A conical pendulum consists of a mass M suspended from a strong string of length l . The…
Physics · JEE Advanced · NTA Exams — Rotational Motion
A conical pendulum consists of a mass M suspended from a strong string of length l. The mass executes a circle of radius R in a horizontal plane with speed v. At time t, the mass is at position \(\hat{R i}\) and has \(\hat{v j}\) velocity. At time t, the angular momentum vector of mass M about the point from which the string passes on the ceiling is
- \(M v R \hat{k}\)
- \(M(y, \hat{k}\)
- \(M v \ell\left[\sqrt{\frac{\ell^{2}-R^{2}}{\ell}} \hat{i}+\frac{R}{\ell} \hat{k}\right]\)
- \(-M v \ell\left[\sqrt{\frac{\ell^{2}-R^{2}}{\ell}} \hat{i}+\frac{R}{\ell} \hat{k}\right]\)
Answer
(C) M v [ ^ 2 -R^ 2 i + R k ]
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