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Case 4: Spring Mass Problem: The mass m is attached to a spring of free length b and stiffness k. The coefficient of friction between the mass and the horizontal rod is u. The acceleration of the mass can be shown to be x= -f(x), where b √√√b² + x²² 2 2 If the mass is released from rest at x = b, its speed at x = 0 is given by k ƒ(x) = µg + ¹² (µb+x) 1- - m Vo = √2[ f(x)dx 1. Compute vo by numerical Simpson's 1/3 and 3/8 integration and compare between them with different step size, using the data m = 0.9 kg, b = 0.6 m, µ=0.3, k = 100 N/m, and g = 9.81 m/s²,

Case 4: Spring Mass Problem: The mass m is attached to a spring of free length b and stiffness k. The coefficient of friction between the mass and the horizontal rod is u. The acceleration of the mass can be shown to be x= -f(x), where b √√√b² + x²² 2 2 If the mass is released from rest at x = b, its speed at x = 0 is given by k ƒ(x) = µg + ¹² (µb+x) 1- - m Vo = √2[ f(x)dx 1. Compute vo by numerical Simpson's 1/3 and 3/8 integration and compare between them with different step size, using the data m = 0.9 kg, b = 0.6 m, µ=0.3, k = 100 N/m, and g = 9.81 m/s²,

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hello i need answer of this case using numerical methods ((Simpson's 1/3 and simpson's 3/8 )) Pls include all steps And thank u
Case 4: Spring Mass Problem: The mass m is attached to a spring of free length b and stiffness k. The coefficient of friction between the mass and the horizontal rod is u. The acceleration of the mass can be shown to be x= -f (x), where k f(x)= µg +-(ub+x) b 1- If the mass is released from rest at x = b, its speed at x = 0 is given by Vo = 2 f(x)dx 1. Compute vo by numerical Simpson's 1/3 and 3/8 integration and compare between them with different step size, using the data m = 0.9 kg, b = 0.6 m, µ=0.3, k = 100 N/m, and g = 9.81 m/s?, 2. Develop a MATLAB code to solve the equation for both methods. 3. Plot the acceleration of the mass versus x, and find the area under the curve by MATLAB built-in function. 4. Can we find an exact solution???Try it. www Figure (1)
Transcribed Image Text:Case 4: Spring Mass Problem: The mass m is attached to a spring of free length b and stiffness k. The coefficient of friction between the mass and the horizontal rod is u. The acceleration of the mass can be shown to be x= -f (x), where k f(x)= µg +-(ub+x) b 1- If the mass is released from rest at x = b, its speed at x = 0 is given by Vo = 2 f(x)dx 1. Compute vo by numerical Simpson's 1/3 and 3/8 integration and compare between them with different step size, using the data m = 0.9 kg, b = 0.6 m, µ=0.3, k = 100 N/m, and g = 9.81 m/s?, 2. Develop a MATLAB code to solve the equation for both methods. 3. Plot the acceleration of the mass versus x, and find the area under the curve by MATLAB built-in function. 4. Can we find an exact solution???Try it. www Figure (1)
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