A uniform disc of mass m and radius R is projected horizontally with velocity `v_(0)` on a rough horizontal floor so that it starts with a purely sliding motion at t= 0. After `t_(0)` seconds it acquires a purely rolling motion. (a) Calculate the velocity of the centre of mass of the disc at `t_(0)` (b) Assuming the coefficient of friction to be `mu`, calculate to. Also calculate the work done by the frictional force as a function of time and the total work done by it over a time t muchlonger than `t_(0)`.

A uniform disc of mass m and radius R is projected horizontally with v

1.	A uniform disc of mass m and radius R is projected horizontally with velocity `v_(0)` on a rough horizontal floor so that it starts with a purely sliding motion at t= 0. After `t_(0)` seconds it acquires a purely rolling motion. (a) Calculate the velocity of the centre of mass of the disc at `t_(0)` (b) Assuming the coefficient of friction to be `mu`, calculate to. Also calculate the work done by the frictional force as a function of time and the total work done by it over a time t muchlonger than `t_(0)`.
Answer» Correct Answer - `[v_(0)//3,(1)/(2)mmu"gt"(2v_(0)-3mu"gt")]`

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