Question

how do i do number 8 part a and d? thanks

6. (10 pts) A patient with a broken leg was placed in traction using the system shown below at left. Once the cast is off of the foot, the system can be modeled as shown at right where m is the mass of the cast. In a most unfortunate incident, the cast slips off of the patient's foot and is flung by the traction system. In this problem, model the pulleys as massless, the system as frictionless and assume the rope rolls over the pulleys without slipping a. Use Newton's laws to find an expression for the acceleration of m2, the counterweight, in terms of mi, m2 and g. b. From your expression, what must be true of m and m2 for the acceleration to be zero, that is, the cast is not flung. c. If m m use kinematics to find the speed of the counterweight after it has fallen 2.0 m. m2 m2 7. (10 pts.) Repeat problem 6 part cusing conservation of energy. 8. (10 pts.) Now suppose that you want to refine the model of the system above by considering the non zero mass of the pulleys. Model the pulleys as uniform disks. Assume that 1/4 of the mass of the cast pulley system is the mass of disk A (so this disk has mass m and the cast has massmi), and disc B has mass 1/8 mi a. Repeat problem 7 in the refined model toget a refined speed. b. Find the tangential acceleration of the disk in pulley B using kinematics and your answer in parta. c. Find the net torque on pulley B if it's mass is 0.10 kg and its rads is 0.20 m. d. What is the difference in the tension in the rope on the 2 sides of pulley B? On which side is it greater?

Answer 1

Here we apply Newton's laws of motion for translation as well as rotational motion.

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3 2

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