A square plate is 2.1 × 102 m thick, measures 4.5 × 10-2 m on a side, and has a mass of 7.2 × 102 kg. The shear modulus of the material is 1.9 x 1010 N/m². One of the square faces rests on a flat horizontal surface, and the coefficient of static friction between the plate and the surface is 0.85. A force is applied to the top of the plate, as in Figure (a). Determine (a) the maximum possible amount of shear stress, (b) the maximum possible amount of shear strain, and (c) the maximum possible amount of shear deformation AX (see Figure (b)) that can be created by the applied force just before the plate begins to move. (a) (b) Area = A (a) Number i Units (b) Number Units (c) Number i Units
A square plate is 2.1 × 102 m thick, measures 4.5 × 10-2 m on a side, and has a mass of 7.2 × 102 kg. The shear modulus of the material is 1.9 x 1010 N/m². One of the square faces rests on a flat horizontal surface, and the coefficient of static friction between the plate and the surface is 0.85. A force is applied to the top of the plate, as in Figure (a). Determine (a) the maximum possible amount of shear stress, (b) the maximum possible amount of shear strain, and (c) the maximum possible amount of shear deformation AX (see Figure (b)) that can be created by the applied force just before the plate begins to move. (a) (b) Area = A (a) Number i Units (b) Number Units (c) Number i Units
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 12.28P: Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108...
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Transcribed Image Text:A square plate is 2.1 × 102 m thick, measures 4.5 × 10-2 m on a side, and has a mass of 7.2 × 102 kg. The shear modulus of the material
is 1.9 × 1010 N/m². One of the square faces rests on a flat horizontal surface, and the coefficient of static friction between the plate and
the surface is 0.85. A force is applied to the top of the plate, as in Figure (a). Determine (a) the maximum possible amount of shear
stress, (b) the maximum possible amount of shear strain, and (c) the maximum possible amount of shear deformation AX (see Figure
(b)) that can be created by the applied force just before the plate begins to move.
(a)
F
Area = A
(a) Number
i
Units
(b) Number
Units
(c) Number
Units
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