- #1
shizaep
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Homework Statement
1)What should F be so that m3accelerates upwards at 1 m/s2?
Homework Equations
F = ma
The Attempt at a Solution
So I start by drawing FBD's for everything:
^^also, there is supposed to be a force of friction to the right on M1, I factored that into my solution but forgot to draw in in the diagram.
Then I proceed to sum the x and y components of the forces where it is relevant.
m3:
ƩFy=m3a1
T-m3g=m3a1
m2:
μkm2g-T=m2a1
m1:
F-Nm3+μkm2g=m1a2
F=(m1+m3)(a2-1)-μkm2g
i got the relationship a2=a1-1
(a2is the acceleration of the big block and a1 is the acceleration of the 2 smaller blocks)
For a final answer I got:
F = (m1+m3)[(μkm2g-m3g)/(m2+m3)-1]-μkm2g
I am not sure if this is correct. May someone verify this solution please. In particular, I was unsure about the contact forces between the large block and the block accelerating vertically.
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