particle has an equation of motion given by: x = cos2wt – sin2wt. Select the correct statement regarding the same. a) It is not a SHM b) It is a SHM with T = π/w c) It is an SHM with T = 2π/w d) Amplitude of motion is 1/√2 m

particle has an equation of motion given by: x = cos2wt – sin2wt. Select the correct statement regarding the same. a) It is not a SHM b) It is a SHM with T = π/w c) It is an SHM with T = 2π/w d) Amplitude of motion is 1/√2 m

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Question

particle has an equation of motion given by: x = cos2wt – sin2wt. Select the correct statement regarding the same.

a) It is not a SHM

b) It is a SHM with T = π/w

c) It is an SHM with T = 2π/w

d) Amplitude of motion is 1/√2 m

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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