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Question: Question 2 Write down the equations of motion of a bead on a wheel: (a) from the frame of the whe...

Question 2

Write down the equations of motion of a bead on a wheel:

(a) from the frame of the wheel

(b) from the frame of the ground

(c) Write the equations of motion of a charged particle q in a static electric field that is orthogonal to a magnetic field. Recall: F = q(E + V x B) Lorentz force law. Hint: mimic the derivation for a charged particle in a magnetic field. You should get x'' = -\omega2x + \omega 2(E/B)t which has the solution x(t) = A1cos\omegat + A2sin\omegat + (E/B)t

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