The Open Door Web Site
Mechanics

The Simple Pendulum


 

The restoring force, F, is a component of the force of gravity acting on the bob.

Therefore the magnitude of F is given by

F = mgsinOMEGASM

but, it is clear that, if x is positive, F acts in the negative sense and when x is negative, F acts in the positive sense therefore we must write

F = -mgsinOMEGASM

This force produces an acceleration, a, given by

a = -gsinOMEGASM

However, if OMEGABSM is a small angle sinOMEGABSM = OMEGABSM in radians and so we have

a = -gOMEGASM =

So, the motion is s.h.m. (for small angles) and the constant relating acceleration to displacement is given by FORMULA02 and, again, the time period can be calculated using FORMULA22.

 

Privacy Policy

Copyright Information

Sponsored Links

Sponsored Pages

Donating to the ODWS

Advertising on the ODWS