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megatyler30
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Homework Statement
A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and has a total mass of 49.0 kg. Initially open and at rest, the door is struck at its center by a handful of sticky mud of mass 0.500 kg, traveling perpendicular to the door at 15.0 m/s just before impact. Find the final angular speed of the door (in rad/sec).
Homework Equations
ΣLBefore=ΣLAfter
L=Iω=mvrsinϕ
IDoor swinging on hinges=(1/3)mr2
IOf point=mr2
The Attempt at a Solution
ΣLBefore=ΣLAfter
mvrsinϕ=(IDoor+IMud)ω
(.5)(15)(.5)sin90=[(1/3)(49)(.5)2+(.5)(.5)2]ω
w=.8911 rad/sec
Sorry, I did do .8911 on the question (webassign), I just typed it in wrong
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