Energy in SHM – Rankers Physics
Topic: Oscillation
Subtopic: Energy in SHM

Energy in SHM

Assertion (A): Maximum potential energy in simple harmonic motion is equal to net mechanical energy.
Reason (R): Maximum kinetic energy in simple harmonic motion is equal to net mechanical energy.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

In SHM, total mechanical energy \( E \) is conserved. At extreme positions (maximum displacement), kinetic energy is zero, so \( E = PE_{max} \). Thus (A) is true. At the equilibrium position, potential energy is zero, so \( E = KE_{max} \). Thus (R) is true. However, (R) does not explain (A); both are independent statements describing energy distribution in SHM.

Leave a Reply

Your email address will not be published. Required fields are marked *