Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.
A ruler is exactly L = 6 inches long. It has a linear mass density which increases from one end of the ruler to the other:
60 g/inch for the first inch 70 g/inch for the second inch 80 g/inch for the third inch 90 g/inch for the fourth inch 100 g/inch for the fifth inch 110 g/inch for the sixth inch
Q: What is the total mass of this ruler?
Now, let's consider one little piece of this ruler: I'll mark it with a red box.
Q: What is the mass of this little piece?
Q: What is the contribution of this little piece
to the equation for center of mass?
Q: What is the location of the center
of mass of the ruler in the horizontal direction?
The answers
Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.