1. The problem statement, all variables and given/known data A uniform ball of mass M and raduis a can roll without slipping on the rough outer surface of a fixed sphere of raduis b and centre O. Initially the ball is at rest at the highest point of the phere when it is slightly disturbed . Find the speed of the center the G of the ball in terms of the variable theta , the angle between the line OG and the upward vertical. [Assume planar motion]. Show that the ball will leave the sphere when cos (theta)=10/17 2. Relevant equations linear momentum principle M*dV/dt=dP/dt=F 3. The attempt at a solution answer: v^2=(10/7)*g(a+b)(1-cos(theta) since they give you v^2 and v^2 is associated with the kinetic energy of a particle, should I apply the Energy principle rather than the linear momemtum principle. I probably should break the x and y components of the ball with radius b and the hemisphere with to sin(theta) and cos(theta) components. the y- componet will contained the weight of the balls while the x-component will not.