Question

A cylindrical rod of length 2.0 m, radius 0.5 m, and mass 1.5 kg
has two spheres attached on its ends. The centers of the spheres
are 1.0 m from the center of the rod. The mass of each sphere is
0.66 kg. The rod is capable of rotating about an axis passing
through its center and perpendicular to the plane of the page, but
the set up is stationary to begin with. A small mass of value 0.19
kgmoving with a velocity * v* = 2.5 m/s strikes the
bottom mass of the dumbbell and sticks to it. At the same instant,
a second mass of equal value but moving with twice the velocity
strikes the top mass of the dumbbell and sticks to it. The entire
system starts to rotate. Determine the magnitude and direction of
the angular velocity of the system after the collision. Treat the
two moving masses and the masses at the end of the rod like point
particles.

Magnitude:

Direction:

Answer #1

The uniform thin rod in the figure below has mass M =
2.00 kg and length L = 2.87 m and is free to rotate on a
frictionless pin. At the instant the rod is released from rest in
the horizontal position, find the magnitude of the rod's angular
acceleration, the tangential acceleration of the rod's center of
mass, and the tangential acceleration of the rod's free end.
HINT
An illustration shows the horizontal initial position and
vertical final position...

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8%)
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