An object with a mass of $8 kg$ is hanging from an axle with a radius of $27 m$ . If the wheel attached to the axle has a radius of $24 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-01-10T08:30:08

The force is $F=88.2N$

www.odicis.org

The load is $L=8gN$

The radius of the axle is $r=27m$

The radius of the wheel is $R=24m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*24=8g*27$

$F=(8g*27)/24=88.2N$

The force is $F=88.2N$

An object with a mass of 8 kg8 kg is hanging from an axle with a radius of 27 m27 m. If the wheel attached to the axle has a radius of 24 m24 m, how much force must be applied to the wheel to keep the object from falling?