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http://imgur.com/NMu80

Hello!

I have a problem to solve and im not quite sure how to.

In the linked image i have the values of G, F and D given.

F stays constant and right angled towards the lever.

The bucket needs to go up 9 meters in 4 seconds.

What is the smallest x can be for this to happen?

I know how to find x if the system was standing still, or at constant speed.

But it needs to move the bucket up 9 meters in 4 seconds.

Since the only thing i can change is x i presume that the extra moment given by extra length of x, correlates to the speed it needs to have?

Or can i look at this as a constant speed problem by saying that from the start of the movement, there was an average speed of 2.25 m/s?

Which then would mean that the length of x is equal to what it would be if the system was standing still.

As in

G*(D/2)-F*x=0

if using the center of the disc as the moment point.

Im confused.

Can i solve this simply through equilibrium analyzes or do i have to involve angular momentum or something like that?

Sry if my english isnt the best. Its not my native language.