Question:
A uniform rod of length $'6L'$ and mass $'8 \,m'$ is pivoted at its centre $'C'$. Two masses $'m'$ and $'2m'$ with speed $2v$, $v$ as shown strikes the rod and stick to the rod. Initially the rod is at rest. Due to impact, if it rotates with angular velocity $'\omega'$ then $'\omega'$ will be
A uniform rod of length $'6L'$ and mass $'8 \,m'$ is pivoted at its centre $'C'$. Two masses $'m'$ and $'2m'$ with speed $2v$, $v$ as shown strikes the rod and stick to the rod. Initially the rod is at rest. Due to impact, if it rotates with angular velocity $'\omega'$ then $'\omega'$ will be
Updated On: Jul 13, 2024
- $\frac{v}{5L}$
- zero
- $\frac{8v}{6L}$
- $\frac{11v}{3L}$
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The Correct Option is A
Solution and Explanation
A rod of length 6Land mass 8mis given in figure,
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.