Problem 1: Find the magnitude of the acceleration of the particle in each of the following cases, Also, show the direction of the acceleration vector via an arrow in the

figure. (a) Spool S is sitting on the inclined rod at a distance 0.25m from A. The inclined rod is rotating about z axis, such that the speed of S is 2m/s and is constant. Note that the path traced by S is a circle as shown. (b) Spool S is sitting on the inclined rod at a distance 0.25m from A. Theinclined rod is rotating about z axis with a constant angular velocityof 2 rad/s. (c) A girl is sitting on a horizontal platform at a distance r = 5m from the center of the platform. The speed of the girl is 2m/s but the speed is decreasing at the rate of 0.8 m/s?. 200(1+ cos 0) with a(d) A pilot is making a loop on the curve r =constant speed of 85 m/s and is currently at point A (0 = 0).