# ENGG 202 Lecture Notes - Lecture 1: Resultant Force, Toyota Electronic Modulated Suspension

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Published on 26 Jan 2015

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ENGG 202 Tutorial 2 January 15/16, 2013

Vector Addition/Resolving vectors into components

1) The angle θ = 30o. What is the magnitude of the vector rAC? ANS: rAC = 199 mm

Solution Strategy: vector triangle is drawn for

you, use trig (cosine law) to solve for the unknown

magnitude

2) The force F acting on the frame shown has a magnitude of 500 N and is

to be resolved into two components acting along struts AB and AC.

Determine the angle θ (0o < θ < 90o) so that the component FAC is directed

from A towards C and has a magnitude of 400 N. ANS: 76.1o

Solution Strategies: Directions of the components along AB and AC are

known. Draw a force triangle adding vectors tip to tail with the 500 N force

being the resultant. One component is the 400 N force (tail of 400 N

connects to tail of resultant). Other component is added to 400 N vector

and is parallel to line AB. Use trig to solve for the unknown forces/angles.

Rectangular components:

3) The missile’s engine exerts a 260 kN force F. Express F in terms of components using the

coordinate system shown. ANS: 199i + 167j (kN)

Solution Strategy: use trig to find the x and y components

of the force