A 0.5 m wide door, shown here from a Hinge Knob top view, has a rotational inertia of 0.8 kg m² as it rotates about its hinge at one end. F=3N A) If the door is initially at rest and a person continually pushes perpendiculalry on the door knob at the other end with a 3 N force, how long does it take to rotate the door open by 90°? B) From the perspecive of the person pushing on the door, what is the direction of torque vector?

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Please solve the question with both parts a and b. Thank you!
A 0.5 m wide door, shown here from a
-Hinge Knob
top view, has a rotational inertia of 0.8 kg m² as
it rotates about its hinge at one end.
A)
F = 3N
If the door is initially at rest and a person
continually pushes perpendiculalry on the
door knob at the other end with a 3 N force, how long does it take to rotate
the door open by 90°?
B) From the perspecive of the person pushing on the door, what is the
direction of torque vector?
Transcribed Image Text:A 0.5 m wide door, shown here from a -Hinge Knob top view, has a rotational inertia of 0.8 kg m² as it rotates about its hinge at one end. A) F = 3N If the door is initially at rest and a person continually pushes perpendiculalry on the door knob at the other end with a 3 N force, how long does it take to rotate the door open by 90°? B) From the perspecive of the person pushing on the door, what is the direction of torque vector?
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