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A uniform square of length L = 80 cm has a force F = 60 N applied at one corner parallel to one side of the square. What torque does this produce about the center of the square?

A Uniform Square Of Length L 80 Cm Has A Force F 60 N Applied At One Corner Parallel To One Side Of The Square What Torque Does This Produce About The Center Of class=

Answer :

Given,

The length of the side of the square, L=80 cm=0.8 m

The force applied, F=60 N

The distance between the centre and the point where the force is applied is given by,

[tex]\begin{gathered} d=\sqrt[]{0.4^2+0.4^2} \\ =0.16\text{ m} \end{gathered}[/tex]

The torque at the centre is given by,

[tex]\tau=F\times d[/tex]

On substituting the know values,

[tex]\begin{gathered} \tau=60\times0.16 \\ =9.6\text{ Nm} \end{gathered}[/tex]

Thus the torque about the center of the square is 9.6 Nm

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