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atroni [7]
4 years ago
15

I don’t understand how this is solved

Physics
1 answer:
Alexxandr [17]4 years ago
7 0

Here in such type of problems we will say that for the equilibrium of rod torque as well as net force must be balanced

So first we will use the torque balance on the rod about the hinge point

F_T_y \times L = 545\times 1.5 + 315 \times \frac{L}{2}

we know that length of the rod is L = 5 m

now by solving above

F_T_y \times 5 = 817.5 + 787.5

F_T_y = 321 N

now we also know that

F_T_y = F_T sin53

321 = F_T 0.8

F_T = 401.25 N

now by force balance in Y direction

F_T_y + R_y = 545 + 315

321 + R_y = 860

R_y = 539 N

now force balance in X direction

R_x = F_T_x

R_x = F_T cos53

R_x = 401.25 cos53 = 240.75 N

now the net reaction force is given as

R = \sqrt{R_x^2 + R_y^2}

R = \sqrt{240.75^2 + 539^2}

R = 590 N

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