Question

Four forces act on a 700×375 mm plate as shown, (a) Find the resultant of these forces.

(b)Locate the two points where the line of action of the resultant intersects the edge of the plate.

This is from the 9th edition of the text "Vector Mechanics for Engineers: Statics".The authors are Beer, Johnston, Mazurek, and Eisenberg.

Answer 1

a) From the equilibrium condition

Now, resultant couple

We know that

Therefore, the reaction is

The reaction is acting at an angle

b) We have,

Now,

Now,

Therefore, the resultant intersects at to the right of C and above C

Answer 2

a) From the equilibrium condition

Now, resultant couple

We know that

Therefore, the reaction is

The reaction is acting at an angle

b) We have,

Now,

Now,

Therefore, the resultant intersects at to the right of C and above C