Simple Harmonic Motion

Question 1

What is the condition for Simple Harmonic Motion?

Answer 1

Acceleration is proportional to displacement and acts in the opposite direction

Question 2

Derive the equation for maximum kinetic energy?

Answer 2

Ek(max) = 1/2 mv(max)^(2)
Ek(max) = 1/2 mω^(2) A^(2)           v(max) = ωA
E(total) = 1/2 mω^(2) A^(2)