General Physics I Question: Moment of Inertia Problem Difficulty

[i_love_space_and_eng]

Homework Statement

https://imgur.com/a/0CPYhEw

Relevant Equations

Attached.

Hi everyone,
I am honestly pretty confused as to where to start with this. Can anyone give any pointers as to where I could possibly go, for (a) and (b)?
Thanks!

 

[haruspex]

Problem Statement:
Relevant Equations: Attached.

Hi everyone,
I am honestly pretty confused as to where to start with this. Can anyone give any pointers as to where I could possibly go, for (a) and (b)?
Thanks!

You don't need anything on moments of inertia for part a.

For any pulley question, a good place to start is to assign unknowns for the tensions in the strings. If the strings and pulleys are massless and frictionless (other than between string and pulley) you only need one unknown per string. In this question there is only one string.
If a pulley has mass or axial friction then the tensions can be different either side of the pulley, so assign different unknowns.

Next step is to draw a free body diagram for each mass that can move. If a pulley has mass or axial friction, include a FBD for that.
Write force / acceleration and torque / angular acceleration equations for each mass.

Consider which accelerations are the same or related in a known way by the geometry.

 

[DrClaude]

I'm closing this thread because the OP has not put in enough effort.

Posting the question as an image is not acceptable, especially in this case where it can easily be typed. Also, external image servers should not be used (especially imgur, which is not permanent and recycles urls), but all images should be uploaded to PF.

We also require an attempt at a solution.