The angular velocities of three bodies in simple harmonic motion are ${\omega _1}, {\omega _2}, {\omega _3}$ with their respective amplitudes as ${A_1}, {A_2}, {A_3}$. If all the three bodies have the same maximum velocity,then:

• A
  ${A_1}{\omega _1} = {A_2}{\omega _2} = {A_3}{\omega _3}$
• B
  ${A_1}{\omega _1}^2 = {A_2}{\omega _2}^2 = {A_3}{\omega _3}^2$
• C
  ${A_1}^2{\omega _1} = {A_2}^2{\omega _2} = {A_3}^2{\omega _3}$
• D
  ${A_1}^2{\omega _1}^2 = {A_2}^2{\omega _2}^2 = {A_3}^2{\omega _3}^2$