What is the moment of inertia I of this assembly about the axis through which it is pivoted? Express the moment of…

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lyytutoriaExpert

Asked: April 13, 20222022-04-13T09:06:10+00:00 2022-04-13T09:06:10+00:00In: Physics

What is the moment of inertia I of this assembly about the axis through which it is pivoted? Express the moment of…

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Figure 1) The figure shows a simple model of a seesaw. These consist of a plank/rod of mass m_r, and length 2x allowed to pivot freely about its center (or central axis), as shown in the diagram. A small sphere of mass m_₁ is attached to the left end of the rod, and a small sphere of mass m₂ is attached to the right end. The spheres are small enough that they can be considered point particles. The gravitational force acts downward. The magnitude of the acceleration due to gravity is equal to g.

What is the moment of inertia I of this assembly about the axis through which it is pivoted?

Express the moment of inertia in terms of mr(mass of rod), m₁,m₂, and x. Keep in mind the length of the rod is 2x, not x.

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What%20is%20the%20moment%20of%20inertia%20I%20of%20this%20assembly%20about%20the%20axis%20through%20which%20it%20is%20pivoted?%20Express%20the%20moment%20of...

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♦ Relevant knowledge

A seesaw is an enjoyable instrument that is suitable for kids and adults and is comprised of a single rod or plank, which is pivotal around its midpoint. The riders are seated on either side of the rod, and then swing between them.

In its simplest form, an a-seamsaw with riders could be described as a single rod that is pivotally positioned around its center with mass points positioned around its ends.
In the moment of inertia in the seesaw is calculated by using the equation I=I₁+I₂+I₃+ …. in to calculate Moment of Inertia for the system of objects that are centered around an the axis of rotation. The terms I₁, I₂,… I_n refer to the moment of inertia that occurs for different elements in the rigid system around the common axis for roatation.