Rotational dynamics

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Physics Newtonian Mechanics Rotational dynamics

	Equilibrium Applications of Newton’s Laws for Rotation:
	The condition for rotational equilibrium in general is given as the sum of total torque and total force acting on the object to be zero. This can be given as follows: The following example would give further insight into the equilibrium application of Newton’s laws. In this example let us consider a ladder kept as shown in the figure (a). Now, for the equilibrium to the ladder we can write: Considering O as the origin of the co-ordinate system so that O is at the bottom of the ladder then we can write: On simplifying the above equation we obtain: Here P is the force acting at the top edge of the ladder and mg is the weight acting downwards from the center of gravity. The above treatment gives an idea about the application of the conditions of rotational equilibrium through Newton’s laws.