## Related questions with answers

Question

The slender rod of mass m and length l rotates about the y-axis as the element of a right-circular cone. If the angular velocity about the y-axis is $\omega$, determine the expression for the angular momentum of the rod with respect to the x-y-z axes for the particular position.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5Since the rod rotates about the $y-$axis at the rate $\omega_y=\omega\;\&\;\omega_x=\omega_z=0$, thus referring to equation (7-11) the angular momentum about the origin $O$ is

$\begin{align*} H_O&=(-I_{xy}\;\omega_y)\;\textbf{i}+(I_{yy}\;\omega_y)\;\textbf{j}-(I_{yz}\;\omega_y)\;\textbf{k}\\ \end{align*}$

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