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A fixed end tube is 50 mm long. In the middle of the beam a 20 N torque is applied. If the polar moment of area of the tube = a mm^4 and the Shear Modulus of the material = p N/mm^2 Calculate the angle through which the tube rotates. I understand that I need to use T/J = Gθ/L but I am unsure what to do about the torque being applied in the middle? Thank you
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