Three forces are applied to a tree sapling, as shown in(Figure 1) , to stabilize it....

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Question

Three forces are applied to a tree sapling, as shown in(Figure 1) , to stabilize it....

Three forces are applied to a tree sapling, as shown in(Figure 1) , to stabilize it. Suppose that F? A = 355 Nand F? B = 475 N .

Three forces are applied to a tree sapling, as sho

Part A

Determine the magnitude of F? C.

Express your answer to three significant figures and include the appropriate units.

Part B

Determine the angle between F? Aand F? C, measured clockwise.

Express your answer using three significant figures.

Could you explain the whole process and not only the answer, I would like both, thank you?

science physics

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Answer 1

Answer #1

105° 2 Bx CX F 355

A)

F_By = component of F_B along y-direction

F_Bx = component of F_B along x-direction

from the diagram :

F_By = F_B Cos15 = 475 Cos15 = 458.82 N

F_Bx = F_B Sin15 = 475 Sin15 = 122.94 N

Along the X-direction :

F_Bx + F_Cx = F_A

122.94 + F_Cx = 355

F_Cx = 232.1 N

Along the Y-direction :

F_By = F_Cy

F_Cy = 458.82

Fc is given as ::

F_c = sqrt (F_cx² + F_cy²)

F_c = sqrt (232.1² + 458.82²)

F_c = 514.185 N

Angle of F_c with Y-direction is given as

tan $\phi$ = F_cx/F_cy

tan $\phi$ = 232.1/458.82

$\phi$ = 26.84

angle with A = $\theta$ = 90 + 26.84 = 117

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Answer 2

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