The strings AB and AC connect the 200-g ball A to the vertical shaft, as shown Fig. (a). When the shaft rotates at the constant angular speed 0, the ball travels in a horizontal circle with the strings inclined at a = 30 to the shaft. Find the value of 0 for which the tension in string AC is 4 N.

1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Suppose you first walk A = 12 m in a direction 20° west of north and then B= 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. Keep all answers to 4 significant figures.

can you answer d please? (d) Draw the velocity vectors,  and the resultant velocity vector at this time.

Q3) Evaluate vector D = xax + yay at the point where p=7, Φ=0.2π (rad) and z=6.