Question 72: Oscillations

Question

In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the particle is midway between mean and extreme position.

Accepted Answer

$$K = {1 \over 2}m{\omega ^2}({A^2} - {x^2})$$
$$ = {1 \over 2}m{\omega ^2}\left( {{A^2} - {{{A^2}} \over 4}} \right)$$
$$ = {1 \over 2}m{\omega ^2}\left( {{{3{A^2}} \over 4}} \right)$$
$$K = {3 \over 4}\left( {{1 \over 2}m{\omega ^2}{A^2}} \right)$$

Answer

$${1 \over 2}$$

Answer

$${3 \over 4}$$

Answer

$${1 \over 3}$$

Answer

$${1 \over 4}$$

Oscillations

In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the particle is midway between mean and extreme position.

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