[1] answer part b please ²A.A mass m = 3.17 kg is attached to a spring of force constant k = 42.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.17 m from its equilibrium position and then releasing it. The figure below shows the oscillating mass and the particle on theassociated reference circle at some time after its release. The reference circle has a radius A, and the particle traveling on the reference circle has a constant counterclockwise angular speed , constant tangential speed V = @A, and centripetal acceleration of constant magnitude ac = ²(a) Determine the following.X =V =x = -Aa =(0)2.3V=OAa= 0 AAMERmaximum speed of the oscillating mass0.625✓ m/s+Amagnitude of the maximum acceleration of the oscillating mass✓ m/s²magnitude of the maximum force experienced by the oscillating mass7.291✓ Nmaximum kinetic energy of the oscillating mass0.619J(b) If the record of time starts when x = +A and v = 0, determine expressions for the displacement, velocity, and acceleration of the oscillating mass along the x axis at any time t later. (Your expression should be in terms of the variable t and other numerical values. Assume any numericalvalues in your expression are in standard SI units, but do not enter units into your expression.)Xmaximum elastic potential energy of the spring attached to the mass0.619total energy of the oscillating mass-spring system0.619✓ JXHow is the x component of the location of the particle on the reference circle related to the displacement of the oscillating mass on the x axis?xHow is the x component of the velocity of the particle on the reference circle related to the velocity of the oscillating mass along the x axis?

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(b) If the record of time starts when x = +A and v= 0, determine expressions for the displacement, velocity, and acceleration of the oscillating mass along the x axis at any time t later. (Your expression should be in terms of the variablet and other numerical values. Assume any numerical values in your expression are in standard SI units, but do not enter units into your expression.) a- How is the x component of the location of the particle on the reference circle related to the displacement of the oscillating mass on the x axis? x How is the x component of the velocity of the particle on the reference circle related to the velocity of the oscillating mass along the x axis? x

(b) If the record of time starts when x = +A and v= 0, determine expressions for the displacement, velocity, and acceleration of the oscillating mass along the x axis at any time t later. (Your expression should be in terms of the variablet and other numerical values. Assume any numerical values in your expression are in standard SI units, but do not enter units into your expression.) a- How is the x component of the location of the particle on the reference circle related to the displacement of the oscillating mass on the x axis? x How is the x component of the velocity of the particle on the reference circle related to the velocity of the oscillating mass along the x axis? x

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

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 11OQ

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