Question #156050

Find the downward force applied 25 cm from the axis of rotation when the torque is found to be 23.75 Nm


1
Expert's answer
2021-01-16T17:22:47-0500

By definition, the torque τ\tau is the product of the force FF and the distance of the force application rr (if they are perpendicular). Thus, oobtain:


τ=Fr\tau = Fr

Since τ=23.75 Nm\tau = 23.75\space N\cdot m, and r=0.25mr = 0.25m, obtain the force:


F=τr=23.75 Nm0.25m=95NF = \dfrac{\tau}{r} = \dfrac{23.75\space N\cdot m}{0.25m} = 95N

Answer. 95 N.


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