A uniform disc of mass m = 12 kg slides down along smooth, frictionless hill, which ends in a horizontal plane without break. The disc is released from rest at a height of h = 1.25 m (it has no initia

Question

A uniform disc of mass m = 12 kg slides down along smooth, frictionless hill, which ends in a horizontal plane without break. The disc is released from rest at a height of h = 1.25 m (it has no initial speed and it does not rotate), and lands on the top of a cart of mass M = 6 kg , which can move on a frictionless surface. The coefficient of kinetic friction between the cart and the disc is μ = 0.4 . Find minimum length of the cart (in m ) so that the disc

TestHub · Accepted Answer

The disc enters with speed 5 m/s. Using frictional translation, rotation and cart acceleration until v=ωR gives relative travel 7/4 m.

Physics - Rotation Question with Solution | TestHub

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