Two SHMs y₁ = A sin(ωt) and y₂ = A cos(ωt) are superimposed on a particle of mass m. The total mechanical energy is:
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Question

Two SHMs y₁ = A sin(ωt) and y₂ = A cos(ωt) are superimposed on a particle of mass m. The total mechanical energy is:

G1 Physics · Accepted Answer

y₁=A sinωt and y₂=A cosωt combine to y=√2 A sin(ωt+π/4). Thus resultant amplitude is √2A. Total energy=(1/2)mω²(√2A)²=mω²A². Correct answer: B.