Fundamentals of Physics 10e. Chapter 11 Problem 50. See below. The Chegg solutio

Question

Fundamentals of Physics 10e. Chapter 11 Problem 50. See below. The Chegg solution says that due to Conservation of Angular Momentum that the angular momemtum of the motor (Lm) equals the angular momemetum of the probe (Lp). Given the definition of Conservation of Angular Momentum is "L initial = L final" I am have having trouble understanding why the solution assumes Lm=Lp..   Can you please explain why Lm=Lp in the context of L initial = L final? I understand the rest of the solution.

Note: This is the second time I asked this question. The first respondent pointed out that L= I*w and then made an argument that "w" was the same for the probe and the motor since they were on the same axis. This makes no sense to me since Lm cannot equal Lp if "w" is the same for the probe and the motor and the rotational inertia are not equal as stated in the problem.

50P. The rotor of an electric motor has rotational inertia Im = 2.0 x 10^-3 kg m2 about is central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor axis is mounted along the central axis of the probe; the probe has rotational inertia Ip = 12 kg m2 about this axis. Calculate the number of revolutions of the rotor required to turn the probe 30 degrees about its central axis..

Explanation / Answer

According to the problem,

Here the intial angular momentum is of motot only, where probe`s angular momentum is zero and thus its totally conerved in to the angular momentum of the probe after wards.

i.e angular momentum of motor is conserved in changeing the angular momentum of the probe.

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