In the image below, three particles of mass m are fastened to three rods of leng

Question

In the image below, three particles of mass m are fastened to three rods of length d and negligible mass. The rigid assembly rotates around point O at angular speed ?. (Use any variable or symbol stated above as necessary.)

In the image below, three particles of mass m are fastened to three rods of length d and negligible mass. The rigid assembly rotates around point O at angular speed ?. (Use any variable or symbol stated above as necessary.) What is the rotational inertia of the combination relative to point O? What is the angular momentum of the middle particle relative to point O? L = What is the total angular momentum of the three particles relative to point O? L =

Explanation / Answer

a)the rods being of negligible mass do not contribute to the moment of inertia, only the particles do.
I(combination about O) = md^2+m(2d)^2 +m(3d)^2
= 14md^2.
b) L(middle particle) = m(2d)^2(?)=4md^2?
c) L(total)= m((d)^2)+(2d)^2+(3d)^2)?.= 14md^2?.

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