Physics · Classical Mechanics
Consider a massless infinite straight wire with one end fixed at the origin O. Assume that the wire is rotating in a plane about the point O with a constant angular velocity ω. Consider a bead of mass m sliding along the wire in the absence of external forces. Let r(t) denote the distance of the bead from O at time t ≥ 0, with initial condition drdt(0) = 0 and r(0) > 0. Then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1dr(t)dt changes its sign for some t > 0
- 2r(t) is a constant function
- 3r(t) → 0 as t → ∞
- 4There exist M > 0 and α > 0 such that r(t) > Meαt for t > 0✓
Correct answer
There exist M > 0 and α > 0 such that r(t) > Meαt for t > 0
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