A particle performs S.H.M. of amplitude 10 √2 cm. Find at what distance from the mean position the potential energy will be equal to its kinetic energy.
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- question a,b and c ty For any vector quantity, be sure to always include the magnitude and direction(teacher asked)Chapter 15, Problem 051 GO In the figure, a stick of length L = 1.9 m oscillates as a physical pendulum. (a) What value of distance x between the stick's center of mass and its pivot point o gives the least period? (b) What is that least period? L/2 (a) Number Units (b) Number Units udy Click if you would like to Show Work for this question: Open Show WorkThe potential energy of an object attached to a spring is 2.50 J at a location where the kinetic energy is 1.40 J. If the amplitude ? of the simple harmonic motion is 22.0 cm, calculate the spring constant ? and the magnitude of the largest force ?spring, max that the object experiences.
- A simple pendulum with a length of 1.73 m and a mass of 6.74 kg is given an initial speed of 2.36 m/s at its equilibrium position. (a) Assuming it undergoes simple harmonic motion, determine its period (in s). (b) Determine its total energy (in J). (c) Determine its maximum angular displacement (in degrees). (For large v, and/or small /, the small angle approximation may not be good enough here.) (d) What If? Based on your answer to part (c), by what factor would the total energy of the pendulum have to be reduced for its motion to be described as simple harmonic motion using the small angle approximation where 0 ≤ 10°?A pendulum is undergoing simple harmonic motion. At a particular instant, you measure its speed to be v0,and you notice that exactly half of its energy is potential, and the other half is kinetic. It is a simple pendulum oflength l, with all of its mass (m) concentrated in a point at the end. a) In terms of v0, what is the highest speed the pendulum will reach? b)What is the largest angle that the pendulum will reach?The potential energy of an object attached to a spring is 2.60 J at a location where the kinetic energy is 1.30 J. If the amplitude ?of the simple harmonic motion is 19.0 cm, calculate the spring constant ? and the magnitude of the largest force ?spring, max that the object experiences.
- A metal sphere with a mass 7.00 kg is connected to a spring with a force constant of 200 N/m, and it oscillates horizontally with an amplitude of 2.20 cm. (a) What is the total mechanical energy (in J) of the sphere-spring system? (b) What is the maximum speed (in m/s) of the oscillating sphere? m/s (c) What is the maximum magnitude of acceleration (in m/s2) of the oscillating sphere? m/s²The length of a simple pendulum is 0.85 m and the mass of the particle (the “bob”) at the end of the cable is 0.32 kg. The pendulum is pulled away from its equilibrium position by an angle of 7.5° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy of the pendulum as it swings back and forth.Calculate the velocity of a simple harmonic oscillator with amplitude of 29 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in SI units. Answer: Choose...
- The potential energy of an object attached to a spring is 2.70 J at a location where the kinetic energy is 1.60 J. If the amplitude ? of the simple harmonic motion is 17.0 cm, calculate the spring constant ? and the magnitude of the largest force ? spring,max that the object experiences.A harmonic oscillator has angular frequency w and amplitude A. Assume that the elastic potential energy of the oscillator is zero at x = 0. At an instant when the displacement is equal to A/5, what fraction of the total energy of the oscillator is kinetic? Give the final answer to 2 decimal places.