Particle P moves along the curved path shown. At the instant represented, r = 2 m, θ = 3...

Particle P moves along the curved path shown. At the instant represented, r = 2 m, θ = 30^o, and the velocity v makes an angle β = 60^o with the horizontal x-axis and has a magnitude of 3.2 m/s. If the y- and r-components of the acceleration of P are 5 m/s² and -1.83 m/s², respectively, at this position, determine the corresponding radius of curvature ρ of the path and the x-component of the acceleration of the particle. Solve graphically or analytically.