Question:
A rod of mass π, length πΏ and non-uniform mass per unit length \(Ξ»(x)=\frac{3Mx^2}{L^3},\) is held horizontally by a pivot, as shown in the figure, and is free to move in the plane of the figure. For this rod, which of the following statements are true?
A rod of mass π, length πΏ and non-uniform mass per unit length \(Ξ»(x)=\frac{3Mx^2}{L^3},\) is held horizontally by a pivot, as shown in the figure, and is free to move in the plane of the figure. For this rod, which of the following statements are true?
Updated On: Oct 1, 2024
- Moment of inertia of the rod about an axis passing through the pivot is \(\frac{3}{5} \) ππΏ2
- Moment of inertia of the rod about an axis passing through the pivot is \(\frac{1}{3}\) ML2
- Torque on the rod about the pivot i \(\frac{3}{4}\) MgL
- If the rod is released, the point at a distance\(\frac{2L}{3}\) from the pivot will fall with acceleration g
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The Correct Option is A, C
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The correct options are: A and C
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