Rotational: angular momentum

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1. Oct 17, 2016

Yash123

1. The problem statement, all variables and given/known data

a spool of radius R1 and R2 (R2>R1) is kept on hortizontal surface. A force f= 2t N (where t is time ) acts on the inner radius tagentially find the angular momentum of the system about the bottomost point of the spool.
2. Relevant equations
v=u+at
W=Wi+alpha(t)
L=IW+mvr

3. The attempt at a solution

2. Oct 17, 2016

Let'sthink

Where is the pool fixed at the center or at the indicated point?

3. Oct 17, 2016

Yash123

It's not fixed ...it's on the floor free to rotate and translate

4. Oct 17, 2016

LemmeThink

Nonetheless, could you give me the relation between $\vec v$ and $\vec a$, and that between $\vec α$ and $\vec ω$?

5. Oct 17, 2016

Yash123

I solved it just used the wrong equations ...!

6. Oct 17, 2016

Yash123

but can you please solve iit jee paper 2 2016 rbd question

7. Oct 17, 2016

haruspex

In your calculation of the linear acceleration you have ignored friction at the ground. Not sure if you did the same with the moments.
Please do not post working as images. Use images for diagrams and textbook extracts. Take the trouble to type in your algebra.

8. Oct 17, 2016

Yash123

I solved it

9. Oct 19, 2016

Let'sthink

You say F = 2t what about direction? Then you want angular momentum at what time. If time varying force is acting neither the momentum nor angular momentum will be constant.

10. Oct 19, 2016

Yash123

Thanks for the reply but I solved it