A particle in SHM has speed equal to 0.8 times its maximum speed. If the magnitude of its displacement is written as |x|/A = N/10, find N.

Question

G1 Physics · Accepted Answer

For SHM, v/vₘₐₓ = √[1−x²/A²]. Given v/vₘₐₓ = 0.8. Therefore, 0.64 = 1−x²/A². Thus, x²/A² = 0.36. Hence, |x|/A = 0.6 = 6/10. Therefore, N = 6.