1. A system comprised of a solid disk and thin rod is shown below: -6 0 -4 -2 6 4 2 -2 -4 -6 2 F(t = 0) 4 The axes are in units of meters. Suppose the system is rotating around origin in a counterclockwise direction. Suppose further that the disk has mass density pd = 10 kg/m² and the rod has mass density pr 20 kg/m. = = 6 (a) What is the rotational inertia of the system? At time t = 0, the system is rotating with angular speed wi a force (green arrow in figure) = 5 rad/s and is applied at the left end of the rod. As time passes, F has the same magnitude and maintains a fixed angle with the rod. (b) At what time is the system stationary? = 0) when it reaches twice (c) How much has the system rotated (from t its original angular speed?

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1. A system comprised of a solid disk and thin rod is shown below:
-6
0
-4 -2
6
6
4
2
-2
-4
-6
2
F(t = 0) =
=
4
The axes are in units of meters. Suppose the system is rotating around
origin in a counterclockwise direction. Suppose further that the disk has
mass density Pa 10 kg/m² and the rod has mass density pr 20 kg/m.
2
=
is applied at the left end of the rod.
magnitude and maintains a fixed angle
(a) What is the rotational inertia of the system?
At time t = 0, the system is rotating with angular speed wi
a force (green arrow in figure)
6
3
[³N]
4
As time passes,
with the rod.
=
=
5 rad/s and
F has the same
(b) At what time is the system stationary?
(c) How much has the system rotated (from t = 0) when it reaches twice
its original angular speed?
Transcribed Image Text:1. A system comprised of a solid disk and thin rod is shown below: -6 0 -4 -2 6 6 4 2 -2 -4 -6 2 F(t = 0) = = 4 The axes are in units of meters. Suppose the system is rotating around origin in a counterclockwise direction. Suppose further that the disk has mass density Pa 10 kg/m² and the rod has mass density pr 20 kg/m. 2 = is applied at the left end of the rod. magnitude and maintains a fixed angle (a) What is the rotational inertia of the system? At time t = 0, the system is rotating with angular speed wi a force (green arrow in figure) 6 3 [³N] 4 As time passes, with the rod. = = 5 rad/s and F has the same (b) At what time is the system stationary? (c) How much has the system rotated (from t = 0) when it reaches twice its original angular speed?
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