A cylinder of radius `R` and mass `M` rolls without slipping down a plane inclined at an angle `theta`. Coeff. of friction between the cylinder and the plane is `mu`. For what maximum inclination `theta`, the cylinder rolls without slipping ?A. `tan^(-1) mu`B. `tan^(-1) (3mu)`C. `tan^(-1) 2mu`D. `tan^(-1) .(3)/(2) mu`

A cylinder of radius `R` and mass `M` rolls without slipping down a pl

1.	A cylinder of radius `R` and mass `M` rolls without slipping down a plane inclined at an angle `theta`. Coeff. of friction between the cylinder and the plane is `mu`. For what maximum inclination `theta`, the cylinder rolls without slipping ?A. `tan^(-1) mu`B. `tan^(-1) (3mu)`C. `tan^(-1) 2mu`D. `tan^(-1) .(3)/(2) mu`
Answer» Correct Answer - B As is know from theory, `mu = (tan theta)/(1 + mR^(2)//I) = (tan theta)/(1+2) = (tan theta)/(3)` `tan theta_(max) = 3mu` `theta_(max) = tan^(-1) (3mu)`

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