1.

A sphere of mass m and radius r rolls without slipping over a tunnel of width d=(8r)/(5) as shown in the figure. (in the figure the sphere rolls perpendicular to the plane of the page) the velocity of centre of mass of sphere is v directed into the plane of the page. the maximum speed of a point on the sphere is

Answer»

`(4v)/(3)`
`(8v)/(3)`
`(6V)/(3)`
`(3v)/(2)`

Solution :
`v=omegaxx(3R)/(5)impliesomega=(5V)/(3r)`
`v_(B)=omegaxx(8r)/(5)=(5v)/(3r)XX(8r)/(5)=(8v)/(3)`


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