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 Homework Statement

A cart with a mass of 1.75 kg is pulled by a string over a pulley attached to a hanging
mass of 400 g.
a. What is the acceleration of the cart if the pulley is considered massless?
b. The pulley has a radius of 3.5 cm and a mass of 100 g. It can be considered a
solid disc. What is the actual acceleration of the cart?
 Homework Equations
 Attached
My attempt is also attached. Basically, I think I have (a) down. The only issue is I am getting the wrong answer, and I was hoping one of you could let me know if the answer key is wrong or the way I did it was wrong? The answer is 1.823m/s^2. Also, for the second part, I am really not sure where to go from here. If someone could get any advice that'd be awesome. (Also, the answer to (b) is 1.782m/S^2.
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