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Two Connected Masses

  • #1

Homework Statement



Two masses are tied together by a string over a massless pulley so that they can both move vertically. Their masses are 1 kg and 3 kg. What is the acceleration of the 1 kg mass?

Homework Equations



F=ma
W=mg

The Attempt at a Solution



I have the 3 kg mass's summation of forces as ma-T. (In my free body diagram, the 3kg mass is the one closest to the pulley.)

The 1 kg mass's summation of forces are mg-T.

I'm unsure if my diagram is correct and I don't know where to go from here.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Welcome to PF!

Hi Juggernaut06 ! Welcome to PF! :smile:
Two masses are tied together by a string over a massless pulley so that they can both move vertically. Their masses are 1 kg and 3 kg. What is the acceleration of the 1 kg mass?

I have the 3 kg mass's summation of forces as ma-T. (In my free body diagram, the 3kg mass is the one closest to the pulley.)

The 1 kg mass's summation of forces are mg-T.
No, both wrong :redface:

both masses have both a and mg.

And of course a is equal (and opposite) for both. :wink:
 

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