Please help me with the engineering dynamics problem(see attach)! Im new here...So still not sure about the system...Im just wondering do u know how

Please help me with the engineering dynamics problem(see attach)! Im new here...So still not sure about the system...Im just wondering do u know how to do this kind of questions? (like with disk e.g finding angular momentum and dynamics reaction)

price offer might not high at the moment since i want to make sure you know how to do it , then i will change it!!