Question

A plane surface is inclined at an angle of ${60}^0$ with the horizontal. A body of mass 10 kg is uniformly accelerating, along the inclined plane surface. If the value of coefficient of friction ${\mu }_s$, between the body and the inclined surface is 0.2, calculate the minimum force required to pull the body up the inclined plane.

• A. 66.6 N
• B. 86.6 N
• C. 96.6 N
• D. 76.6 N

Answer 1

Answer: (C)

96.6 N

$F=mg(sin\theta +{\mu }_{k}cos\theta )$
$=10\times 10(\frac{\sqrt{3}}{2}+0.2\times \frac{1}{2})$
$=100\left(0.966\right)=96.6N$