A professor's office door is 0.94 m wide, 2.0 m high, 4.0 cm thick; has a...
A professor's office door is 0.94 m wide, 2.0 m high, 4.0 cm thick; has a mass of 25 kg , and pivots on frictionless hinges. A "door closer" is attached to door and the top of the door frame. When the door is open and at rest, the door closer exerts a torque of 5.1 N⋅m .
If you let go of the open door, what is its angular acceleration immediately afterward?
What is the moment of inertia of the door?
Homework Answers
(b)
the moment of inertia of the door is
I = mr^2/3
= 25 kg ( 0.94 m)^2/3
=7.36 kg m^2
(a)
T = I alpha
alpha = T/I
=5.1 Nm/7.36 kg m^2
=0.692 rad/s^2
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