Question

1. Perform the following operations in MATLAB a. Use diff to find the derivative of y = cx2 and use subs to evaluate the resulting function at x = 10 and c = 2.5. Solve dy/dt = The frame shown in the figures below has a load P-1000 lb applied at an angle α-30 degrees. The frame dimensions das and dAD are 16" and 12", respectively. Assuming the surface at each support is frictionless, the following equations can be developed b. ty using dsolve, y(0) = 3, and plot the solution in the interval t-lo 2]. 2. bin, 6 is Fy = 0 = D+E-Pcos (a) Write a MATLAB code to find the reaction forces using backlash. Print the answers to the screen using fprintf Ans (A-327 4 lb B = 827.4 lb, D-620.5 lb, e = 245.5 lb)

Answer 1

SOLUTION TO PROBLEM 1

a)CODE:

**********************************************************************************

syms x
c=2.5;
y=c*x^2;
dy=diff(y)
subs(dy,x,10)

************************************************

OUTPUT:

dy =

5*x


ans =

50

b)CODE:

************************************************************************

syms y(t) t
eqn=diff(y,t)==t*y;
cond=y(0)==3;
ySol(t)=dsolve(eqn,cond)
t=0:2
plot(t,ySol(t))
xlabel('t');
ylabel('y')

**************************************************

OUTPUT;

ySol(t) =

3*exp(t^2/2)

PLOT:

25 20 15 10 5 0 0.2 0.4 0.6 0.8 1 12 1.4 1.6 1.8 2