Question

Help with some problems in homework please and thank you

Answer 1

For the system to be balanced, the torque generated on each side of the fulcrum must be the same.

On the other hand, the torque τ generated by a force F applied at a distance d from the fulcrum is given by the equation:

`\tau=d* F`

Let W be the weight of the rock. Since the torque generated by the crate must be the same as the torque generated by the rock, then:

Rewrite the distance of 730 cm in meters:

`\Rightarrow(5.4m)*(800N)=(7.30m)* W`

Solve for W to find the weight of the rock:

`\Rightarrow W=(5.4m*800N)/(7.30m)=591.78\ldots N\approx592N`

Therefore, the rock must be as large as for its weight to be equal to 592N.