Simple harmonic motion means that there is a single frequency independent of amplitude.
Since tripling the angular displacement does not triple the restoring force, the constant described scenario is outside the small-angle regime where the restoring force is assumed to be linear and in which the motion is approximately simple harmonic.
In simple harmonic motion (SHM), the motion of a system is characterized by a sinusoidal (or cosine) function. The frequency of this motion, which is the number of oscillations or cycles per unit time, remains constant and is independent of the amplitude (the maximum displacement from the equilibrium position).
In ideal simple harmonic motion, the restoring force is directly proportional to the displacement from the equilibrium position. If the restoring force were directly proportional to the angular displacement, tripling the displacement would triple the force. However, in the given scenario, this is not the case.
When a pendulum is pulled back from its equilibrium position by 10°, the restoring force is 1.0 N. When it is pulled back to 30, the force increases to 2.8 N Part B Explain why its motion is not simple harmonic. Match the words in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer frequency, linear, amplitude, triples, does not triple Simple harmonic motion means that there is a single __________ independent of __________. Since tripling the angular displacement __________ the restoring force, the constant described scenario is outside the small-angle regime where the restoring force is assumed to be __________. and in which the motion is approximately simple harmonic.