Prob10p6 -...

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Sheet1 Page 1 % EGM 3400/3401 Homework Problem 10.6 %-------------------------------------------------------------------- % Set up problem AutoOverwrite On NewtonianFrame N % Nx> to the right, Ny> up, and Nz> = Nx> x Ny> Particle Q Point A, B, C Constant g, m Constant AB, BC, h Constant d, E Constant x, y, z Constant LnA, LnB, LnC %-------------------------------------------------------------------- % Spring constants A = pi*(d/2)^2 kA = (A*E)/LnA kB = (A*E)/LnB kC = (A*E)/LnC %-------------------------------------------------------------------- % Position vectors p_No_Q> = x*Nx> + y*Ny> + z*Nz> p_No_B> = h*Ny> p_B_A> = AB*Nz> p_B_C> = BC*Nx> % p_No_Q> = p_No_A> + p_A_Q> p_No_A> = p_No_B> + p_B_A> p_A_Q> = p_No_Q> - p_No_A> % p_No_Q> = p_No_B> + p_B_Q> p_B_Q> = p_No_Q> - p_No_B> % p_No_Q> = p_No_B> + p_B_C> p_No_C> = p_No_B> + p_B_C> p_C_Q> = p_No_Q> - p_No_C>
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Unformatted text preview: %--------------------------------------------------------------------% Spring forces LA = Mag( p_A_Q> ) LB = Mag( p_B_Q> ) LC = Mag( p_C_Q> ) uA> = -Unitvec( p_A_Q> ) uB> = -Unitvec( p_B_Q> ) uC> = -Unitvec( p_C_Q> ) FA> = kA*(LA-LnA)*uA> FB> = kB*(LB-LnB)*uB> FC> = kC*(LC-LnC)*uC> %--------------------------------------------------------------------% Static equations Zero> = FA> + FB> + FC> - m*g*Ny> Zero[1] = Dot( Zero>, Nx> ) Sheet1 Page 2 Zero[2] = Dot( Zero>, Ny> ) Zero[3] = Dot( Zero>, Nz> ) %--------------------------------------------------------------------% Solution of nonlinear system of equations UnitSystem kg, m, sec Input g = 9.8, m = 10 Input AB = 20, BC = 15, h = 8 Input d = 4e-3, E = 2e9 Input x = 5, y = 7.7, z = 9 SolveNonlinear( Zero, LnA = 10, LnB = 10, LnC = 10 )...
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Prob10p6 -...

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