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Honors Physics Worksheet - Simple Harmonic Motion and Simple Pendulums

This worksheet is designed to assess your understanding of simple harmonic motion concepts and simple pendulum concepts.

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A 0.50-kg mass at the end of a spring vibrates 3.0 times per second with an amplitude of 0.15 m. Determine (a) the velocity when it passes the equilibrium point, (b) the velocity when it is 0.10 m from equilibrium, (c) the total energy of the system, and (d) the equation describing th motion of the mass, assuming that at t = 0, x was a maximum.???
At t = 0, a 750-g mass at rest on the end of a horizontal spring (k = 124 N/m) is struck by a hammer, which gives it an initial speed of 2.76 m/s. Determine (a) the period and frequency of the motion, (b) the amplitude, (c) the maximum acceleration, (d) the position as a function of time, and (e) the total energy.???
A 0.50-kg mass vibrates according to the equation x = 0.45 cos 8.40t where x is in meters, and t is in seconds. Determine (a) the amplitude, (b) the frequency, (c) the total energy, and (d) the kinetic energy and potential energy when x = 0.30 m.???
A 400-g mass vibrates according to the equation x = 0.35 sin (5.50t) where x is in meters and t is in seconds. Determine (a) the amplitude, (b) the frequency, (c) the period, (d) the total energy, and (e) the KE and PE when x is 10 cm.???
A pendulum makes 36 vibrations in 50 s. What is its (a) period, and (b) frequency????
You want to build a grandfather clock with a pendulum (a weight on the end of a light cable) that has one second between its "tick" (swinging to) and its "tock" (swinging fro). (a) How long do you make the cable????
What is the period of a simple pendulum 50 cm long (a) on the Earth, and (b) when it is in a freely falling elevator????


Algebra I and Geometry Teacher
Patrick Henry High School
Ashland, VA

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