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Q.

The displacement x of a particle in motion is given in terms of time by x(x−4)=1−5cos⁡ωt

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a

the particle executes SHM

b

the particle executes oscillatory motion which is not SHM

c

the motion of the particle is neither oscillatory nor simple harmonic

d

the particle is not acted upon by a force when it is at x = 4

answer is A.

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Detailed Solution

d2(x−2)dt2=−ω24(x−2)∴ The particle executes SHM
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