Planar rigid body kinematics practice problems

[Gnat85]

I have been given the following problems for practice for an upcoming test that is going to have similar problems on it. I was wondering if someone knows how to do them as I want to make sure that I know how to do them correctly so I will be prepared come test time. Thank you!

 

[radou]

as I want to make sure that I know how to do them correctly so I will be prepared come test time.

So, show us how you do them!