Which statements are correct for an ideal particle executing one-dimensional SHM with amplitude A and angular frequency ω?
Select all that apply

Question

Which statements are correct for an ideal particle executing one-dimensional SHM with amplitude A and angular frequency ω?

G1 Physics · Accepted Answer

For ideal SHM, a = −ω²x, so acceleration is proportional to displacement and opposite in direction. Energy or differentiation of the SHM equation gives v² = ω²(A²−x²). At x = 0, speed is maximum: vₘₐₓ = Aω. At |x| = A, acceleration magnitude is maximum: |a|max = Aω². Therefore all four statements are correct.