What is the Maximum Height of a Pendulum on the Right?

AI Thread Summary
The discussion centers on determining the maximum height a pendulum bob will reach after being caught by a peg as it passes through the vertical. Participants express uncertainty about calculating this height without specific numerical values. It is suggested that an algebraic expression can be derived based on the masses involved and the initial height. Users are encouraged to create hypothetical numbers for clarity and then generalize the solution using variables. The conversation emphasizes understanding the principles of pendulum motion and energy conservation.
dman2522
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Homework Statement


A pendulum is released at A and caught by a peg as it passes through the
vertical, B. To what height will the bob rise on the right?

Homework Equations


None given

The Attempt at a Solution


I really am unsure about how I am supposed to figure the height when no numbers were given. Thank you for any help!
 
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dman2522 said:

Homework Statement


A pendulum is released at A and caught by a peg as it passes through the
vertical, B. To what height will the bob rise on the right?


Homework Equations


None given


The Attempt at a Solution


I really am unsure about how I am supposed to figure the height when no numbers were given. Thank you for any help!

Presumably the answer will be an algebraic expression in terms of the two masses and the original height.

If numbers make you more comfortable, you could invent your own and calculate.

Then re-write your answer using h, M and m in place of you numbers, which should only prevent combinations of this numbers.
eg: first time you might have a 3 multiplied by a 5 which you would write as 15, second time through you may have M multiplied by m, which you would write as Mm.
 

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