The 130-kg crate shown is on a smooth horizontal plane and has an initial velocity of 3 m/s. A towing force of 200 N is applied at an angle of 45° for 5 s. Determine the final velocity (m/s) after 5 s. oopo 45° 200 N Hint: From the derivation F=ma, it requires same line of action (or at the same axis).

= Q1: The 1.5-kg ball is given an initial velocity VA 2.5 in the vertical plane at position A, where the two horizontal attached springs are unstretched. The ball follows the dashed path shown and crosses point B, which is 12 cm. directly below A. Calculate the velocity of the ball at B. Each spring has a stiffness of k = 1 ª N m VA 30 cm 30 cm 12 cm A UB B Fig. 1

Q5

A 100 pound pipe is at rest vertically, when the cable is connected to B at the force of P=50 pounds. Find the pipes angular velocity and acceleration at A. Please include FBD is necessary. Thank you. 4 ft A 3 ft P = 50 lb В 3 ft