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Bobby has a simple pendulum system with a ball of mass M at the end of a string of length L. He also has a similar system consisting of a uniform rod of mass M and length L. To study the dynamics of the system, Bobby displaces both the rod and ball with the same angle and let's them go without a push. What is true about these two systems?
1. They are exactly the same.
2. The rod oscillates faster.
3. The bob and string system oscillates faster.
4. The rod has more total energy.
5. The pendulum ball and string has more total energy
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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