Question

A uniform, 0.0350 kg rod of length 0.450 m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.0200 kg, are mounted so that they can slide without friction along the rod. They are initially held by catches at positions 0.0550 m on each side of the center of the rod, and the system is rotating at 48.0 rev/min. With no other changes in the system, the catches are released, and the rings slide outward along the rod and fly off at the ends.

PART A:

What is the angular speed of the system at the instant when the rings reach the ends of the rod? Express your answer in revolutions per minute.

PART B:

What is the angular speed of the rod after the rings leave it? Express your answer in revolutions per minute.

Answer #1

A uniform rod of mass 3.40×10−2 kg and length 0.410 m
rotates in a horizontal plane about a fixed axis through its center
and perpendicular to the rod. Two small rings, each with mass 0.190
kg , are mounted so that they can slide along the rod. They are
initially held by catches at positions a distance
5.50×10−2 m on each side from the center of the rod, and
the system is rotating at an angular velocity 28.0 rev/min ....

A uniform rod of mass 3.45×10−2 kgkg and length 0.360
mm rotates in a horizontal plane about a fixed axis through its
center and perpendicular to the rod. Two small rings, each with
mass 0.250 kgkg , are mounted so that they can slide along the rod.
They are initially held by catches at positions a distance
4.80×10−2 mm on each side from the center of the rod,
and the system is rotating at an angular velocity 28.0
rev/minrev/min ....

A uniform wire of mass M and length d rotates in a horizontal
plane about an axis passing through its center. Two small beads,
each of mass m, are placed on the wire; friction between the beads
and the wire is negligible. The beads are initially held on the
wire by catches at a distance d/4 on either side of the center, and
the system rotates with angular speed ω0. The catches are then
released, and the beads slide outward...

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m/s?

A rod of length 10 m rotates about an axis perpendicular to its
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Particles m_1 (mass=6.30 kg) and m_2 (mass=2.20 kg) are attached at
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A rod of length l=1.1m and mass M= 5.5kg joins two particles
with masses m1 =4.8kg and m2 = 2.8kg, at its ends. The combination
rotates in the xy-plane about a pivot through the center of the rod
with the linear speed of the masses of v= 3.5 m/s. (Moment of
inertia of a uniform rod rotating about its center of mass I= 1 12
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A rod of length l=2.2m and mass M= 9.7kg joins two particles
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a) Calculate the total moment of inertia of the system
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