一道AP 2012 力學(xué)題
A ring of mass M,radius R,and rotational inertia MR2 is initially sliding on a frictionless surface at constant velocity u0 to the right,as shown above.At time t = 0 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,u0 ,μ,and fundamental constants,as appropriate.
一個質(zhì)量M,半徑R,轉(zhuǎn)動慣量為MR2（平方）的環(huán)開始在光滑水平面上以初速度V0向右滑動,t=0時刻進入滑動摩擦系數(shù)為μ的平面開始滑動同時滾動.經(jīng)過L距離后環(huán)只滾動不滑動.
求：（1）線速度V與t關(guān)系式；（2）角速度w與t的關(guān)系式；（3）運動距離L所用時間；（4）L的大小.