If the cord is subjected to a horizontal force of P = 150 N, and gear is supported by a...

If the cord is subjected to a horizontal force of P = 150 N, and gear is supported by a fixed pin at O, determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s, starting from rest. The mass of the gear is 50 kg and it has a radius of gyration of k_O = 125 mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth.