A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and total energy E. At any instant, its kinetic energy is ${{3E} \over 4}$ then its displacement 'y' is given by :
Solution
$E = {1 \over 2}K{a^2}$<br><br>${{3E} \over 4} = {1 \over 2}K({a^2} - {y^2})$<br><br>$\Rightarrow$ ${3 \over 4} \times {1 \over 2}K{a^2} = {1 \over 2}K({a^2} - {y^2})$<br><br>$\Rightarrow$ ${y^2} = {a^2} - {{3{a^2}} \over 4}$<br><br>$\Rightarrow$ $y = {a \over 2}$
About this question
Subject: Physics · Chapter: Oscillations · Topic: Simple Harmonic Motion
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