Speed of Pendulum Bob at Lowest Point

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Homework Help Overview

The problem involves a simple pendulum with a bob of mass 1.8 kg and a string length of 2.3 m, initially held at an angle of 30° from the vertical. The scenario describes the pendulum swinging down after a horizontal string is cut, and the question seeks the speed of the bob at its lowest point.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of conservation of energy as a potential approach, but some express uncertainty about their ability to apply it due to curriculum constraints. Others explore the possibility of finding acceleration and integrating, while noting that calculus is not permitted.

Discussion Status

The discussion reflects a mix of attempts to apply different methods, with some participants suggesting conservation of energy as a viable approach despite others indicating a lack of familiarity with it. There is recognition of the curriculum's limitations affecting the problem-solving process.

Contextual Notes

Participants mention that calculus is not allowed for this problem, and there is a reference to the AP Physics B curriculum, which may impose specific constraints on the methods available for solving the problem.

jamman751
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Homework Statement


A simple pendulum consists of a bob of mass 1.8kg attached to a string of length 2.3m. The pendulum is held at an angle of 30° from the vertical by a light horizontal string attached to a wall. If the horizontal string is cut close to the bob and the pendulum swings down, what is the speed of the bob at its lowest point.

The exact problem can be seen here. Its problem 2c. http://www.collegeboard.com/prod_downloads/ap/students/physics/ap05_frq_physics_b.pdf

The weight of the bob is 17.64N. The tension in the horizontal string is 10.18N. The tension in the 2.3m string is 20.36N.


Homework Equations


The relevant equations are all at the top of the pdf given in the link. This is a AP Physics B problem so calculus isn't allowed.


The Attempt at a Solution



My attempts all involve me attempting to find the time to swing or the angular acceleration which I can not find. I am not sure if the angular acceleration or the tangential acceleration is zero at the bottom of the swing.
 
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Consider conservation of energy.
 


omoplata said:
Consider conservation of energy.

I can't use that because we haven't learned it yet.
 


The only other way is to find the acceleration of the bob and integrate. But you say calculus isn't allowed.
 


omoplata said:
Consider conservation of energy.

jamman751 said:
I can't use that because we haven't learned it yet.
Then you can't solve this problem -- yet. But since conservation of energy is part of the AP Physics B curriculum, then it is totally fair to expect students to use that method to solve this problem.

It is pretty clear to people familiar with the AP Physics B curriculum that conservation of energy is the way to solve problem 2c.

p.s. welcome to Physics Forums, janman751
 

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