A body is performing SHM, then its

Options

A. average total enregy per cycle is equal to its maximum kinetic energy
B. average kinetic energy per cycle is equal to half of its maximum kinetic energy
C. mean velocity over a complete cycle is equal to `(2)/(pi)` times of maximum velocity
D. root mean square velocity is `(1)/(sqrt2)` times of its maximum velocity

Explanation

To solve the question regarding a body performing Simple Harmonic Motion (SHM), we need to analyze the given options step by step.

### Step 1: Understanding Total Energy in SHM
In SHM, the total mechanical energy (E) of the system is constant and is the sum of kinetic energy (KE) and potential energy (PE). The total energy can be expressed as:
\[ E = KE + PE \]

For a mass-spring system, the total energy can be represented as:
\[ E = \frac{1}{2} k A^2 \]
...