Axis 2 Axis 1 arm rests seats door knobs projection screen
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A heavy swing door has a mass of m = 6,000 kg, a width w = 2.0 m, and a height H = 2.5 m. The door swings about a vertical axis passing through its center. The moment of inertia of this door about the vertical axis of rotation is given by I = 1/12mw^2. (a) You stand on one side and push at the outer edge of the door and perpendicular to the face of the door with a force of F = 19.0 N. Your friend pushes on the other outer edge of the door from the opposite side with the same force. What is the net torque, in N . m, applied to the door? (c) Now consider a heavy door, with the same mass and dimensions as the one in part (a), that swings about a vertical axis passing through one long edge as shown in the diagram below. The moment of inertia of the door about this new axis of rotation is given by I = 1/3mw^2, where m is the mass and w is the width of the door.
Justin S.
The "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. (See Figure 6.28.) Each arm supports a seat suspended from a 5.00-m-long rod, the upper end of which is fastened to the arm at a point $3.00 \mathrm{~m}$ from the central shaft. (a) Make a free-body diagram of the seat, including the person in it. (b) Find the time of one revolution of the swing if the rod supporting the seat makes an angle of $30.0^{\circ}$ with the vertical. (c) Does the angle depend on the weight of the passenger for a given rate of revolution?
What is the moment of inertia of the door about an axis that passes through the hinge line of the door? A professor's office door is 0.95 m wide, 2.2 m high, 4.2 cm thick; has a mass of 28 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. 1) What is the moment of inertia of the door about an axis that passes through the hinge line of the door? 2) If you let go of the open door, what is its angular acceleration about the hinge line immediately afterward?
Mayukh B.
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