Question

A body of mass $10kg$ is placed on rough surface, pulled by a force $F$ making an angle of ${30}^o$ , then the minimum magnitude of force $F$ required to move the body is equal to (take , $g=m{s}^{-2}$)

• A. $100N$
• B. $50\sqrt{2}N$
• C. $100\sqrt{2}N$
• D. $50N$

Answer 1

The correct option is D $50N$

The force is applied at an angle${30}^{\circ }$.so the horizontal force is

$F=\mu N$

The force applied is given as$F=F\sin \theta$

The force applied should overcome the frictional force

$F=\frac{F}{2}$

By substituting the values in the above equation we get the minimum force is$50N$