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A block of mass m = 160 kg rests against a spring with a spring constant of k= 770 N/m on an inclined plane which makes an angle of 0 degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure.

A block of mass m = 160 kg rests against a spring with a spring constant of k= 770 N/m on an inclined plane which makes an angle of 0 degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure.

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 of mass m = 160 kg rests against a spring with a spring constant of k = 770 N/m on an inclined plane which makes an angle of degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. d I 0 m Part (a) Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal to the plane, with out of the plane as positive. Enter an expression for the normal force, FN, that the plane exerts on the block (in the y-direction) in terms of defined quantities and g. Part (b) Denoting the coefficient of static friction by us. write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression Part (c) Assuming the plane is frictionless, what will the angle of the plane be, in degrees, if the spring is compressed by gravity a distance 0.1 m? Part (d) Assuming 0 = 45 degrees and the surface is frictionless, how far will the spring be compressed, d in meters?
Transcribed Image Text:A block of mass m = 160 kg rests against a spring with a spring constant of k = 770 N/m on an inclined plane which makes an angle of degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. d I 0 m Part (a) Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal to the plane, with out of the plane as positive. Enter an expression for the normal force, FN, that the plane exerts on the block (in the y-direction) in terms of defined quantities and g. Part (b) Denoting the coefficient of static friction by us. write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression Part (c) Assuming the plane is frictionless, what will the angle of the plane be, in degrees, if the spring is compressed by gravity a distance 0.1 m? Part (d) Assuming 0 = 45 degrees and the surface is frictionless, how far will the spring be compressed, d in meters?
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