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- 8.13. A simple harmonic oscillator consists of a block attached to a spring with k = 200 N/m. The block slides on a frictionless surface, with equilibrium point x = 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown. The horizontal scale is set by t, = 0.20 s.What v (m/s) t (s) are -2n the period of the SHM the block's mass а. b. it's displacement at t = 0 it's acceleration at t = 0.10 s, and it's maximum kinetic energy? С. d. е.Create a plot of the period vs. mass (exclude the steel bolt). Construct your plot on a computer program such as Microsoft Excel®.
- b. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to the equation x = 0.04 cos ( 20zt +"). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. wwwip Figure 3: Question 2(b) A spring mass systemProblem 1: A simple harmonic oscillator is composed of a mass hanging from a spring. The mass of the hanging object is 400 g and the spring constant is 0.8 2. At the time t = 0 s, the mass is 2cm above its equilibrium position. The т amplitude of the oscillation is 5 cm. a) What is the initial phase? b) Find one of the times where the mass is located at 3cm above equilibrium. c) Find the kinetic and potential energies at t = 1s. d) What is the maximum kinetic energy?Answer A and B.
- 1.A hoop is hung on a horizontal nail and undergoes small oscillations, once every 2 seconds. What is the radius of the hoop?exaplin D E F onlyA small steel ball is hanging by a light thread from the ceiling. The steel ball is then displaced 5.0 cm and makes 32 oscillations in exactly 50 s. Determine the period, T, angular frequency, w, and then write the motion of the steel ball as a function of time, t.
- Determine the amplitude, period, and phase shift of the function y = sin(x - π). Then graph one period of the function.In determining which has the longer period, an oscillator with a frequency of 200 Hz or one with f = 300 Hz, can the subject matter expert help me to review, the difference between ...1/2 and 1/3? The likely answer is 200 Hz, the idea that the smaller the denominator, the longer the period. Just guessing.A mass m = 2.8 kg is at the end of a horizontal spring of spring constant k = 490 N/m on a frictionless horizontal surface. The block is pulled, stretching the spring a distance A = 8.5 cm from equilibrium, and released from rest. a) Calculate the period T of the oscillations in seconds. b)Write an equation for the maximum speed vmax of the block. c)Write an equation for the maximum acceleration amax of the block.