Question

Solve. Use the lever system equation F₁x = F₂(d-x).

A screwdriver d = 10 in. long is used as a lever to open a can of paint. The tip of the screwdriver is placed under the lip of the can with the fulcrum 0.15 in. from the lip. A force of F₂ = 27 lb is applied to the other end of the screwdriver. Find the force on the lip of the can.​

Answer 1

Given:

`F_(1)x=F_(2)(d-x)`

`F_(2)=27Ibs`

`d=10in`

`x=0.15 in`

Find:

`F_(1)`

To find the force, replace the variables
`F_(2)=27`,
`d=10`,
`x=0.15` and solve for
`F_(1)`.

=>
`F_(1)x=F_(2)(d-x)\\`

=>
`F_(1)(.15)=(27)((10)-(.15))\\`

=>
`F_(1)(.15)=(27)(9.85)\\`

=>
`F_(1)(.15)=265.95`

=>
`F_(1)=1773Ibs`

Thus the answer is 1773 Ibs.