A simple harmonic motion is represented by the equation y = 10 sin(10t – π/6). Where y is measured in meters, t in seconds, and the phase in radians. Calculate

i) the frequency,

ii) the time period,

iii) the maximum acceleration,

iv) the maximum displacement,

v) the maximum velocity, and

vi) displacement, velocity, and acceleration at time t = 0 and t = 1 second.

What is simple Harmonic motion? Write down the characteristics of simple harmonic motion. Explain the nature of L-T² curve.

Show that in simple harmonic motion conservation principle of energy is observed.

Derive the differential equation of simple harmonic motion.