The cart carries a pile of open-link chain of mass ρ per unit length. The chain passes f...

The cart carries a pile of open-link chain of mass ρ per unit length. The chain passes freely through the hole in the cart and is brought to rest, link by link, by the tension T in the portion of the chain resting on the ground and secured at its end A. The cart and the chain on it move under the action of the constant force P and have a velocity v₀ and mass m₀ when x = 0. Determine expressions for the acceleration a and velocity v of the cart in terms of x if all friction is neglected. Also find T. Observe that the transition link 2 is decelerated from the velocity v to zero velocity by the tension T transmitted by the last horizontal link 1. Also note that link 2 exerts no force on the following link 3 during the transition. Explain why the term is absent if Eq. 4/20 is applied to this problem.