Solution Found!
The space satellite has a mass of 125 kg and a moment of inertia Iz = 0.940 kg # m2
Chapter 19, Problem 19-70(choose chapter or problem)
The space satellite has a mass of 125 kg and a moment of inertia \(I_z = 0.940\ kg \cdot m^2\), excluding the four solar panels A, B, C, and D. Each solar panel has a mass of 20 kg and can be approximated as a thin plate. If the satellite is originally spinning about the z axis at a constant rate \(\omega_z = 0.5\ rad/s\) when \(\theta = 90^{\circ}\), determine the rate of spin if all the panels are raised and reach the upward position, \(\theta = 0^{\circ}\), at the same instant.
Questions & Answers
QUESTION:
The space satellite has a mass of 125 kg and a moment of inertia \(I_z = 0.940\ kg \cdot m^2\), excluding the four solar panels A, B, C, and D. Each solar panel has a mass of 20 kg and can be approximated as a thin plate. If the satellite is originally spinning about the z axis at a constant rate \(\omega_z = 0.5\ rad/s\) when \(\theta = 90^{\circ}\), determine the rate of spin if all the panels are raised and reach the upward position, \(\theta = 0^{\circ}\), at the same instant.
ANSWER:
Problem 19-70
The space satellite has a mass of 125 kg and a moment of inertia Iz = 0.940 kg # m2 , excluding the four solar panels A, B, C, and D. Each solar panel has a mass of 20 kg and can be approximated as a thin plate. If the satellite is originally spinning about the z axis at a constant rate vz = 0.5 rad>s when u = 90, determine the rate of spin if all the panels are raised and reach the upward position, u = 0, at the same instant.
Step by Step Solution
Step 1 of 5
Refer to the free body diagram below.
