Expert Answer :Physics 205 Quiz 10, Spring

Solved by verified expert :Physics 205Quiz 10, Spring 15Name:__________________ Recitation Section:____________Directions: Select the best answer for each of the following. Assume all numbers are good to 3 significant figures unless otherwise indicated.1. A ring of mass M has an inner radius ½R and outer radius R and a surface density ? = a r, where r is the radial distance from the ring’s center and a is a constant to be written in terms of M and R. What is the moment of inertia of this ring (in terms of M and R) for an axis that is perpendicular to the disk and through the center of mass?2. The ring described above is given an initial velocity V0 i sliding on a horizontal frictionless surface. It collides with and sticks to the end of auniform rod of length 2R and mass 2M (see sketch of the before and after conditions below and imagine the great super glue used).A. What is the final velocity of the system’s center of mass after the collision?B. What is the angular velocity of the system after the collision? Hint: The rotation after the collision is about the center of mass of thesystem. Your answer will be in terms of R andV0 only.V0beforeafter