Determine the in the horizontal massless cable CD. Express your answer to two si

Question

Determine the in the horizontal massless cable CD. Express your answer to two significant figures and include the appropriate units. F_r = Determine the vertical component of the force exerted by the pivot. A on the aluminum pole. Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the is downward. Determine the horizontal component of the force by the pivot A on the aluminum pole. Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value in the direction of the force it to the left.

Explanation / Answer

Here ,
let the tension in the cable is T

part A)

balancing the torque about the pivot point

T * 3.80 - 24 * 9.8 * 7 * cos(37 degree) - 10.5 * 7/2 * 9.8 * cos(37 degree) = 0

solving for T

T = 421.7 N

the tension in the cable is 421.7 N

part B)

for the vertical force V

V - 10.8 * 9.8 - 24 * 9.80 = 0

V = 341 N

the vertical force is 341 N

part C)

horizontal force = T

horizontal force = 421.7 N

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