Question 103: Oscillations

Question

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

Accepted Answer

KE = PE
$${1 \over 2}k({A^2} - {X^2}) = {1 \over 2}K{X^2}$$
$$ \Rightarrow $$ $${A^2} - {X^2} = {X^2}$$
$$ \Rightarrow $$ $$2{X^2} = {A^2}$$
$$ \Rightarrow $$ $${X^2} = {{{A^2}} \over {\sqrt 2 }}$$
$$ \Rightarrow $$ $$X =  \pm {A \over {\sqrt 2 }}$$

Answer

x = $${A \over 2}$$

Answer

x = $$\pm$$ A

Answer

x = $$\pm$$ $${A \over {\sqrt 2 }}$$

Answer

x = 0

Oscillations

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

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