An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $6 m$ $6 m$ . If the wheel attached to the axle has a radius of $32 m$ $32 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-03-01T10:22:15

The force is $= 12.86 N$ $=12.86N$

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The load is $= 7 g N$ $=7gN$

The radius of axle is $= 6 m$ $=6m$

The radius of wheel is $= 32 m$ $=32m$

The effort is $= E k g$ $=Ekg$

Taking moments about the center of the axle

$7 g \cdot 6 = E \cdot 32$ $7g*6=E*32$

$E = \frac{42 g}{32} = 1.31 g N$ $E=(42g)/32=1.31gN$

Force =1.31gN=12.86N

An object with a mass of 7 kg7kg7 kg is hanging from an axle with a radius of 6 m6m6 m. If the wheel attached to the axle has a radius of 32 m32m32 m, how much force must be applied to the wheel to keep the object from falling?