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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 t=-f(x), where k f(x) = µg +(µb+x) 1– b Vb² +x² If the mass is released from rest at x b, its speed at x 0 is given by 2[ scx»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 = = 9.81 m/s, 0.9 kg, b 0.6 m, u=0.3, k = 100 N/m, and g

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 t=-f(x), where k f(x) = µg +(µb+x) 1– b Vb² +x² If the mass is released from rest at x b, its speed at x 0 is given by 2[ scx»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 = = 9.81 m/s, 0.9 kg, b 0.6 m, u=0.3, k = 100 N/m, and g

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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 t=-f(x), where k f (x) = µg + (ub+x) 1–- b m If the mass is released from rest at x = b, its speed at x = 0 is given by xp(x)f 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, wwriup u vIA » code to ov.ve un cyu. 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. 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 t=-f(x), where k f (x) = µg + (ub+x) 1–- b m If the mass is released from rest at x = b, its speed at x = 0 is given by xp(x)f 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, wwriup u vIA » code to ov.ve un cyu. 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. Figure (1)
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