A student decided to try a different method to study torque, so she attached the

Question

A student decided to try a different method to study torque, so she attached the torque bar to a wall at pivot p and held the torque bar horizontal by tying a string and calibrated spring from the ceiling to the opposite end of the bar. Assume the following symbolic values for each of the following:

Length of torque bar = L, Location of center of mass = x from pivot measured along the bar, Mass of the torque bar = M, Tension in the string = T, Horizontal force at pivot = Fh, Vertical force at pivot = Fv, Angles ? and ?

Using the conditions for static equilibrium, write the three equations in symbolic that relate the symbolic values above.

Explanation / Answer

torque about pivot= MgLcos(Q-90)/2=TLcos(Q+theta-270)

torque about centre of mass=FvLcos(Q-90)/2=TLcos(Q+270-90)/2+FhLsin(Q-90)/2

torque about point touching rod=FvLcos(180-Q)=MgLcos(180-Q)/2+FhLsin(180-Q)

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