# INPHO -2005

Rolling sphere :-

A sphere of radius R is projected up an inclined plane of angle $$\theta$$ with initial speed u and angular velocity $${ \omega }_{ 0 }$$ in the direction such that it will roll up. The coefficient of friction is $$tan(\theta )/7$$ and it is given that u> $${ \omega }_{ 0 }$$ . Give the direction of friction for different parts of motion as sphere rises. Obtain the time for which sphere moves up the plane till it stops.

Note by Tushar Gopalka
3 years, 8 months ago

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How did you solve it?

- 3 years, 8 months ago

- 3 years, 8 months ago

Is the time $$\frac { 19u+2R{ \omega }_{ 0 } }{ 21gsin{ \theta } }$$ ????

- 3 years, 8 months ago

- 3 years, 8 months ago

@Mvs Saketh , @Ronak Agarwal @Deepanshu Gupta @jatin yadav @Calvin Lin @David Mattingly , its an awesome question. Solve it and enjoy.

- 3 years, 8 months ago