A rod of mass 'm' and length 'l' is made to stand at an angle of 60° with the vertical. Potential energy of the rod in this position is:-
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Potential energy of the rod is mgl/4
Potential energy is defined by its position or as mechanical energy. For example, the energy that a ball has when perched on the top of a steep hill while it is about to roll down.
Mass of the rod = m (Given)
Length of the rod = l (Given)
Vertical angle = 60° (Given)
x = 1/2 cos 60°
= l/4
Potential energy = PE = mgx, where m is the total mass in kilograms, h is the height in meters and g is the acceleration due to gravity.
= mgl/4
Thus, the potential energy of the rod in this position is mgl/4.
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