Consider a system composed of three masses connected by light rigid rods. The first mass (\(m_1 = 3.00\) kg) is positioned 2.75 meters along the y-axis. The second mass (\(m_2 = 4.00\) kg) is situated 2.50 meters along the x-axis. The third mass (\(m_3 = 2.50\) kg) is located at the coordinates (-4.00, -3.30) meters. This third mass is connected to the first and second masses such that the system's center of mass is at the origin. The entire system rotates around the origin. A constant force with a magnitude of 2.9 N is applied to the left on \(m_1\), and a force of 9.7 N is applied downwards on \(m_2\). What is the

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section10.3: Center Of Mass Revisited
Problem 10.2CE
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Consider a system composed of three masses connected by light rigid rods. The first mass (\(m_1 = 3.00\) kg) is positioned 2.75 meters along the y-axis. The second mass (\(m_2 = 4.00\) kg) is situated 2.50 meters along the x-axis. The third mass (\(m_3 = 2.50\) kg) is located at the coordinates (-4.00, -3.30) meters. This third mass is connected to the first and second masses such that the system's center of mass is at the origin.

The entire system rotates around the origin. A constant force with a magnitude of 2.9 N is applied to the left on \(m_1\), and a force of 9.7 N is applied downwards on \(m_2\).

What is the resultant angular acceleration of the system about the origin, considering positive angular acceleration out of the page?

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