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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

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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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 the associated 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 = -A a = (0) 2.3 V=OA a= 0 A AMER maximum speed of the oscillating mass 0.625 ✓ m/s +A magnitude of the maximum acceleration of the oscillating mass ✓ m/s² magnitude of the maximum force experienced by the oscillating mass 7.291 ✓ N maximum kinetic energy of the oscillating mass 0.619 J (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 numerical values in your expression are in standard SI units, but do not enter units into your expression.) X maximum elastic potential energy of the spring attached to the mass 0.619 total energy of the oscillating mass-spring system 0.619 ✓ J X 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?
Transcribed Image Text: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 the associated 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 = -A a = (0) 2.3 V=OA a= 0 A AMER maximum speed of the oscillating mass 0.625 ✓ m/s +A magnitude of the maximum acceleration of the oscillating mass ✓ m/s² magnitude of the maximum force experienced by the oscillating mass 7.291 ✓ N maximum kinetic energy of the oscillating mass 0.619 J (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 numerical values in your expression are in standard SI units, but do not enter units into your expression.) X maximum elastic potential energy of the spring attached to the mass 0.619 total energy of the oscillating mass-spring system 0.619 ✓ J X 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?
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