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Collision around a pendulum

  • Thread starter gregcor
  • Start date
1. Homework Statement
A pendulum consists of a mass M hanging at the bottom end of a massless rod of length l, which has a frictionless pivot at its top end. A mass m, moving as shown in the figure with velocity v impacts M and becomes embedded.

What is the smallest value of v sufficient to cause the pendulum (with embedded mass m) to swing clear over the top of its arc?


2. Homework Equations

[tex]p=mv[/tex]


3. The Attempt at a Solution
I realize that the acceleration must be [tex]\frac{v^2}{l}=g[/tex] to swing over the arc. Thus, I found:

[tex]v_f=mv_i/(m+M)[/tex], and set Vf equal to [tex]\sqrt{lg}[/tex] from the first equation.

I got:
[tex]v_i=\frac{(m+M)\sqrt{lg}}{m}[/tex]

But the software returned:
Code:
Your answer either contains an incorrect numerical multiplier or is missing one.
Help!
Thanks!
 

LowlyPion

Homework Helper
3,079
4
What is the top of its arc?

Is there a figure you can provide or describe in better detail?
 

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