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A uniform disc is spun with an angular v...

A uniform disc is spun with an angular velocity `omega` and simultaneously projected with a linear velocity `v` towards left on a plank, while the plank moves towards right with a constant velocity `2v`. If the disc rolls without sliding on the plank just after its spinning, find the magnitude of `vecomega`. (Take `v = 3 ms^(-1),R=1m`)

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