Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A box of weight W = 500 N is set on a light plank d = 5 meters from a fulcrum. A force F is applied to the plank on the opposite side of the fulcrum a distance D = 10 meters from the fulcrum, as shown. What minimum force is required to lift the box?

A Box Of Weight W 500 N Is Set On A Light Plank D 5 Meters From A Fulcrum A Force F Is Applied To The Plank On The Opposite Side Of The Fulcrum A Distance D 10 class=

Sagot :

Given data

*The weight of the box is W = 500 N

*The distance of the plank from the fulcrum is d = 5 m

*The given force at a distance from the fulcrum is D = 10 m

The minimum force is required to lift the box is given by the net torque as

[tex]\begin{gathered} \tau=0 \\ W\times d-F\times D=0 \\ W\times d=F\times D \end{gathered}[/tex]

Substitute the known values in the above expression as

[tex]\begin{gathered} 500\times5=F\times10 \\ F=250\text{ N} \end{gathered}[/tex]

Hence, the minimum force is required to lift the box is F = 250 N