5. A collection of point masses is attached by two horizontal rods and one vertical rod as illustrated below. The rods are all massless.. Find the moment of inertia about the upper horizontal rod for m = 2.3 kilograms and L = 1.2 meters. m 2m L/3 2m m L/2

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**Problem 5**

A collection of point masses is attached by two horizontal rods and one vertical rod as illustrated below. The rods are all massless. Find the moment of inertia about the upper horizontal rod for \( m = 2.3 \) kilograms and \( L = 1.2 \) meters.

![Diagram]
- The diagram shows a system of masses attached to rods.
- There is an upper horizontal rod with length \(L\).
- A mass \(m\) is attached on the left end of the upper rod.
- A mass \(2m\) is attached on the right end of the upper rod.
- From the mass \(m\) on the left end, a vertical rod of length \(L/3\) extends downward.
- From the end of this vertical rod, a mass \(2m\) is attached.
- From the mass \(2m\) on the right end of the upper rod, another horizontal rod of length \(L/2\) extends to the left.
- At the end of this horizontal rod, another mass \(m\) is attached.

Given data:
- \( m = 2.3 \) kilograms
- \( L = 1.2 \) meters

Find the moment of inertia about the upper horizontal rod.
Transcribed Image Text:**Problem 5** A collection of point masses is attached by two horizontal rods and one vertical rod as illustrated below. The rods are all massless. Find the moment of inertia about the upper horizontal rod for \( m = 2.3 \) kilograms and \( L = 1.2 \) meters. ![Diagram] - The diagram shows a system of masses attached to rods. - There is an upper horizontal rod with length \(L\). - A mass \(m\) is attached on the left end of the upper rod. - A mass \(2m\) is attached on the right end of the upper rod. - From the mass \(m\) on the left end, a vertical rod of length \(L/3\) extends downward. - From the end of this vertical rod, a mass \(2m\) is attached. - From the mass \(2m\) on the right end of the upper rod, another horizontal rod of length \(L/2\) extends to the left. - At the end of this horizontal rod, another mass \(m\) is attached. Given data: - \( m = 2.3 \) kilograms - \( L = 1.2 \) meters Find the moment of inertia about the upper horizontal rod.
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