Consider a system of 3 cables tied together in a knot. Cable 1 is aimed towards

Question

Consider a system of 3 cables tied together in a knot. Cable 1 is aimed towards the upper left at an angle above the horizontal plane. Cable 2 is aimed towards the upper right at an angle 2 above the horizontal plane. Cable 3 is aimed straight down. The tensional forces in cables 1 and 2 are F1 and F2, while the tension in cable 3 is W (the weight of a suspended object) A free-body diagram for this problem would lead to the equations -F cos(01) + F2 cos(02)0 and F1 sin(01) + F2 sin(02) - W -0. Written in matrix-vector form, this is cos(A) sin(A) cos(02) sin(92) F, )(A)-() So, for given , 2 and W, one can solve for the forces F1 and F2 by inverting this matrix (as done in the lecture notes on linear algebra Write a function findForces that takes as input the weight W and the angles 1 and 2, and produces as output the largest (and only the largest) of the forces Fi and F2. And here's a twist the function should take the weight W and the angle as single values (i.e., not arrays), but it should take the angle 2 as an array of values. The output should then be an array of the same length as 2: i.e., the largest of the two forces for each value of 2 Note: This whole set-up is admittedly a bit contrived... the idea here is to force you to use a for loop. Having said that, imagine a situation where we have a single weight and, for some reason, the design is such that always takes on the same value-then this function could be useful to find the largest force for a whole range of 2 angles in one single call to the function. Note 2: The function should take W in Newton and the angles in radians. The order of the input parameters should be W.01, 2 To test your function, try the following case: >>clear > findForces (10, 30*pi/180, [15 35 70]*pi/180) >> ans 13.6603 9.5555 8.7939

Explanation / Answer

Here the function must be passes through maximum number from the x-axis w.r.to y.

so,

  

We could observed that , order of function is inversely related to No. of points on x-axis.

Hence correct option from listed option is (D)

Figure No. Number of intersection through x-axis Nature of function    1 2 f' 2 1 f'' 3 3 f

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---