Center of Mass & Simple Balance Video Lessons

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Problem: A non-uniform beam with a mass 3 M and length L is in stable equilibrium when placed at the edge of a table with half its length sticking off the table edge. But when a pointlike mass M is placed at the far end of the part of the beam off the table, the beam is brought to unstable equilibrium; i.e., it is right on the verge of tipping off the table.  At what distance to the left of the table edge is the center of mass of the beam located?

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Problem Details

A non-uniform beam with a mass 3 M and length L is in stable equilibrium when placed at the edge of a table with half its length sticking off the table edge. But when a pointlike mass M is placed at the far end of the part of the beam off the table, the beam is brought to unstable equilibrium; i.e., it is right on the verge of tipping off the table. 

At what distance to the left of the table edge is the center of mass of the beam located?

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Our tutors have indicated that to solve this problem you will need to apply the Center of Mass & Simple Balance concept. You can view video lessons to learn Center of Mass & Simple Balance. Or if you need more Center of Mass & Simple Balance practice, you can also practice Center of Mass & Simple Balance practice problems.

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Based on our data, we think this problem is relevant for Professor Tsen's class at ASU.