Need help checking practice problems, image included. Thanks! A block with a mass m = 1.5 kg is resting on a wooden plank. The coefficient of static friction betweenthe block and the plank is μ = 0.58. One end of the board is attached to a hinge so that the other endcan be lifted forming an angle 8, with respect to the ground. The x axis is along the plank.mFind an expression for the component of the force of gravity in the y direction, F.,, perpendicular to theplank 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 givenquantities and variables given.Assuming the static friction is maximized, write an expression using only the given parameters andvariables 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 horizontalbefore it starts moving (Within terms of the given parameters and variables available) and use it to solvefor the numerical value in degrees.

The gravitational force acting on the object with mass can be resolved into vertical and horizontal…

Answered: A block with a mass m= 1.5 kg is…

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.

Expert Solution

Step 1: Given Information

The gravitational force acting on the object with mass $m equals 1.5 space k g$ can be resolved into vertical and horizontal components , where the vertical component of weight of the mass ,acts down perpendicular to the x-axis while the normal force, that is (N ) acts up perpendicular to the x-axis. The static frictional force $f subscript s equals mu subscript s space N$ , opposes the horizontal motion of mass with respect to x-axis. The free body diagram of the system is given below ,

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