(Solved): Graded problem 1 (10pt) A CT scan uses a rotating X-ray source mounted on a circular ring to captur ...

Graded problem 1 (10pt) A CT scan uses a rotating X-ray source mounted on a circular ring to capture three dimensional images of a body (see Figure 43.2 on page 521 of the textbook). One rotation of the X-ray source produces one sliced image of the body. A specific CT scan machine has a circular ring with diameter 80 cm (radius 40 cm), and the mass of the X-ray source mounted on the circular ring is 38 kg. The time it takes to capture one sliced image is 350 milliseconds. Assume that the X- ray source rotates at a constant speed. (a) What is the translational speed of the X-ray source in m/s? (2 pt) (b) What is the angular speed of the X-ray source in rad/s? (2 pt) (c) What is the magnitude of the centripetal force on the X-ray source? (2 pt) (d) How many degrees does the X-ray source turn in 100 milliseconds? (2 pt) (e) What is the frequency of the rotation of the X-ray source? (2 pt) Courses Graded problem 2 (10 pt) (In this problem, use g = 10 m/s² for the acceleration due to gravity.) In the figure below, three boxes are placed on the seesaw, and it is balanced (static equilibrium). The mass of the seesaw itself is negligible. Box 1 has mass M kg, and it is placed to the left of the pivot. Box 1 is d meters away from the pivot. Box 2 with mass 42 kg is placed 1.2 m away, to the left of the pivot, and Box 3 with mass 55 kg is placed 2.7 m away, to the right of the pivot. Mkg 42 kg 55 kg Box Box Box 2 1 Pivot 3 2.7m d (a) What is the weight of Box 2 and Box 3 in N? (2 pt) (b) What is the torque on the seesaw due to the weight of Box 2? The + or - sign must be included in your answer to indicate the direction of the torque. (2 pt) (c) What is the torque on the seesaw due to the weight of Box 3? The + or - sign must be included in your answer to indicate the direction of the torque. (2 pt) (d) If the mass of Box 1 is M-30 kg, what is the distance of Box 1 from the pivot? (2 pt) € (e) If d = 2.9 m, what is the mass of Box 1? (The values of M and d are different from part (d).) (2 pt) 1.2 m OC