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jauneet singh Grade: 12
        a particle moves with a decreasing speed along the circle of radius r so that at any moment its tang and centripetal acc are equal in magnitude.at t=0,its speed is u.plz time after which speed reduce to 0
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear jauneet


at any instant tangential acceleraion is given by = dV/dt


but this is equal to centripital acceleation which is given as = mV2/r


  so   dV/dt = V2/r


        dV/V2 = 1/r dt


    ∫dV/V2 =∫ 1/r dt


    -1/V = 1t/r + C


 apply condition at t=0 V=u


 so C=-1/c


equation become   -1/V = 1t/r + -1/u


                            1/V = 1/u  + t/r


                             1/V =(r+tu)/ur


                            V=ur/(r+tu)


                       so clearly after infinite time particle will come to rest


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Badiuddin


                           

7 years ago
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