2) (25pts.) In a lab experiment regarding centripetal forces, students spin a 451g pendulum bob around (see figure). The pendulum bob is supported vertically a by a string, and horizontally by a spring with spring constant, k=104.5N/m. When the radius of the circular path is 17.5cm, the spring is stretched 8.20cm from its equilibrium position. Unfortunately, the students forgot to make certain the string that suspends the pendulum was completely vertical, such that the string made an angle of 8.50 with the vertical. 8.50 Circular path traveled by pendulum bob Ad=8.20cm -R=17.5cm 451g String a) Draw and define the forces on the pendulum bob. State the direction of center-seeking motion and the direction of the centripetal acceleration, include a reference axis, and state the sum of forces along the horizontal direction, FX, and along the vertical direction, Fy, for the pendulum bob. Determine b) the tension in the string, c) the magnitude of the linear velocity at which the pendulum bob is traveling about the circular path from the sum of forces along the x-direction, d) the period of circular motion from the linear velocity from part (c), For part (e) only, given the period of the bob measured by the students is 0.581s, e) calculate the percent difference between the period from part (c) and the period measured by the students, and state whether the difference is significant.