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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 13P

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