The equations of motion of a particle moving on a horizontal smooth turntable rotating with constant angular speed ω, in the frame of the table are
x¨=2ωy˙+ω²xy¨=-2ωx˙+ω²y
If the particle starts from the center of the table with velocity v=v₀i+v₀j, find the solutions of the equations.If the turntable has a radius R, determine the time and the point where the mass leaves the table.