InterviewSolution
Saved Bookmarks
| 1. |
A cylinder having radius 0.4 m initially rotating (at `r=0`) with `omega_(0)=54rad//s` is placed on a rough inclinded plane with `theta=37^(@)` having friction coefficient `mu=0.5` the time taken by the cylinder to start pure rolling is `(g=10m//s^(2))`A. 5.4 sB. 2.4 sC. 1.4 sD. none of these |
|
Answer» `a=(mucostheta)+(gsintheta)` `=0.5xx10xx0.8+10xx0.6=10m//s^(2)` `alpha=(mumgcostheta)R)/((1)/(2)mR^(2))=(2mugcostheta)/(R)` `=(2xx0.5xx10xx0.8)/(0.4)=20rad//s^(2)` Pure rolling will start when `v=Romega` or at `=R(omega_(0)-alphat)` `therefore10t=0.4(54-20t)` Solving this equation we get `t=1.2s` |
|