A mass weighing 8 pounds is attached to a spring. When set in motion, the spring/mass system exhibits simple harmonic motion. (a) Determine the equation of motion if the spring con- stant is 1 Ib/ft and the mass is initially released from a point 6 inches below the equilibrium position with a downward velocity of f/s.

The potential energy of an object attached to a spring is 2.40 J at a location where the kinetic energy is 1.70 J. If the amplitude A of the simple harmonic motion is 20.0 cm, calculate the spring constant k and the magnitude of the largest force Fspring, max that the object experiences.

Calculate the velocity of a simple harmonic oscillator with amplitude of 19.9 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in SI units.

A vertical spring-mass system has a 0.6kg weight attached to its end. You stretch the spring 0.4 m away from its equilibrium positon and when it oscillates up and down, it has a frequency of 2.5hz. (a) Calculate the Spring Constant (b) If you increase the distance that you stretch the spring-mass system, expalin how this would affect it's frequency. (c) At what distance from the spring-mass system's equilibrium position does it have the smallest acceleration? Explain your reasoning.

A mass of .5kg is attached to a spring is displaced at a distance X from the resting position of the spring.  At the initial time 0 the mass is released and its position= pt=.15meters x cos((pi/seconds)*t) What are thee two times and positions the magnitude of acceleration reaches at it's max Find the maximum acceleration

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.