Inertia, rigid body motion and angular momentum problem

In summary, a uniform thin rod of weight W is supported horizontally by two vertical props at its ends. When one support is kicked out at t=0, the force on the other support can be found using the equation I=M(L^2)/12 and determining the location of the unknown force.
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raphre
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1. A uniform thin rod of weight W is supported horizontally by two vertical props
at its ends. At t=0 one of these supports is kicked out. Find the force on the other
support immediately thereafter - it should be in terms of W.



2. Homework Equations : I=M(L^2)/12



3. Don't even know how to start setting up the problem...
 
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FAQ: Inertia, rigid body motion and angular momentum problem

What is inertia and how does it affect motion?

Inertia is the tendency of an object to resist changes in its state of motion. This means that an object at rest will remain at rest and an object in motion will continue in a straight line at a constant speed unless acted upon by an external force. The mass of an object affects its inertia, with larger objects having more inertia.

How does a rigid body move?

A rigid body is an object that maintains its shape and size even when subjected to external forces. The motion of a rigid body is described by its linear and angular velocities, which determine how the body moves and rotates in space. The motion of a rigid body can also be affected by external forces, such as friction or gravity.

What is the difference between rotational and translational motion?

Rotational motion refers to the movement of an object around an axis, while translational motion refers to the linear movement of an object in a straight line. In rotational motion, the distance between different points on the object from the axis of rotation remains the same, while in translational motion, the distance between different points on the object changes.

How is angular momentum conserved in a system?

Angular momentum is the measure of an object's tendency to continue rotating around an axis. In a closed system, where no external forces are acting, angular momentum is conserved. This means that the total angular momentum of the system remains constant, even if individual objects within the system may experience changes in their angular momentum.

How does the distribution of mass affect angular momentum?

The distribution of mass in an object affects its angular momentum by altering the object's moment of inertia. Moment of inertia is a measure of how difficult it is to change an object's rotational motion. If the mass is distributed closer to the axis of rotation, the moment of inertia is smaller and thus the object will have a higher angular momentum. Conversely, if the mass is distributed further from the axis of rotation, the moment of inertia is larger and the object will have a lower angular momentum.

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