## Related questions with answers

A particle of mass $m$ is projected from point $A$ with an initial velocity $\mathbf{v}_0$ perpendicular to line $O A$ and moves under a central force $\mathbf{F}$ directed away from the center of force $O$. Knowing that the particle follows a path defined by the equation $r=r_0 \sqrt{\cos 2 \theta}$ and using Eq. (12.27), express the radial and transverse components of the velocity $\mathbf{v}$ of the particle as functions of $\theta$.

Solution

Verified$\textbf{Knowns}$:

A particle of mass m is projected from Point A with an initial velocity $v_o$ perpendicular to line OA and moves under a central force F directed away from the center of force O.

Knowing that the particle follows a path defined by the equation $r = \dfrac{r_o}{\sqrt{\cos{2\theta}}}$ and using Eq. (12.25)

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