Which of the following forces, acting on a particle of mass m, will not result in simple harmonic motion? The displacement of the particle from the equilibrium position is denoted by x(t). (a) F(t) = -2x2(t) (b) F(t) = +2x2(t) (c) F(t) = +2x(t) (d) F(t) = -2x(t)

Which of the following forces, acting on a particle of mass m, will not result in simple harmonic motion? The displacement of the particle from the equilibrium position is denoted by x(t). (a) F(t) = -2x2(t) (b) F(t) = +2x2(t) (c) F(t) = +2x(t) (d) F(t) = -2x(t)

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Question

Which of the following forces, acting on a particle of mass m, will not result in simple harmonic motion? The displacement of the particle from the equilibrium position is denoted by x(t).

		(a) F(t) = -2x²(t)
		(b) F(t) = +2x²(t)
		(c) F(t) = +2x(t)
		(d) F(t) = -2x(t)

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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