Question

What is its total energy during oscillation of a body?

• A. $\frac{1}{4}m{\omega }^2{A}^2$
• B. $\frac{1}{2}m{\omega }^2{A}^2$
• C. $\frac{1}{8}{\omega }^{2}m{A}^2$
• D. $\frac{2}{5}{\omega }^{2}m{A}^2$

Answer 1

Answer: (B)

$\frac{1}{2}m{\omega }^2{A}^2$

If SHM is considered
the total energy at any point is given
kinetic energy + potential energy
$\frac{1}{2}m{V}^2+\frac{1}{2}m{\omega }^2{x}^2$
$\frac{1}{2}m{\omega }^2(A^2-x^2)+\frac{1}{2}m{\omega }^2{x}^2$
$=\frac{1}{2}m{\omega }^2{A}^2$