Application of Newton’s Laws

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Physics Newtonian Mechanics Application of Newton’s Laws

	Time-Dependent Forces:
	The forces, which depend upon time as well as position, are called time-dependent forces. The example of such kind of forces can be the spring force, which is proportional to the displacement but in opposite direction and is expressed as: The force is expressed as the product of mass and acceleration. Thus, this expression can be simplified, giving us the acceleration of the object in terms of displacement: a(t) = − ω²x(t) Since, F_s=ma(t) = −m ω²x(t) & x(t) = Asin (ωt) is time dependent, so the force will be time dependent i.e d(F_s)/dt= -m ω²d(x)/dt is not zero.