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A block with a mass m= 1.5 kg is resting on a wooden plank. The coefficient of static friction between the block and the plank is , = 0.58. One end of the board is attached to a hinge so that the other end can be lifted forming an angle 8, with respect to the ground. The x axis is along the plank. m Find an expression for the component of the force of gravity in the y direction, Fay, perpendicular to the plank in terms of given quantities and variables available. Write an expression for the magnitude of the friction force along the surface, in terms of the given quantities and variables given. Assuming the static friction is maximized, write an expression using only the given parameters and variables available for the sum of forces along the plank F. Write an expression for the maximum angle 0m, that the board can make with respect to the horizontal before it starts moving (Within terms of the given parameters and variables available) and use it to solve

A block with a mass m= 1.5 kg is resting on a wooden plank. The coefficient of static friction between the block and the plank is , = 0.58. One end of the board is attached to a hinge so that the other end can be lifted forming an angle 8, with respect to the ground. The x axis is along the plank. m Find an expression for the component of the force of gravity in the y direction, Fay, perpendicular to the plank in terms of given quantities and variables available. Write an expression for the magnitude of the friction force along the surface, in terms of the given quantities and variables given. Assuming the static friction is maximized, write an expression using only the given parameters and variables available for the sum of forces along the plank F. Write an expression for the maximum angle 0m, that the board can make with respect to the horizontal before it starts moving (Within terms of the given parameters and variables available) and use it to solve

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A block with a mass m = 1.5 kg is resting on a wooden plank. The coefficient of static friction between the block and the plank is μ = 0.58. One end of the board is attached to a hinge so that the other end can be lifted forming an angle 8, with respect to the ground. The x axis is along the plank. m Find an expression for the component of the force of gravity in the y direction, F.,, perpendicular to the plank in terms of given quantities and variables available. Write an expression for the magnitude of the friction force along the surface, in terms of the given quantities and variables given. Assuming the static friction is maximized, write an expression using only the given parameters and variables available for the sum of forces along the plank Fx. Write an expression for the maximum angle Om, that the board can make with respect to the horizontal before it starts moving (Within terms of the given parameters and variables available) and use it to solve for the numerical value in degrees.
Transcribed Image Text:A block with a mass m = 1.5 kg is resting on a wooden plank. The coefficient of static friction between the block and the plank is μ = 0.58. One end of the board is attached to a hinge so that the other end can be lifted forming an angle 8, with respect to the ground. The x axis is along the plank. m Find an expression for the component of the force of gravity in the y direction, F.,, perpendicular to the plank in terms of given quantities and variables available. Write an expression for the magnitude of the friction force along the surface, in terms of the given quantities and variables given. Assuming the static friction is maximized, write an expression using only the given parameters and variables available for the sum of forces along the plank Fx. Write an expression for the maximum angle Om, that the board can make with respect to the horizontal before it starts moving (Within terms of the given parameters and variables available) and use it to solve for the numerical value in degrees.
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