please answer the question with explanation for 50 points
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ANSWER
Suppose the angle between OA and OB = θ. Then the rate of change of θ,θ=ω B−ω A=2π−π=πrads−2θ=α B−αA =− 2
π rads −2If the angular displacement is Δθ, thenΔθ
= θ˙ t+ 21 θ t2For A and B to collide angular displacement,
Δθ=π.
⇒π=πt+ 21(2−π)t2
=t2−4t+4=0⇒t=2s
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