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Free vibrations involve no transfer of energy between the vibrating object and its surroundings, whereas forced vibrations occur when there's an external driving force and thus transfer of energy between ...

It is a frame of reference in which Newton's first law, which states that objects won't change velocity (accelerate) unless an external force acts upon them, is obeyed.

Simple harmonic motion is an oscillation where both of the following statements are true:

-The acceleration of an object is directly proportional to its displacement from an equili...

Here is an example of integration where you would use the chain rule. You would begin by integrating 3sin(x) to get -3cos(x) and then cos(2x) to get 1/2sin(2x). This is because whatever is multiplied by t...