Questions
A body executing SHM at a displacement 'x' it’s PE is ,at a displacement ‘y’ its PE is . The PE at a displacement (x+y) is
a
E=E1−E2
b
E=E1+E2
c
E=E1+E2
d
E=E1-E2
detailed solution
Correct option is B
potential energy of simple harmonic oscillator is PE=12mω2y2,here m=mass of oscillator,ω=angular velocity,y=displacement ⇒PE ∝ y2,here m, w are taken constant ⇒y=kPE Let say PE=E Given at displacement x,PE=E1⇒ x=KE1 at displacement y,PE=E2⇒y=KE2 at displacement x+y=KE ⇒KE1+KE2=KE ⇒E=E1+E2Talk to our academic expert!
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When the displacement is half the amplitude, the ratio of potential energy to the total energy is
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