3. (25 pts.) Timmy's sister has turn him into a block of mass m and attached him to a vertical rod shown below by two strings. The two strings are attached to the top and bottom of Timmy and are separated by a distance y on the rod. The upper string has a length Li, the lower string, a length L2. Timmy's sister rotates the rod at an angular speed w. Let m = 3.98200 kg, L1 = 6.0000 m, L2 = 6.0000 m and y = 7.0000 m. w L1 y m (a) At what maximum angular speed can Timmy's sister rotate the rod so that the lower string has no tension? What is the tension in the upper string in this case? (b) Timmy's sister decides to increase the rotational speed of the rod at a rate of 1.25000 rad/s for 1.60000 s. If the rod initially rotates at a rate of 24.80000 rot/min, what is the tension in each string after 1.60000 s