A guide with a vertical slot is given a horizontal motion of x=200cos(0.3t), where x is in mm, t is in seconds and (0.3t) in radians. The guide controls the motion of pin P, which is also constrained to move along a fixed parabolic slot as shown below. The parabolic slot has a shape given by the equation y=x(squared)/200, where y is in mm.
For the instant where t=6.0seconds,
(a) Determine the position, velocity and acceleration of P in X-Y components.
(b) Determine the rate at which the speed of P is changing.
(c) Determine the instantaneous radius of curvature of the path.
Im just stuck on part c
The Attempt at a Solution
Part a = done
Part c have no clue where to start