A cart rolls down a plane with initial velocity, v0 = 4 m/s without sliding or s

Question

A cart rolls down a plane with initial velocity, v0 = 4 m/s without sliding or slipping. A constant force P = 10N is placed on the outcome of the pulley system at time t = 0, as shown. The weight of the car is W = 150 kg and for simplicity let g = 10 m/s2. Draw the free body diagram of the cart including all forces. At what time t2 does the cart reverse direction (stop rolling down the inclined slope)? What is the velocity of the cart at t2 = 8 sees (including direction)? What are the reaction loads N1 and N2 at the cart wheels where they contact the slope? Hints: choose a reference frame parallel and normal to the slope; use impulse-momentum

Explanation / Answer

the rope system exerts a net 2p = 20 N force on the cart time when it changes dirn : net force on the cart = 1500 sin 30 - 20

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