A small mouse has gotten into a peculiar situation. Somehow, the mouse has found

Question

A small mouse has gotten into a peculiar situation. Somehow, the mouse has found himself hanging off the end of the metal structure shown in the figure below. Hopefully the structure can support the 34.6 g mouse because it would not make the fall. The structure is rigidly fixed to a wall and has mass per unit length of 2.91 g/cm and dimensions x = 18.6 cm and y = 34.6 cm, defined as y = 0.1 x^2 (where the attachment point P has coordinates xp = 0, yp = 0). Calculate the torque about the attachment point P.

Explanation / Answer

Torque about point P, T = m*g*x*sin(90)

= 34.6*10^-3*9.8*0.186

= 0.063 N.m

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