Particle P moves along the curved path shown. At the instant represented, r = 3.7 m, 0 = 40°, and the velocity v makes an angle B = 55° with the horizontal x-axis and has a magnitude of 4.1 m/s. If the y- and r-components of the acceleration of P are 4.63 m/s² and -1.34 m/s², respectively, at this position, determine the corresponding radius of curvature p of the path and the x-component of the acceleration of the particle. Solve graphically or analytically.
Particle P moves along the curved path shown. At the instant represented, r = 3.7 m, 0 = 40°, and the velocity v makes an angle B = 55° with the horizontal x-axis and has a magnitude of 4.1 m/s. If the y- and r-components of the acceleration of P are 4.63 m/s² and -1.34 m/s², respectively, at this position, determine the corresponding radius of curvature p of the path and the x-component of the acceleration of the particle. Solve graphically or analytically.
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