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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A simple harmonic motion is give by y = 12m * cos(8t) . What is the maximum acceleration in m/s^2?arrow_forwardA harmonic oscillator is made by using a 0.640 kg frictionless block and an ideal spring of unknown force constant. The oscillator is found to have a period of 0.152 s and a maximum speed of 2 m/s a)Find the force constant of the spring. Express your answer in newtons per meter. b)Find the amplitude of the oscillation. Express your answer in millimeters.arrow_forwardSuppose that you start procedure step 6 with an initial string-length, Li = 30 cm, and finish with a final length, Lf cm. In this process of going from Li to Lf , the linear frequency of the pendulum decreases such that we find: (fi − ff ) fi × 100 = 34, where fi is the frequency of the pendulum at Li and ff is its frequency at Lf . What is the value of Lf ?arrow_forward
- A simple harmonic oscillator has a mass of 1.95 kg. The graph shows the displacement of the block from equilibrium (x) as a function of time (t). a)Find the constants ω (in rad/s), A (in cm), and ? (in radians) in the function: x(t)=Acos(ωt+φ) b)Calculate the spring constant (k), in units of Newtons per meter (N/m) c)Calculate the total mechanical energy of the oscillator, in units of Joules (J).arrow_forwardTwo successive frequencies of harmonic vibration (reasonance) in a pipe are 532HZ and 684Hz. Is the pipe open at both ends or closed at one end? I'm just trying to conceptually understand this. Thank you for your help.arrow_forwardA mass m on a spring with spring constant k oscillates with Simple Harmonic Motion. Assume m and k are both known in base SI units. The exact position of the harmonic oscillator is described by this function. All quantities are expressed in base Sl units: x(t) = cos(3rt + T/4) This is a multi-select question, you must select 2 correct answers to receive full credit. Question #1: VWhat is the period of the oscillation? Question #2: What is the total distance traveled by the oscillator during one full period? (Hint: this is not asking for the displacement) The period of the oscillation is 3n [s] | The period of the oscillation is 3 [s] | The period of the oscillation is 4 T [s] The period of the oscillation is 2/3 [s] The period of the oscillation is 3/4 T² [s] The total distance traveled during one full period is 0 [m] The total distance traveled during one full period is 1 [m] | The total distance traveled during one full period is 2 [m] The total distance traveled during one full…arrow_forward
- The figure to the right shows the position vs. time graph of a Simple Harmonic Motion (SHM). Write the equations of motion for this Simple Harmonic Oscillator (SHO) as a function of time, with the appropriate numbers and trig functions. Calculate the exact position, velocity, and acceleration at a time of t = 9.35 s.arrow_forwardA loudspeaker diaphragm is oscillating in a simple harmonic motion described by the equation d=acos(ωt) with a frequency of 614 Hertz (cycles per second) and a maximum displacement of 1.50 millimeters. Find ω and then determine the equation that describes the movement of the diaphragm.arrow_forward
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