Question

If a=45 degrees and B=60 degrees and M =5.0 kg, determine the tension in string 1

Answer 1

assuming that the string 1 has angle of a=45 degrees with the vertical and strinb 2 has b=60 degrees with the vertical,

let the tension in the first string be x and the tension in the second string be y.so,

balancing forces in the horizontal direction,

x*sin(45)=y*sin(60) --------------(a)

balancing forces in the vertical direction,

x*cos(45) + y*cos(60) = mg

ot x*cos(45) + y*cos(60) = 5*9.81 --------------(b)

solve the above two equations, we get

x=43.977 N

y=35.9 N