Dancing wire

In the circuit above, wire ABAB has length 40 cm40\text{ cm} and resistance per unit length 0.5 Ω/cm\SI[per-mode=symbol]{0.5}{\ohm\per\centi\meter}. The voltmeter is ideal.

If we want to make the reading in the voltmeter vary with time as V(t)=2sin(πt) V, V(t) = 2 \sin(\pi t) \ \si{\volt}, then what should be the velocity of the contact (the arrow-tipped end of the wire above) as a function of time?

If the velocity can be expressed as Asin(ωt+ϕ) cms1,A\sin(\omega t+\phi) \text{ cm}\,\text{s}^{-1}, where 0<ϕ<π0<\phi<\pi , then enter the value of Aωϕ \dfrac A{\omega- \phi} .

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