A simple pendulum of length L, has a maximum angular displacement e_max. At one point in its motion, its kinetic energy is K = 3 Jand its potential energy is U = 4.2 J. When the pendulum's angular velocity is one-third its maximum value (0' = O'_max/3), then its kinetic energy is: K = 0.45 J O K= 0.75 J O K= 1.8 J O K = 0.8 J O K= 1 J

The 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.

Problem 1. Energy Terms Determine the potential energy of the pendulum shown below. Note: The potential en- ergy should be 0 when 0 = 0, mgL when 0=1, and 2mgL when 0 = 1. /////// 8 m Q Search 99+ H

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?