Dynamics Chapter 2: Problem 2.6 | Georgia Southern University - Edubirdie

University:
Georgia Southern University
Course:
ENGR 2232 | Dynamics of Rigid Bodies
Academic year:

2024
Views:

149

Pages:

1
Author:

Jalen W.

Problem 2.6: A chain (mass m, length l) lying on an inclined frictionless support starts sliding from the sketched position. The problem asks to determine the position and velocity as functions of time and also determine the velocity as a function of the position by applying the conservation-of-energy law. MATLAB Code: % Given parameters m = ; % mass of the chain l = ; % length of the chain alpha = ; % inclination angle g = 9.81; % acceleration due to gravity % Equation of motion syms x(t) eqn = m*diff(x, t, 2) == m*x*l*g*sin(alpha); % Solve the differential equation xSol(t) = dsolve(eqn); % Initial conditions x0 = ; % initial position v0 = ; % initial velocity % Solve for integration constants constants = solve(xSol(0) == x0, subs(diff(xSol), t, 0) == v0); % Substitute constants and get final solution xFinal(t) = subs(xSol, constants); vFinal(t) = diff(xFinal, t);

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