A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 170 cos(81). The force F(1) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k. k =Newtons / meter b. Formulate the initial value problem for y(r), where y(f) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (Give your answer in terms of y, y'.y".1) Differential equation: help (equations) Initial conditions: y(0) and y'(0) = help (numbers) c. Solve the initial value problem for y(1). = (1) help (formulas) d. Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 st< 0, If there is no such maximum, enter NONE. maximum excursion= meters help (numbers)

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 170 cos(81). The force F(1) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k. k =Newtons / meter b. Formulate the initial value problem for y(r), where y(f) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (Give your answer in terms of y, y'.y".1) Differential equation: help (equations) Initial conditions: y(0) and y'(0) = help (numbers) c. Solve the initial value problem for y(1). = (1) help (formulas) d. Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 st< 0, If there is no such maximum, enter NONE. maximum excursion= meters help (numbers)

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 31P: A horizontal spring attached to a wall has a force constant of 850 N/m. A block of mass 1.00 kg is...

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