Question 149: Oscillations

Question

For a simple pendulum, a graph is plotted between its kinetic energy $$(KE)$$ and potential energy $$(PE)$$ against its displacement $$d.$$ Which one of the following represents these correctly?  
$$(graphs$$ $$are$$ $$schematic$$ $$and$$ $$not$$ $$drawn$$ $$to$$ $$scale)$$

Accepted Answer

$$K.E = {1 \over 2}k\left( {{A^2} - {d^2}} \right)$$
and $$P.E. = {1 \over 2}k{d^2}$$
At mean position $$d=0.$$ At extremes positions $$d=A$$

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Oscillations

For a simple pendulum, a graph is plotted between its kinetic energy $(KE) and potential energy (PE) against its displacement d. Which one of the following represents these correctly? (graphs are schematic and not drawn to scale)

Choose the correct answer: