Question

Define velocity of a body under SHM and derive the expression for velocity of a body executing SHM​

Answer 1

Answer:

Velocity (V): Velocity of a body in S.H.M. is V=dxdt=ddt{Aωcos(ωt+ϕ)} ∴V=-Aωsin(ωt+ϕ)orV=-ω√A2-x2. When (ωt=ϕ)=0 then velocity v=0. For points where (ωt+ϕ)=90∘ Velocity V=-Aωi.e., velocity is maximum.

Answer 2

4.8 K. Displacement of a body in S.H.M. X=Acos(ωt+ϕ). i) Displacement(x): At t=0 displacement x=A i.e., extreme position when ωt=ϕ=90∘ displacement x=0 at mean position at any point x=Acos(ωt+ϕ). ii) Velocity (V): Velocity of a body in S.H.M. is V=dxdt=ddt{Aωcos(ωt+