Question

2012 AP PHYSICS C: MECHANICS FREE-RESPONSE QUESTIONS Sliding Only Sliding and Rotating Rotating with No Sliding No Friction Friction with Coefficient μ 1-0 Mech. 3. A ring of mass M, radius R, and rotational inertia MR is initially sliding on a frictionless surface at constant velocity uo to the right, as shown above. At time 10 it encounters a surface with coefficient of friction μ and begins sliding and rotating. After traveling a distance L the ring begins rolling without sliding. Express all answers to the following in terms of M, R-u,.μ. and fundamental constants, as appropriate. (a) Starting from Newton's sccond law in cither translational or rotational form, as appropriate, derive a differential equation that can be used to solve for the magnitude of the following as the ring is sliding and rotating i· The linear velocity u of the nng as a function of time t ii. The angular velocity w of the ring as a function of time (b) Derive an expression for the magnitude of the following as the ring is sliding and rotating i. The linear velocity v of the ring as a function of time i. The angular velocity a of the ring as a function of time time it takes the ring to travel the distance L (c) Derive an expression for the d) Derive an expression for the magnitude of the velkcity of the ring immediately afher it has traveled the distance ! (e) Derive an expression for the distance

Can you please solve the problem with explaining the concepts used because I’m having trouble understanding the question and how to solve it

Answer 1