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A door is 0.91 m wide, 2.0 m high, and 4.0 cm thick; has a mass...

A door is 0.91 m wide, 2.0 m high, and 4.0 cm thick; has a mass of 25 kg; and pivots on frictionless hinges. A “door closer” is attached to the door and the top of the door frame. When the door is open and at rest, the door closer exerts a torque of 5.2 N⋅m. (A) What is the condition for least force that needs to be applied to hold the door open? (B) What is the least force that you need to apply to the door to hold it open? (C) Look at table 7.1(7.1 Shows a different problem that is used for a visual reference. It has a angular velocity graph and an angular acceleration graph) What equation would you use to calculate moment of inertia of the door? Why? What is the moment of inertia of the door? (D) If you let go of the open door, what is its angular acceleration immediately afterward? (E) Let’s assume that the door is suck and you are trying to open it. If you are pushing it at a point 0.80 m away from the hinges with a 150 N force directed 250 away from being perpendicular to the door, how much torque are you exerting on the door?

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