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chocolatelover
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Homework Statement
Two objects of unequal mass are hung vertically over a frictionless pulley of negigible mass. Determine vector a1, vector a2, and the tentions. m1<m2
Homework Equations
ΣFy=t-m1g=m1ay
ΣFy=m2g-T=m2ay
-m1g+m2g=m1ay+m2ay
ay=m2-m1/(m1+m2)g
The Attempt at a Solution
ay=(m2-m1)/(m1+m2)h
ay=(15-5kg)/(15kg+5kg)(-9.8m/s) (Would gravity be negative?)
=4.9m/s^2
Is a1= a2? that is, a1=-4.9m/s^2 and a2=-4.9m/s^2
T=m1(g+ay)=(2m1m2)/(m1+m2)g
T=5kg(9.8m/s^2+9.8m/s^2+4.9m/s^2)
=2(5kg)(15kg)(9.8m/s^2)/(5kg+15kg)
T=73.5kg
Does this look right?
Would you also get the same answer if you did vector a =change in velocity/change in time?
Thank you very much