Can someone explain how do find the components of #vecD#?

Given:
#vecA#
Mass#=30g#
Direction#=10# degrees

#vecB#
Mass#=20g#
Direction#=150# degrees

#vecC#
Mass#=35g#
Direction#=225# degrees

Solve:

#vecA+vecB+vecC+vecD=0#

1 Answer
Mar 12, 2018

See below

Explanation:

Basically this is a closed loop vector. A 4 sided irregular polygon. Think of each side as lengths, where 30g =3 inches ( just arbitrary dimensions)

See image below:
enter image source here

Easiest way to resolve is by evaluationg the vertical and horizontal components for each vector and adding them up. I leave the math to you.

Vector A vertical: #3 sin10#
Vector B vertical : # 2 sin 30#
Vector C vertical : # 3.5 sin225#

Vector A horizontal: #3 cos10#
Vector B horizontal: # 2 cos 30#
Vector C horizontal: # 3.5 cos225#

So Vector D vertical component is =Sum of all vertical values

So Vector D horizontal component is =Sum of all horizontal values

You can now evaluate Vector D magnitude and angle.

As I said above, leaving the math to you.