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# Untitled

a guest Feb 18th, 2019 65 Never
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1. import numpy as np
2. import matplotlib.pyplot as plt
3.
4. time = 60
5. dt = 0.001
6. m = 0.1
7. g = 9.81
8. theta = 5*np.pi/6
9. k = 200
10. L0 = 1
11. r = np.zeros((n,2),float)
12. v = np.zeros((n,2),float)
13. a = np.zeros((n,2),float)
14. t = np.zeros((n,1),float)
15. n = int(np.ceil(time/dt))
16. r0 = np.array([L0*np.sin(theta) ,L0*np.cos(theta) ])
17. v0 = np.array([1.0, 0.0])
18. r[0,:] = r0
19. v[0,:] = v0
20.
21.
22. for i in range(n):
23.     a[i,:] = (-m*g*np.array[0,1]-k*(((r[i,0])**2+(r[i,1])**2)-L0))/m*(r[i,0]        /((r[i,0])**2+(r[i,1])**2))
24.
25.     v[i+1,:] = v[i,:] + a[i,:]*dt
26.     r[i+1,:] = r[i,:] + v[i+1,:]*dt
27.
28. plt.plot(r[1:i, 0], r[1:i, 1])
29. plt.show()
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