Can someone please check this modified pendulum velocity problem

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    Pendulum Velocity
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Homework Help Overview

The discussion revolves around a modified pendulum velocity problem involving a ballistic pendulum setup. The original poster seeks to determine the velocity of a marble launched by a lever mechanism, given specific parameters such as the angle of elevation, length of the string, and mass of the block.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between kinetic and potential energy, questioning the calculations related to the initial velocity of the object. There is uncertainty regarding the correctness of trigonometric applications and the derivation used for velocity.

Discussion Status

Participants are actively questioning the specific quantities to verify and expressing confusion about the calculations leading to significantly different velocity results compared to expected values. There is a focus on clarifying notation and ensuring the correct application of formulas.

Contextual Notes

Some participants mention discrepancies between their calculated velocities and a manufacturer's specified velocity, indicating potential misunderstandings or misapplications of the underlying physics principles.

yamugushi
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[solved] Can someone please check this modified pendulum velocity problem

Homework Statement


I'm looking for the ballistic pendulum velocity for a simple machine (pull back lever, it shoots a marble into a block that raises to a certain degree measured)

I have the angle that the block is raised
length of the string
mass of block


Homework Equations


Ke=Pe (1/2MV^2=MGH)
cos@=length of sting - height/length of string






The Attempt at a Solution




.20cos25.3 = .20 - h

which gives me .02cm, which in turn gives me .6m/s, which seems a bit slow, I feel as if I'm messing up my trig but I don't know where...




s.jpg


I figured out I was using an incorrect derivation, I was just so fixed on thinking I had messed up my trig work
 
Last edited:
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I'm confused in what you want us to check? What specific quantity are you concerned about?

The intial velocity of the object after its pulled back a certain distance?
 
jegues said:
I'm confused in what you want us to check? What specific quantity are you concerned about?

The intial velocity of the object after its pulled back a certain distance?
I've been given the manufacturers velocity, which is 5.5m/s, I'm getting less than 1m/s and honestly I don't see what I'm doing wrong.
BTW here is the pendulum I used:
1600-4.jpg
 
What exactly is this:

V = Rad(9.8 * 0.2)/0.5

?
 
jegues said:
What exactly is this:

V = Rad(9.8 * 0.2)/0.5

?


Ke=Pe
1/2mv^2=mgh
masses cancel, divide both sides by .5
take the square root of both sides to get v=rad(GH)/.5
 
Just your notation--rad is confused with radians. [tex]\sqrt{}[/tex] is available on the latex option on advanced setting with the icon:[tex]\Sigma[/tex] Or simply denote as sqrt(gh/.5)
 

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