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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 407 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A speed governor consists of a block of mass m that slides within a smooth groove in a housing. The unstretched length of the spring, whose stiffness is k, is selected such that the block is situated at s = 0 when there is no rotation. The system rotates about the vertical axis at angular speed ω.
(a) Derive a differential equation governing s as a function of time in the case where ω is an arbitrary function of time.
(b) Derive an expression for the normal force exerted by the groove wall on the block in terms of ω and s.
(c) Determine the natural frequency of oscillation when ω is constant, and explain how that result can be used to monitor when a exceeds a critical value.

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