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 0.4 m. Radius of wheel is 1 m and mass =10 kg ⋅ F is

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 0.4 m. Radius of wheel is 1 m and mass =10 kg ⋅ F is (A) 100 N (B) 66 N (C) 167 N (D) 133.3 N

Tardigrade Admin · Accepted Answer

Taking moments of forces about point P, we get F × 0.6=100 × 0.8 or F=(100 × 0.8/0.6) N =(800/6) N =(400/3) N =133.3 N

Q. 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 $0.4 m$ . Radius of wheel is $1 m$ and mass $= 10 k g \cdot F$ is

$100 N$

$66 N$

$167 N$

$133.3 N$

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

Q. 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

100N

66N

167N

133.3N