For simple harmonic motion to be an accurate model for a pendulum, the net force on the object at the end of the pendulum must be proportional to the displacement.
32.
If you further assume a uniform density earth, the coin will be observed to follow a simple harmonic motion .-- talk ) 22 : 29, 9 October 2011 ( UTC)
33.
The term'harmonic'comes from simple harmonic motion, and is equivalent to the'sinusoidal'concept described in the section below, thus " secondary harmonic " meant to describe the non-sinusoidal vibration caused by secondary imbalance is incorrect.
34.
Is it possible to express simple harmonic motion using other ways that aren't used simply because they were discovered late in history ?-- talk ) 20 : 31, 9 March 2009 ( UTC)
35.
If " p " is a damped simple harmonic motion, so is " \ phi ", but the roll must be in quadrature with the roll rate, and hence also with the sideslip.
36.
:The standard form differential equation for simple harmonic motion is \ frac { d ^ 2x } { dt ^ 2 } =-\ omega ^ 2 x, where & omega; is the angular frequency.
37.
When calculating the period of a simple pendulum, the small-angle approximation for sine is used to allow the resulting differential equation to be solved easily by comparison with the differential equation describing simple harmonic motion.
38.
:For the second part, you can calculate the frequency of oscillation if you know the " mass " of the object and the " spring constant " of the spring-see Hooke's law and simple harmonic motion.
39.
In the article simple harmonic motion, the article says " solving the differential equation above produces a solution that is a sinusoidal function . " However, I have never seen this proven anywhere in my classes.
40.
:: If we give the coin a fairly big ( in two dimensions ) cavity in which to maneuver, I think it should still describe an ellipse, based on the " simple harmonic motion " mentioned above.
