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11. (Mass on an inclined plane) The equation ma" + cx' mg sin a governs the straight-line displacement r(t) of a mass m along a plane that is inclined at an angle a with respect to the horizontal, if it slides under the action of gravity and fric- tion. If x(0) = 0 and x'(0) = 0, solve for z(t). HINT: First, integrate the equation once with respect to t to reduce it to a first-order linear equation.

11. (Mass on an inclined plane) The equation ma" + cx' mg sin a governs the straight-line displacement r(t) of a mass m along a plane that is inclined at an angle a with respect to the horizontal, if it slides under the action of gravity and fric- tion. If x(0) = 0 and x'(0) = 0, solve for z(t). HINT: First, integrate the equation once with respect to t to reduce it to a first-order linear equation.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Differential equations: please solve this correctly and handwritten

11. (Mass on an inclined plane) The equation ma" + cx' mg sin a governs the straight-line displacement z(t) of a mass m along a plane that is inclined at an angle a with respect to the horizontal, if it slides under the action of gravity and fric- tion. If x(0) = 0 and x'(0) = 0, solve for r(t). HINT: First, integrate the equation once with respect to t to reduce it to a first-order linear equation.
Transcribed Image Text:11. (Mass on an inclined plane) The equation ma" + cx' mg sin a governs the straight-line displacement z(t) of a mass m along a plane that is inclined at an angle a with respect to the horizontal, if it slides under the action of gravity and fric- tion. If x(0) = 0 and x'(0) = 0, solve for r(t). HINT: First, integrate the equation once with respect to t to reduce it to a first-order linear equation.
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