Question

A solid disk of mass m_{1} = 9.3 kg and radius R = 0.21
m is rotating with a constant angular velocity of ω = 30 rad/s. A
thin rectangular rod with mass m_{2} = 3.8 kg and length L
= 2R = 0.42 m begins at rest above the disk and is dropped on the
disk where it begins to spin with the disk.

1)

What is the initial angular momentum of the rod and disk system?

2)

What is the initial rotational energy of the rod and disk system?

3)

What is the final angular velocity of the disk?

4)

What is the final angular momentum of the rod and disk system?

5)

What is the final rotational energy of the rod and disk system?

6)

The rod took t = 6.3 s to accelerate to its final angular speed with the disk. What average torque was exerted on the rod by the disk?

Answer #1

A solid disk of mass m1 = 9.8 kg and radius R = 0.25 m is
rotating with a constant angular velocity of ω = 30 rad/s. A thin
rectangular rod with mass m2 = 3.9 kg and length L = 2R = 0.5 m
begins at rest above the disk and is dropped on the disk where it
begins to spin with the disk.
1)What is the initial angular momentum of the rod and disk
system?
2)What is the...

A solid disk of mass m1 = 9.5 kg and radius R = 0.19
m is rotating with a constant angular velocity of ω = 30 rad/s. A
thin rectangular rod with mass m2 = 3.3 kg and length L
= 2R = 0.38 m begins at rest above the disk and is dropped on the
disk where it begins to spin with the disk.
1) What is the initial angular momentum of the rod and disk
system?
2) What...

A solid disk of mass m1 = 9.5 kg and radius R = 0.19
m is rotating with a constant angular velocity of ω = 30 rad/s. A
thin rectangular rod with mass m2 = 3.3 kg and length L
= 2R = 0.38 m begins at rest above the disk and is dropped on the
disk where it begins to spin with the disk.
5) What is the final rotational energy of the rod and disk
system?

A solid disk of mass m1 = 9 kg and radius R = 0.23 m
is rotating with a constant angular velocity of ω = 39 rad/s. A
thin rectangular rod with mass m2 = 3.3 kg and length L
= 2R = 0.46 m begins at rest above the disk and is dropped on the
disk where it begins to spin with the disk.
6)
The rod took t = 5.4 s to accelerate to its final angular speed...

A disk with mass m = 10.3 kg and radius R = 0.34 m begins at
rest and accelerates uniformly for t = 16.8 s, to a final angular
speed of ω = 26 rad/s.
1)
What is the angular acceleration of the disk?
rad/s2
2)
What is the angular displacement over the 16.8 s?
rad
3)
What is the moment of inertia of the disk?
kg-m2
4)
What is the change in rotational energy of the disk?
J
5)...

A disk with mass m = 8.5 kg and radius R = 0.35 m begins at rest
and accelerates uniformly for t = 18.9 s, to a final angular speed
of ? = 29 rad/s.
a) What is the angular acceleration of the disk?
b) What is the angular displacement over the 18.9 s?
c) What is the moment of inertia of the disk?
d) What is the change in rotational energy of the disk?
e) What is the tangential...

A disk with mass m = 9.5 kg and radius R = 0.3 m begins at rest
and accelerates uniformly for t = 18 s, to a final angular speed of
ω = 28 rad/s.
A)What is the angular acceleration of the disk?
B)What is the angular displacement over the 18 s?
C)What is the moment of inertia of the disk?
D)What is the change in rotational energy of the disk?
E)What is the tangential component of the acceleration of...

A disk with mass m = 6.3 kg and radius R = 0.46 m hangs from a
rope attached to the ceiling. The disk spins on its axis at a
distance r = 1.53 m from the rope and at a frequency f = 19.7 rev/s
(with a direction shown by the arrow).
1)
What is the magnitude of the angular momentum of the spinning
disk?
kg-m2/s
2)
What is the torque due to gravity on the disk?
N-m
3)...

A solid 2.25 kg disk is initially spinning with an angular
velocity of ωi = <0, 0, 3.0> s −1 . A
constant torque is applied for 3.0 s, increasing its angular
velocity to ωf = <0, 0, 6.0> s −1 .
(a) What is the change in the rotational kinetic energy of the
disk?
(b) What torque was applied in order to accelerate the disk?

A small 0.500 kg disk--it is small enough to be modelled as a
point-mass--collides with and sticks to one end of a long thin rod
of mall 1.50 kg. The other end of the rod is fixed, and the pair
lie on a frictionless table. The disk is initially at rest, and the
rod is moving with an initial angular speed of 4.00 rad/s.
**SHOW WORK PLEASE**
(a) If the rod is 1.00 m long, what is its moment of...

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