heavy swing door has a mass of m = 8,500 kg, a width w = 1.0 m, and a height H = 3.8 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 = 12 (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 = 15.0 N. Your friend pushes on the other outer edge of the door from the opposite side with the same force. What is the torque applied to the door? N.m (b) What is the angular acceleration of the door? rad/s? (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 ro is given by I= mw, where m is the mass and w is the width of the door. H. How much force must you and your friend each apply to the free end of the door on the same side and perpendicular to the plane of the door in order to produce the same torque as that produced by both of you in part (a) above? N (d) What is the angular acceleration of the door? rad/s

heavy swing door has a mass of m = 8,500 kg, a width w = 1.0 m, and a height H = 3.8 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 = 12 (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 = 15.0 N. Your friend pushes on the other outer edge of the door from the opposite side with the same force. What is the torque applied to the door? N.m (b) What is the angular acceleration of the door? rad/s? (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 ro is given by I= mw, where m is the mass and w is the width of the door. H. How much force must you and your friend each apply to the free end of the door on the same side and perpendicular to the plane of the door in order to produce the same torque as that produced by both of you in part (a) above? N (d) What is the angular acceleration of the door? rad/s

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 23P: Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b...

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Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the magnitude ofeach torque exerted around the center of the disk. FIGURE P12.71 Problems 71-75
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