Answer to Question #233892 in Mechanics | Relativity for Gelo

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

a) Moment due to force T about B $= T cos 45° \times 20$

$= 28.3 cos 45° \times 20 \\ = 297.33 \;kNm$

Positive and anticlockwise

b) Moment due to the W about B $= -W \times 16$

$= -25 \times 16 \\ = -400 \;kNm$

Negative and clockwise

c) Moment due to T and W about B $= 297.33-400$

$= -102.67 \; kNm$

Negative and clockwise