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# (8 points) (Try 9.31 too for extra practice) A thin uniform rod of mass M and length L is bent at its center so that the two segments are now making...

I am trying to calculate these problems on moment of inertia, and I am having some difficulty.

2. (8 points) (Try 9.31 too for extra practice) A thin uniform rod of mass M and length L is
bent at its center so that the two segments are now making a 60° angle with each other. Find the
moment of inertia about an axis perpendicular to its plane and passing through (a) the point
where the two segments meet and (b) the midpoint of the line connecting the two ends.

3. (6 pts) (Essentially 9.80) In the following system, the
cylinder and the pulley (also a solid cylinder) turn without
friction about stationary horizontal axles that pass through
their centers. A light rope is wrapped around the cylinder,
passes over the pulley, and has a box, m3, suspended
from its free end. There is no slipping between the rope
and the pulley surface. The uniform cylinder has mass me
and radius RC. The pulley is a uniform disk with mass
mp and radius RP. The box is released from rest and descends as the rope unwraps from the
cylinder. Find an expression for Vf, the speed of the box when it has fallen a distance d in
terms ofthe masses. the radii- 0’. and/or 9. Cylinder

l. (6 points) (See also 9.9-9.1?) A wheel is turning about an axis through its center with
constant angular aeeeleratien. Starting from rest= at r = I], the wheel turns thraugh 8.211]
revalutiana in 12.13 a. At t = 172.193 the kinetic energy ofthe wheel i3 36.0 J. For an axis
threugh its center, what is the moment ef inertia ef the wheel?

3- shown in explanation. 2-... View the full answer

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