At t = 0, a thin cylindrical shell of mass M and radius R is spinning...

 

 

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At t = 0, a thin cylindrical shell of mass M and radius R is spinning backwards while moving forwards on a table top with frictional coefficient u. The initial linear velocity of the shell is vo and the initial angular velocity is wo = -3vo/R. Thus, the shell is initialized to be rolling while slipping. 1) Compute the acceleration and velocity of the shell as a function of time from t = 0 at initialization to t = to, which is when the sphere starts to roll without slipping. 2) Compute the angular acceleration and angular velocity of the shell during this same time period. 3) Compute to in terms of the initial velocity vo and the given variables of the system. 4) How does the shell move at times t≥ to? Draw a picture, indicating the magnitude and direction of the both the velocity and angular velocity. 5) How much energy was lost to friction from start to finish, i.e. from t = 0 to t≥ to? ωο M μ R Vo At t = 0, a thin cylindrical shell of mass M and radius R is spinning backwards while moving forwards on a table top with frictional coefficient u. The initial linear velocity of the shell is vo and the initial angular velocity is wo = -3vo/R. Thus, the shell is initialized to be rolling while slipping. 1) Compute the acceleration and velocity of the shell as a function of time from t = 0 at initialization to t = to, which is when the sphere starts to roll without slipping. 2) Compute the angular acceleration and angular velocity of the shell during this same time period. 3) Compute to in terms of the initial velocity vo and the given variables of the system. 4) How does the shell move at times t≥ to? Draw a picture, indicating the magnitude and direction of the both the velocity and angular velocity. 5) How much energy was lost to friction from start to finish, i.e. from t = 0 to t≥ to? ωο M μ R Vo

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Lets solve each part of the problem step by step 1 Acceleration and Velocity of the Shell At t0 the ... View the full answer