a-uniform-thin-bar-with-a-mass-of-mb-and-length-of-lb-is-positioned-along-the-y-

Question

A uniform thin bar with a mass of m_b and length of l_b is positioned along the y-axis. The bar is capable of rotating around an axis that passes through a point a distance of b away from one of its extremities. Determine the moment of inertia of the bar relative to this axis.

Accepted Answer

(M/3l_b)[(l_b-b)³+b³]

Answer

(M/2)(l_b+b)²

Answer

(M/2l_b)(l_b-b)³

Answer

(M/7l_b)[l_b³+b³]

A uniform thin bar with a mass of mb and length of lb is positioned along the y-axis. The bar is capable of rotating around an axis that passes through a point a distance of b away from one of its extremities. Determine the moment of inertia of the bar relative to this axis.

A uniform thin bar with a mass of m_b and length of l_b is positioned along the y-axis. The bar is capable of rotating around an axis that passes through a point a distance of b away from one of its extremities. Determine the moment of inertia of the bar relative to this axis.