- #1
Sagrebella
- 61
- 2
Hi everyone,
I'm having a difficult time figuring out this problem. Could someone give me some pointers? I set up the equations and the free body diagrams (hopefully they're correct) ; all I have to do now is solve for F.1. Homework Statement
A block of mass m is on top of a block of mass
M = 5m.
The two blocks are connected by a string that passes over an ideal pulley. The bottom block is also tied to a string - exerting a force F, after the blocks have been set in motion, causes the blocks to move at constant velocity.
Use
g = 10 N/kg
for this problem. The coefficient of kinetic friction between all surfaces in contact is 0.400.
Homework Equations
FN1= normal force of small block
FN2= normal force of large block
Fk1 = force of kinetic friction on small block
Fk2 = force of kinetic friction on large block
FT = force of tension
Bock 1 (small)
FN1 - m1g + Fk1 - FT = 0
Block 2 (large)
FN2 - m2g - FN1 + F - Fk1 - FT - Fk2 = 0
EDIT: so sorry, I missed the second part of the question!
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If the value of m is 260 g, what is the value of F?
The Attempt at a Solution
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- I set both equations equal to zero because they are moving at constant velocity, and hence constant acceleration, which makes the total force equal to zero
- Next, I set both equations equal to each other through the tension (FT)
- I replaced the term Fk1 and Fk2 with the equations for kinetic friction and then attempted to solve ...
My answer came out to 10 N, but this is wrong. What can I do to get the right answer?
Thanks
Pictures shown below for more detail ...
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