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A small object is kept on a groove on rough incline plane of inclination `theta`. Groove wakes an angle `alpha` as shown in diagram. `mu` coefficient of friction. Which of the following is correct A. Normal force by incline plane. `N=mg cos theta`B. Normal force by incline is `N=mgsqrt(cos^(2)theta+sin^(2)theta sin^(2) alpha)`C. maximum frictional force that can develop is `f_(max)=mumg cos theta`D. If `mu=0` then acceleration of blocks is `g sin theta cos alpha` |
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Answer» Correct Answer - B::D `N_(1)= mg cos theta` perpendicular to the plane `N_(2)= mg sin theta sin alpha` `N_(2)` is in the plane of incline perpendicular to groove. `N=sqrt(N_(1)^(2)+N_(2)^(2))` If `mu=0` Net force along groove. `mg sin theta cos alpha`. Hence acceleration is `g sin theta cos alpha`. |
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