Problem 1: u A point mass is moving on a 1vertical circle of radius R, in the presence of constant gravityr 1with gravitational acceleration g and friction coefcient it. Find the speed of the point as a function of the angular coordinate on the circle1 um}, if the point starts moving at E = D with initial speed on. \"hat does the solution become for g = my, 3'- I]? 1What is the solution for p: = [Lg 9E ? Prove that the maximum extent of the pco'nt's angular displacement cannot exceed 1 |: 1:: 3p: 1 l 1 +411? sz=IIL +ll1 . 2;; 311:; l+4n2 4p, l+,:.IL2