AP EAMCET Engineering 20 Apr 2019 Shift 2 Paper

Consider the free body diagram of the system,The expression of the net acceleration force down the inclined plane is,
F=mg‌sin‌θ−µmg‌cos‌θ
The expression of net retarding force is,
F1=mg‌sin‌θ+µmg‌cos‌θ
Given condition, F1=2F Substituting the values, we get
mg‌sin‌θ+µmg‌cos‌θ‌‌=2(mg‌sin‌θ−µmg‌cos‌θ)
3µg‌cos‌θ‌‌=mg‌sin‌θ
tan‌60∘‌‌=3µ
µ‌‌=‌

1

√3