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

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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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

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(t), where y() 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". t)
Differential equation:|
help (equations)
Initial conditions: y(0)
and y'(0) =
help (numbers)
c. Solve the initial value problem for y(1).
y(t) =help (formulas)
d. Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 st< o. If there is no such
maximum, enter NONE.
maximum excursion =
meters help (numbers)

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