Rankers Physics
Topic: Oscillation
Subtopic: Energy in SHM

A body is executing simple harmonic motion. At a displacement x, its potential energy is E1 and at a displacement y, its potential energy is E2. The potential energy E at a displacement (x + y) is :
E1 + E2
√E1² + E2²
E1 + E2 + 2√E1E2
√E1E2

Solution:

\[ E_{1}= \frac{1}{2}Kx^{2} \]

\[ E_{2}= \frac{1}{2}Ky^{2} \]

\[  E= \frac{1}{2}K(x+y)^{2}= \frac{1}{2}Kx^{2} + \frac{1}{2}Ky^{2} + Kxy \]

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