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Physics 223 Name: Task 2 – Some simple harmonic motion calculations

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Physics 223 Name: Task 2 – Some simple harmonic motion calculations This task is due Monday, April 20 at 11:59 p.m. as an uploaded Canvas file. 1. A 3.0 kg mass on a spring undergoes simple harmo... nic motion and has a displacement in meters given by x = 4.0 cos (5pt – p/4) meters. a. What is the frequency of oscillation? Don’t forget units; you may assume two significant figures in all answers. b. What is the initial displacement x of the mass (at t = 0 s)? Don’t forget units. c. Write an equation for the velocity of the mass. d. What is the maximum force the spring exerts on the mass? Don’t forget units. 2. a. The graph shows a position vs time graph for a mass oscillating on a spring. Estimate the phase constant fo. b. At what position(s) is the potential energy of a mass on a spring undergoing simple harmonic motion equal to 1/3 the kinetic energy stored in the spring? Write your answer in terms of the amplitude A. 3. A massless horizontal spring on a frictionless table with a 2.00 kg attached at one end (the other end is fixed) undergoes simple harmonic motion. From other measurements, the spring constant is found to be 8.0 N/m. a. How long does it take to complete one oscillation, assuming no damping? b. If the spring were in an elevator accelerating upwards at 2.0 m/s2 would your answer to (a) be bigger, smaller or the same? Explain, ideally without any numbers. c. If a damper is placed on the spring with b = 8.0 kg/s, would this result in a underdamped, critically damped or overdamped oscillator? Explain your answer. [Show More]

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