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?
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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