
What does this observation imply about the net torque aboutthe pivot? Explain.

To Explain: The observation regarding the T shaped board maintaining equilibrium when suspended by a pivot through its center of mass, imply the net torque about the pivot.
Explanation of Solution
Introduction:
An object is in equilibrium if the following two conditions are satisfied:
(i) The resultant force acting on the object is equal to zero. This ensures that the object does not undergo translational motion.
(ii) The net torque about the pivot is zero. This ensures that the object does not undergo rotational motion.
The T shaped board is hung with the pivot passing through its center of mass and the board is in equilibrium. This would mean, that the resultant force acting on the board is zero and the net torque about the pivot is also equal to zero.
The weight of the board acts at its center of mass and the normal reaction force acts at the pivot. Since the pivot passes through the center of mass of the board, both weight and the normal force do not generate torques about the pivot.
Conclusion:
Thus, the fact that the T shaped board is in equilibrium implies that the net torque about the pivot is zero.
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