Question #201073

Given that T = 28.3 kN and W = 25 kN, determine the magnitude and sense of t he moments about point B of the following: a. the force T; b. the force W; c. forces T and W combined.


1
Expert's answer
2021-06-08T09:34:34-0400

Gives

T=28.3kN

W=25N




Moment about point P

(a)


Now

Take components

F=TcosθF=Tcos\theta

F=28.3cos45°F=28.3cos45°

F= 20.011 KN

d=20 m

Now torque

τ=Tcos45×20\tau=Tcos45\times20


τ=400.22KNm\tau =400.22KN-m


(b)

Point B corresponding

d=16m

Force of W

W=F=25kN

Torque

τ=16×25kN\tau =-16\times25 kN


τ=400kNm\tau=-400kN- m


(C)

Net(W and T combination)



τnet=400.22400=0.22KNm\tau_{net}=400.22-400 =0.22KN-m


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