Answer to Question #156461 in Classical Mechanics for bhsilasan

Question #156461

A particle P moves on the plane. Position vector of P is r\vec{r}. Angle θ\theta measured from point O to OP. If r¨=(krθ˙μr)e^r+kr˙e^θ\ddot{\vec{r}}=(kr\dot{\theta}-\mu r)\hat{e}_r+k\dot{r}\hat{e}_\theta where kk and μ\mu are constant and μ>34k2\mu >\frac{3}{4}k^2. Defining initial conditions at the time t=0t=0 ,r=ae^r,r˙=12kae^θ\vec{r}=a\hat{e}_r, \dot{\vec{r}}=\frac{1}{2}ka\hat{e}_\theta and θ=0\theta=0 find equation of motion of Pr¨=(krθ˙μr)e^r+kr˙e^θ)\ddot{\vec{r}}=(kr\dot{\theta}-\mu r)\hat{e}_r+k\dot{r}\hat{e}_\theta)


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Expert's answer
2021-01-21T10:16:31-0500
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