MHT CET · Physics · Rotational Motion
A uniform rod of length ‘ ’ and mass ‘ ’ is pivoted at its centre ‘ ’. Two masses ‘ ’ and ‘ ’ with speed and 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 ‘ ’, then ‘ ’ will be.
- A
- B Zero
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
From angular momentum conservation:
\((2 m v) L +m(2 v)(2 L)={(\frac{8 m(6 L)}{12}^2}^2+2 m L^2+\) \(m(2 L)^2) \omega\)
\(\Rightarrow \omega=\frac{v}{5 L}\)
\((2 m v) L +m(2 v)(2 L)={(\frac{8 m(6 L)}{12}^2}^2+2 m L^2+\) \(m(2 L)^2) \omega\)
\(\Rightarrow \omega=\frac{v}{5 L}\)
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