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A particle moving in the x-y plane has a position vector given by r = 0.73t²i +0.79t³j, where r is in inches and t is in seconds. Calculate the radius of curvature p of the path for the position of the particle when t = 2.6 sec. Sketch the velocity v and the curvature of the path for this particular instant. Answer: p= i in.
A small particle P starts from point O with a negligible speed and increases its speed to a value v = √2gy, where y is the vertical drop from O. When x = 40 ft, determine the n-component of acceleration of the particle. Vertical Answer: an = i Horizontal P ft ft/sec²