First slide

Rotational motion

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 1m and mass = 10 kg.F is

Moderate

A

100 N
B

66 N
C

167 N
D

133.3 N

Solution

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

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