- #1
Purple Grind
- 3
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Homework Statement
Three objects mI. m2 and m3 are suspended
from three massless and frictionless pulleys as
shown in the diagram. ml is 6 kg, m2 is 2 kg
and m3 is 3 kg. Find the tension of the string
when the system is set in motion (i.e. all
masses are moving). Answer in N
Options are:
(a) 11.3 (b) 12.1 (c) 13.5 (d) 14.2
..O...O... Top 2 pulleys attached to ceiling, m1 hangs from 1st pulley, m2 is attached
.| |..| |... to the middle pulley, m3 hangs from third pulley.
.|..O...|
.|..[]..|
[] m2 []
m1...m3
Homework Equations
Fg=mg
F=ma
The Attempt at a Solution
I made 3 equations, tried to relate them but I am getting 15.68N instead of any of the options (this was an old exam question). It's too far from 14.2 to be right. Here were the four equations I made:
a1=(m1g-T)/m1
a2=(2T-m2g)/m2
a3=(m3g-T)/m3
2a2=a1+a3
I keep getting none of the possible answers but I think I'm doing it right. Where did I go wrong?