An object with a mass of $3 kg$ is hanging from an axle with a radius of $6 cm$ . If the wheel attached to the axle has a radius of $16 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-04-12T05:56:15

The force is $F=11.03N$

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The load is $L=3gN$

The radius of the axle is $r=0.06m$

The radius of the wheel is $R=0.16m$

The effort is $=FN$

The acceleration due to gravity is $g=9.8ms^-2$

Taking moments about the center of the axle

$F*0.16=3g*0.06$

$F=(3g*0.06)/0.16=11.03N$

The force is $F=11.03N$

An object with a mass of 3 kg3 kg is hanging from an axle with a radius of 6 cm6 cm. If the wheel attached to the axle has a radius of 16 cm16 cm, how much force must be applied to the wheel to keep the object from falling?