Minimum force required to move a body up a rough inclined plane F1=mg(sin‌θ+µ‌cos‌θ) Minimum force required to prevent the body from sliding down the rough inclined plane F2=µmg‌cos‌θ According to question, F1=3F2 ∴mg(sin‌θ+µ‌cos‌θ)‌=3(µmg‌cos‌θ) sin‌θ+µ‌cos‌θ‌=3µ‌cos‌θ sin‌θ‌=2µ‌cos‌θ tan‌θ‌=2µ ‌=2×‌