A uniform circular disc of mass m = 12 kgslides down along a smooth frictionlesshill, which ends in a horizontal planewithout break. The disc is released fromrest at a height of h = 1.25 m with zeroinitial velocity and zero angular velocityand rides on the top of a cart of mass M =6 kg, which can move on a frictionlesssurface. The coefficient of kinetic frictionbetween the cart and the disc is u = 0.4.Find the minimum length of the cart sothat the disc begins to roll without slippingbefore loosing contact with the cart.
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