A uniform triangle of side length $l$ ,and mass $M$ is rotating about an axis (passing through its one of side) with angular velocity $ω$ then its angular momentum is given as $\frac{M l^{2}}{k} ω$ then the value of k is

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Solution

MOI of triangle about its side
$\Rightarrow \frac{m l^{2}}{8} L = I ω = \frac{m l^{2}}{8} = \frac{m l^{2}}{k} ω k = 8$

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A uniform triangle of side length l,and mass M is rotating about an axis (passing through its one of side) with angular velocity ω then its angular momentum is given as Ml2kω then the value of k is

MOI of triangle about its side⇒ml28L=Iω=ml28=ml2kωk=8

A uniform triangle of side length $l$ ,and mass $M$ is rotating about an axis (passing through its one of side) with angular velocity $ω$ then its angular momentum is given as $\frac{M l^{2}}{k} ω$ then the value of k is

MOI of triangle about its side
$\Rightarrow \frac{m l^{2}}{8} L = I ω = \frac{m l^{2}}{8} = \frac{m l^{2}}{k} ω k = 8$