceleration of the mass at t=3.5sec?A system with the same mass and spring constant as question above has a damping constanty=0.9. Assume the mass was pulled to the right 30 cm at t=0 and released.d) Estimate the time at which the amplitude has decayed to 4 of its initial value.e) Assume the system is connected to a forcing function given by (in Newtons)F(t)=2coswtEstimate the value of the amplitude at resonance.

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Description: A 150 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring withk=100 N/m. At t=0, the mass is at x=-10cm and is moving with velocity v=-15m/sec.a) What is the total energy of the system?b) What is the position of the mass

The given mass, m = 150 g = 0.150 kg The spring constant, k = 100 N/m At t = 0, x = -10 cm = -0.10 m…

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A 150 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring with k=100 N/m. At t=0, the mass is at x =-10cm and is moving with velocity v= -15m/sec. a) What is the total energy of the system? b) What is the position of the mass as a function of time, x(t)? c) What is the acceleration of the mass at t=3.5sec?

A 150 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring with k=100 N/m. At t=0, the mass is at x =-10cm and is moving with velocity v= -15m/sec. a) What is the total energy of the system? b) What is the position of the mass as a function of time, x(t)? c) What is the acceleration of the mass at t=3.5sec?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.1P

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