- #1
Kristenx2
- 11
- 0
Homework Statement
Consider 2 masses (m1=13kg, m2=26kg) connected by a string. The pulley is a uniform disc of radius R=0.05m and mass m=1kg. μ between the horizontal surface and the larger mass is 0.2.
Find Frictional force acting on larger mass.
Find the linear acceleration of the blocks.
Find tension of the string acting on both weights.
Calculate the angular acceleration of the pulley in rad/s2.
Calculate the time it will take block M to move 1m when released from rest.
Calculate the number of revolutions made by the pulley during the time period of the precious problem.
Homework Equations
F=μ*m*g
m2g-T2=m2a
α=τ/I
I=1/2mr2
T2-T1=1/2mpa
That's all I could really figure out to use. Would I also use m1g*μ-T1=m1a?
The Attempt at a Solution
I got the friction force fine, 51.012N.
I messed up the next part thinking the pulleys were massless. I did a=(m2g-μm1g)/(m1+m2 and got 1.962 m/s2. Naturally, for the tension part, I ended up with the same tensions of 102N. I know that's not right.
So I did T2-T1=1/2mpa and ended up with 1.94m/s2. That seems wrong as well, because my T1 ended up being 0.646N (mgμ-T=ma). It just seems really off and I am not sure what I am doing wrong. I am almost positive it has something to do with the way I am incorporating the friction, though.
This is what the diagram looks like:
O\_______|m1(26kg)|____
|//////////////////////////////////
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|M2(13kg)|