A body executing SHM at a displacement 'x' it’s $$PE$$ is $$E1$$,at a displacement ‘y’ its $$PE$$ is $$E2$$. The $$PE$$ at a displacement (x+y) is

Question

A body executing SHM at a displacement 'x' it’s $$PE$$ is $$E1$$,at a displacement ‘y’ its $$PE$$ is $$E2$$. The $$PE$$ at a displacement (x+y) is

Infinity Learn · Accepted Answer

$$PE$$ of a simple harmonic oscillator is $$PE$$$$=12m$$ω$$2y2$$, here $$m=$$ mass, ω$$=$$ angular velocity, $$y=displacement$$ $$PE$$α$$y2$$⇒$$PE$$ α y, where mω$$2=constant$$ $$y=kPE$$  ,here $$PE$$$$=E$$      Given at displacement x, $$PE$$$$=E1$$⇒ $$x=KE1----(1)$$                    at displacement y,$$PE$$$$=E2$$⇒$$y=KE2----(2)$$  at displacement  $$x+y$$, let $$PE$$ be E,⇒$$x+y=$$$$KE$$$$----(3)$$ substitute eqn $$1$$,$$2$$ in $$3$$ ⇒$$KE1+KE2=$$$$KE$$ $$E=E1+E2$$

A body executing SHM at a displacement 'x' it’s PE is $E_{1}$ ,at a displacement ‘y’ its PE is $E_{2}$ . The PE at a displacement (x+y) is

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A body executing SHM at a displacement 'x' it’s PE is E1,at a displacement ‘y’ its PE is E2. The PE at a displacement (x+y) is

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A body executing SHM at a displacement 'x' it’s PE is $E_{1}$ ,at a displacement ‘y’ its PE is $E_{2}$ . The PE at a displacement (x+y) is