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Q. No.A uniform rod of mass \(M\) and length \(L\) lies at rest on a smooth horizontal plane, as shown in the figure. A particle of mass \(m,\) moving with an initial velocity \(u\) strikes one end \((A)\) of the rod and stops. The initial velocity \(u\) is perpendicular to the length \((AB)\) of the rod.
Consider the following statements:
Choose the correct option from the given ones:
Consider the following statements:
| (P) | The momentum of the system is conserved. |
| (Q) | The kinetic energy of the system does not change after the collision. |
| (R) | The angular momentum of the system is conserved. |
Choose the correct option from the given ones:
| 1. | P, Q, and R are true. |
| 2. | P and R are true. |
| 3. | Only R is true. |
| 4. | Only P is true. |
Subtopic: Â Angular Momentum |
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A solid cylinder of mass \(m\) and radius \(R\) is rolling with angular velocity \(\omega\) rad/s on a rough, horizontal surface. The magnitude of angular momentum about the origin is:
\(1.~ \frac{m R^{2} \omega}{2}\\ 2.~ \frac{3 m R^{2} \omega}{2}\\ 3.~ \frac{2 m R^{2} \omega}{3}\\ 4.~ \frac{m R^{2} \omega}{4}\\\)
\(1.~ \frac{m R^{2} \omega}{2}\\ 2.~ \frac{3 m R^{2} \omega}{2}\\ 3.~ \frac{2 m R^{2} \omega}{3}\\ 4.~ \frac{m R^{2} \omega}{4}\\\)
Subtopic: Â Angular Momentum |
 50%
From NCERT
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