Q7.31     A cylinder of mass 10kg  and radius 15cm  is rolling perfectly on a plane of inclination 30^{0}. The coefficient
              of static friction \mu _{s}=0.25.

             (c) If the inclination \Theta of the plane is increased, at what value of \Thetadoes the cylinder begin to skid, and not roll perfectly?

Answers (1)

In case of rolling without any skidding is given by :

                                             \mu\ =\ \frac{1}{3}\tan \Theta

Thus                                  \tan \Theta\ =\ 3 \mu

or                                                      =\ 3 \times (0.25)\ =\ 0.75

or                                              \Theta \ =\ 37.87 ^{\circ}