Self-closing refrigerator door A door is constructed of a thin homogeneous slab of material of width w, with frictionless hinges. If the door is opened through an initial angle ao < π/2, and it is released at rest, it closes itself in a time t. Find a formula for the angle d that the line of hinges makes with the vertical, in terms of w, ao, t and g. Use your formula to find 8 (in degrees) for the case w=0.86m, ao = π/4, t = 1.5s, g = 9.81m/s². Is this consistent with your experience with your refrigerator? (Recall that the moment of inertia of a rod of mass m and length & about one of its ends is ml²/3.)

Self-closing refrigerator door A door is constructed of a thin homogeneous slab of material of width w, with frictionless hinges. If the door is opened through an initial angle ao < π/2, and it is released at rest, it closes itself in a time t. Find a formula for the angle d that the line of hinges makes with the vertical, in terms of w, ao, t and g. Use your formula to find 8 (in degrees) for the case w=0.86m, ao = π/4, t = 1.5s, g = 9.81m/s². Is this consistent with your experience with your refrigerator? (Recall that the moment of inertia of a rod of mass m and length & about one of its ends is ml²/3.)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.50P: The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the...

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