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A mass weighing 10 pounds stretches a spring foot. This mass is removed and replaced with a mass of 2.5 slugs, which is initially released from a point foot above the equilibrium position with a downward ¹5 6 velocity of f - ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) Express the equation of motion in the form x(t) = A sin(wt + p). (Round your value of p to three decimal places.) x(t) = (b) Express the equation of motion in the form x(t) = A cos(wt - p). (Round your value of p to three decimal places.) x(t) = 를 (c) Use one of the solutions obtained in parts (a) and (b) to determine the first two times t > 0 the mass attains a displacement below the equilibrium position numerically equal to the amplitude of motion

A mass weighing 10 pounds stretches a spring foot. This mass is removed and replaced with a mass of 2.5 slugs, which is initially released from a point foot above the equilibrium position with a downward ¹5 6 velocity of f - ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) Express the equation of motion in the form x(t) = A sin(wt + p). (Round your value of p to three decimal places.) x(t) = (b) Express the equation of motion in the form x(t) = A cos(wt - p). (Round your value of p to three decimal places.) x(t) = 를 (c) Use one of the solutions obtained in parts (a) and (b) to determine the first two times t > 0 the mass attains a displacement below the equilibrium position numerically equal to the amplitude of motion

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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9 6 A mass weighing 10 pounds stretches a spring -foot. This mass is removed and replaced with a mass of 2.5 slugs, which is initially released from a point foot above the equilibrium position with a downward velocity of ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) Express the equation of motion in the form x(t) = A sin(wt + p). (Round your value of o to three decimal places.) x(t) = (b) Express the equation of motion in the form x(t) = A cos(wt - p). (Round your value of to three decimal places.) x(t) = (c) Use one of the solutions obtained in parts (a) and (b) to determine the first two times t > 0 the mass attains a displacement below the equilibrium position numerically equal to t = the amplitude of motion.
Transcribed Image Text:9 6 A mass weighing 10 pounds stretches a spring -foot. This mass is removed and replaced with a mass of 2.5 slugs, which is initially released from a point foot above the equilibrium position with a downward velocity of ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) Express the equation of motion in the form x(t) = A sin(wt + p). (Round your value of o to three decimal places.) x(t) = (b) Express the equation of motion in the form x(t) = A cos(wt - p). (Round your value of to three decimal places.) x(t) = (c) Use one of the solutions obtained in parts (a) and (b) to determine the first two times t > 0 the mass attains a displacement below the equilibrium position numerically equal to t = the amplitude of motion.
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