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Incline with a Spring and Loop the Loop

We are suppose to solve for the smalles v0
 

learningphysics

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We are suppose to solve for the smalles v0
ok, I just looked at the problem... I think the angle of v0 is supposed to remain as 24 degrees...

use conservation of energy again... what is the initial energy.... what is the final energy...
 
What do you mean by that, just set up an equation using the same final velocity.

I've been pondering two methods, one in which neither velocity was known, but that would lead nowhere. The other was just using the same veocity at its lowest point.
 

learningphysics

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4,099
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What do you mean by that, just set up an equation using the same final velocity.

I've been pondering two methods, one in which neither velocity was known, but that would lead nowhere. The other was just using the same veocity at its lowest point.
set the final velocity to 0. you want the minimum value of v0 so that it reaches the pendulum gets to a horizontal position... if you set final velocity>0 then you aren't dealing with the minimum...

So final energy is just mgL (setting the lowest position as 0).

What is the initial energy in terms of vo?
 

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