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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 b f(x) = ug + ) 1- v m b2 +x If the mass is released from rest at x = b, its speed at x= 0 is given by 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. u=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. wwww Figure (1)

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 b f(x) = ug + ) 1- v m b2 +x If the mass is released from rest at x = b, its speed at x= 0 is given by 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. u=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. wwww Figure (1)

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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) = ug+(b + x) 1–- m b² +x² If the mass is released from rest at x = b, its speed at x = 0 is given by 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, =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: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) = ug+(b + x) 1–- m b² +x² If the mass is released from rest at x = b, its speed at x = 0 is given by 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, =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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