- #1

- 3

- 0

Member ABC is supported by a pin and bracket at C and by an inextensible cable of length

L 7.8 m that is attached at A and B and passes over a frictionless pulley at D. Assuming

P 450 N and 35 and neglecting the mass of ABC and the radius of the pulley, simplify

the problem as much as possible analytically and, for 0 s 6 m, use MS Excel and/or

MATLAB to:

(a) Calculate and plot the tension T in the cable as a function of s ;

(b) Calculate and plot the magnitude of reactions x C and y C at hinge C as a function of s ;

(c) Calculate and plot the magnitude of the reaction at hinge C as a function of s ;

(d) Calculate and plot the angle of the reaction at hinge C (with respect to +x-axis) as a

function of s ;

(e) Determine the maximum tension max T and the corresponding value of s ;

(f) Determine the (absolute) maximum reactions x C & y C and the corresponding values of s ;

(g) Determine the (absolute) maximum reaction C and the corresponding value of s;

(h) If it exists, determine the value of s at which x y C C and the corresponding value of y C .

L 7.8 m that is attached at A and B and passes over a frictionless pulley at D. Assuming

P 450 N and 35 and neglecting the mass of ABC and the radius of the pulley, simplify

the problem as much as possible analytically and, for 0 s 6 m, use MS Excel and/or

MATLAB to:

(a) Calculate and plot the tension T in the cable as a function of s ;

(b) Calculate and plot the magnitude of reactions x C and y C at hinge C as a function of s ;

(c) Calculate and plot the magnitude of the reaction at hinge C as a function of s ;

(d) Calculate and plot the angle of the reaction at hinge C (with respect to +x-axis) as a

function of s ;

(e) Determine the maximum tension max T and the corresponding value of s ;

(f) Determine the (absolute) maximum reactions x C & y C and the corresponding values of s ;

(g) Determine the (absolute) maximum reaction C and the corresponding value of s;

(h) If it exists, determine the value of s at which x y C C and the corresponding value of y C .

**I don't know how to approach this. I think I should look at it when s=0 because it is then a right triangle. I have been told that the member does not move and that only the pulley moves from s=0 to s=6. I continued on after doing some reading and looked at the moment about C and without in cluding tension its a lil over 2100 Nm. Also I broke up P into X and Y components, now the rope of known length is attached to body at 2 points. do i count it twice? If so how do I get the angle it forms at A??**
Last edited: