
Note that this problem is very similar to an example worked out in Wednesday's lecture. The steps that we followed in that solution are as follows:
- Determine x_dot and y_dot. From this, we write the velocity of the pin as: v = x_dot*i + y_dot*j.
- Determine x_dot_dot and y_dot_dot. From this we write the acceleration of the pin as: a = x_dot_dot*i + y_dot_dot*j.
- The rate of change of speed, v_dot, is found by the projection of the acceleration a onto the e_t direction: v_dot = a • (v/|v|) .
- The radius of curvature can be found from the magnitude of the acceleration equation in path coordinates: |a|^2 = (v_dot)^2 + (v^2/rho)^2.
Let us know if you have questions on this.
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