Physics · Mechanics & Oscillations
A uniform thin rigid rod of mass M is supported by two rapidly rotating rollers whose axes are separated by a distance a. In the reversed configuration of rotation, the friction forces act in such a way that the motion is not simple harmonic. If x(t) denotes the displacement of the centre of the rod from roller 1, and the initial conditions are x(0) = x0 and (dx/dt)t=0 = 0, then the correct expression for x(t) is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x(t) = (x0 + a2) sinh[√(2μga) t] - a2
- 2x(t) = x0 cosh[√(μga) t]
- 3x(t) = (x0 - a2) cos[√(2μga) t] + a2
- 4x(t) = (x0 - a2) cosh[√(2μga) t] + a2✓
Correct answer
x(t) = (x0 - a2) cosh[√(2μga) t] + a2
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