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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMMedium2 min

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A particle moves with SHM in a straight line. In the first $τ$ s after starting from rest it travels a distance $a$ , and in the next $τ$ s it travels $2 a$ in the same direction. Then:

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Answer:

Solution:

From rest at the extreme, the distance moved is $A (1 - cos ω t)$ . So $A (1 - cos ω τ) = a$ and $A (1 - cos 2 ω τ) = 3 a$ . Dividing: $2 (1 + cos ω τ) = 3$ , $cos ω τ = \frac{1}{2}$ , $ω τ = π /3$ , so $T = 6 τ$ and $A = 2 a$ .

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

⏱ 2m

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