$(2$ marks$)$ A rigid disk is rotating with a constant angular velocity of $.$ There is a smooth groove on the disk that allows free motion of a particle along the radial direction of the disk. At $t=0,$ a particle with a mass $m$ is placed in the groove with a distance to the center of $r_0.$ The particle has no initial velocity along the radial direction. No need to consider gravity. Determine the following parameters as a function of time the q$1$ and q$2$ solutions are almost same as a$4$cgived answers but a model answer addde ur at the end of q$1$ solution with rest of the answer same and in $2$ a utheta was added and rest of the part of $5$he solution was same. So kindly answer my concern