Question

Calculate the force $F$ that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height $0.4m$. Radius of wheel is $1m$ and mass $=10kg$. $F$ is :

• A. $100N$
• B. $66N$
• C. $167N$
• D. $133.3N$

Answer 1

Answer: (D)

$133.3N$

Taking moments of forces about point P, we get
$F\times 0.6=100\times 0.8$
$F=\frac{100\times 0.8}{0.6}N=\frac{800}{6}N=\frac{400}{3}N=133.3N$