Answer to Question #201073 in Mechanics | Relativity for karen

Question

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.

Answer 1

Gives

T=28.3kN

W=25N

Moment about point P

(a)

Now

Take components

$F=Tcos\theta$

$F=28.3cos45°$

F= 20.011 KN

d=20 m

Now torque

$\tau=Tcos45\times20$

$\tau =400.22KN-m$

(b)

Point B corresponding

d=16m

Force of W

W=F=25kN

Torque

$\tau =-16\times25 kN$

$\tau=-400kN- m$

(C)

Net(W and T combination)

$$\tau_{net}=400.22-400 =0.22KN-m$$