The 20kg pipe is supported at A by a system of five cords De

The 20-kg pipe is supported at A by a system of five cords. Determine the magnitude of the force in cord BC. Express your answer to three significant figures and include the appropriate units. Determine the magnitude of the force in cord BD. Express your answer to three significant figures and include the appropriate units. Determine the magnitude of the force in cord AB. Express your answer to three significant figures and include the appropriate units.

Solution

Here,

part A)

tension in AB , TAH = m * g

TAH = 20 * 9.8

TAH = 196 N

Now , balancing forces on pin A ,

TAB* sin(60) = TAH

TAB * sin(60) = 196

TAB = 226.3 N

TAE = TAB * cos(60)

TAE = 226.3 * cos(30)

TAE = 113.2 N

Now , balancing forces at pin B

TBD * 3/5 = TAB * cos(30)

TBD * 0.6 = 226.3 * cos(30)

TBD = 326.7 N

TBC = TAB * sin(30) + TBD * 0.8

TBC = 226.3 * sin(30) + 326.7 * 0.8

TBC = 374.5 N

the magnitude of force in cord BC is 374.5 N

part B)
the magnitude of force in BD is 326.7 N

part C)

the magnitude of force in AB is 226.3 N