# The Rough Time...

Classical Mechanics Level pending

A rod is travelling on a smooth, level, horizontal surface. Beyond a point $$A$$, the floor ceases to be smooth and the coefficient of friction is $$\mu = 0.1$$. The rod is moving such that is moving towards the point $$A$$. The front end of the rod crosses the point $$A$$ at $$t=0$$ with a velocity $$v_{0}$$.

If at $$t= t_{0}$$, the rod stops, find the value of $$t_{0}$$ to the nearest integer .

Details and assumptions:

• The length of the rod is $$10 m$$.

• The rough patch is sufficiently long.

• The magnitude of acceleration due to gravity is $$9.8 \text{ } m/s^2$$

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