Question about gravitational potential energy and angular motion

[plomeiko]

Homework Statement

all below

Relevant Equations

all below

hello I would like some help with the first part of this homework.
for the moment i have done this:
E initial=m*g*h
Efinal= 1/2 m*v ^ 2+1/2I*ω ^ 2

Ei=m*g*h+1/2I*ω ^ 2
Ef=1/2*m*v ^ 2

my doubt is with the potential energy since it confuses me when there is or not

https://www.physicsforums.com/attachments/268784

 

[haruspex]

E initial=m*g*h
Efinal= 1/2 m*v ^ 2+1/2I*ω ^ 2

Ei=m*g*h+1/2I*ω ^ 2
Ef=1/2*m*v ^ 2

You have two expressions for Ei and two for Ef. How come? Which pair applies?
When at angle θ, what is the relationship between v and ω?
What is I in terms of M, a and l?

 

[plomeiko]

the first pair is when it reaches the angle θ and the second when it falls from the table.
and the letter I is inertia

is it wrong?

 

[haruspex]

the letter I is inertia

Yes, but about which axis?
And I ask again

When at angle θ, what is the relationship between v and ω?

 

[berkeman]

Homework Statement:: all below
Relevant Equations:: all below

hello I would like some help with the first part of this homework.
for the moment i have done this:
E initial=m*g*h
Efinal= 1/2 m*v ^ 2+1/2I*ω ^ 2

Ei=m*g*h+1/2I*ω ^ 2
Ef=1/2*m*v ^ 2

my doubt is with the potential energy since it confuses me when there is or not

https://www.physicsforums.com/attachments/268784

The attachment appears to be missing now. Can you attach it again?