Q1 A 150-kg space vehicle passes through the origin of a newtonian reference frame Oxyz at time t = 0 with velocity vo = (150 m/s)i relative to the frame. Following the detonation of explosive charges, the vehicle separates into three equal parts parts A, B, and C. a) Knowing that at t = 2.5 s, the positions of parts A and B are observed to be A(555, -180, 240) and B(255, 0, -120), where the coordinates are expressed in meters. Determine the position of part C at that time. (10 Mks) b) At t = 2.5 s, the velocity of part A is VA = (270 m/s)i - (120 m/s)j +(160 m/s)k, and the velocity of part B is parallel to the xz plane. Determine i. the velocity of part C, (10 Mks) il. the energy gained during the detonation. (5 Mks)Q2 Mass C, which has a mass of 4 kg, is suspended from a cord A attached to cart A, which has a mass of 6 kg and can roll freely on O O a frictionless horizontal track. A 50-g bullet is fired with a speed vo = 500 m/s and gets lodged in block C. Determine a) the velocity of C as it reaches its maximum elevation, (10 Mks) C b) the maximum vertical distance h through which C will rise. (15 Mks)Q3. 75 mm 200 mm In the position shown, bar AB has an angular velocity of 5 O rad/s clockwise. Determine the angular velocity of bars BD and DE. (25 Mks) EO 250 mm 150 mm O B DQ4 In the engine system shown, I = 200 mm and b = 50 mm. Knowing that the P crank AB rotates with a constant angular velocity of WAB = 100 rad /s , determine the velocity and acceleration of the piston P and the angular velocity D of the connecting rod when a) 0 = 0, (10 Mks) b) 0 = 60 (15 Mks) Al B