Question

Please help me solve the bottom two question using Matlab and show the steps to do it. Thanks. i appreciate your help

(12 points each) 10. In dynamics course, a particle move in the elliptical slots due to the motion of the slotted link as shown on the figure. The normal acceleration of the particle is proportional to the velocity square over the radius of curvature (r). + y2 = 1000 _(1 + (x) 325 r(x) = — a) Calculated the radius of curvature r(x) at x =4.5. x?/10+y=1000 b) Plot r(x) for x from 0 to 10. (note: rewrite equation y(x); absolute function in MATLAB is abs() 11. The data (speed v (m/s) v.s. time 1 (s)) of an object that travels on a surface is given below. +(s) 0 1 2 3 4 5 7 9 11 14 16 17 35 45 50 60 v (m/s) 0 2.4 3.6 4.8 5.0 5.1 5.0 5.8 7.9 8.8 10.5 11.4 12.0 12.5 12.2 9.2 a) Estimate the average acceleration at t=4 s. b) Estimate the distance s the object travels from 5 to 60 seconds.

Answer 1

Using Trapizoidal rule to calculate the area under the curve

The area under the curve in t-v diagram gives displacement

The code

t=[0 1 2 3 4 5 7 9 11 14 16 17 35 45 50 60];
v=[0 2.4 3.6 4.8 5.0 5.1 5.0 5.8 7.9 8.8 10.5 11.4 12.0 12.5 12.2 9.2];
n=find(t==4);
a_avg=(v(n)-v(1))/(t(n)-t(1));
t_new=t(n+1:end);
v_new=v(n+1:end);
s=trapz(t_new,v_new);
str=sprintf('a)The avg acce at t=4 is %d',a_avg);
str2=sprintf('b)the total distance is %d',s);
disp(str)
disp(str2)

Command Window >> HomeworkLib a) The avg acce at t=4 is 1.250000e+00 b) the total distance is 5.917500e+02 fx >> ноо со чол во ме Editor - C:\Users\rezaa\Documents\MATLAB\HomeworkLib.m OX HomeworkLib. mx t=[0 1 2 3 4 5 7 9 11 14 16 17 35 45 50 60); v=[0 2.4 3.6 4.8 5.0 5.1 5.0 5.8 7.9 8.8 10.5 11.4 12.0 12.5 12.2 9.2]; n=find (t==4); a_avg= (v (n)-V (1))/(t (n)-t (1)); t new=t (n+1:end); v new=v (n+1:end); s=trapz (t_new, v_new); str=sprintf('a) The avg acce at t=4 is %d', a avg); str2=sprintf('b) the total distance is %d',s); disp (str) disp(str2)