A small weight is suspended on a spring which is anchored to a ceiling and set in motion such that it bobs up and down vertically. When the spring is fully compressed, the height of the weight above a desk is 195 cm. When the spring is fully extended, the height of the weight above a desk is 6 cm. It takes 5 seconds for the weight attached to the spring to bob all the way down and back up again. If the first few bobs can be modelled by a sinusoidal function, develop a sine function which models the height of the weight above the desk, h, with time, t, if the weight is released beginning from its highest point.

A small weight is suspended on a spring which is anchored to a ceiling and set in motion such that it bobs up and down vertically. When the spring is fully compressed, the height of the weight above a desk is 195 cm. When the spring is fully extended, the height of the weight above a desk is 6 cm. It takes 5 seconds for the weight attached to the spring to bob all the way down and back up again. If the first few bobs can be modelled by a sinusoidal function, develop a sine function which models the height of the weight above the desk, h, with time, t, if the weight is released beginning from its highest point.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section6.5: Kinetic Energy And The Work–kinetic Energy Theorem

Problem 6.5QQ: A dart is inserted into a spring-loaded dart gun by pushing the spring in by a distance x. For the...

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