How do I solve this problem? Finding the resultant vector

AI Thread Summary
To find the resultant vector from a series of displacements in the xy-plane, the displacements of 60 mm in the +y-direction, 30 mm in the -x-direction, 40 mm at 150°, and 50 mm at 240° need to be resolved into their components. The user initially calculated the components incorrectly, particularly for the -x direction. After correcting the x-component of the second vector to -30 mm, the resultant displacement was confirmed to be 97 mm at an angle of 158°. The discussion emphasizes the importance of accurately breaking down vector components for correct calculations.
a321
Messages
3
Reaction score
0

Homework Statement



Starting at the origin of coordinates, the following displacements are made in the xy-plane (that is, the displacements are coplanar): 60 mm in the +y-direction, 30 mm in the Ñx-direction, 40 mm at 150°, and 50 mm at 240°. Find the resultant displacement both graphically and algebraically.

Homework Equations



Addition of vector components

The Attempt at a Solution



I tried to break it into components:
Ax=0
Bx=30
Cx=-34.6
Dx= -25

Ay=60, By=0, Cy=20, Dy=-43.3

However The answer is 97mm at 158°
How did they get this answer?

THANKS for your help!
 
Physics news on Phys.org
welcome to pf!

hi a321! welcome to pf! :smile:

shouldn't Bx be minus 30 ? :wink:​
 
Oh wow! Yes you are right! thanks so much!
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

Resultant Vector using Components
Replies
2
Views
2K
Find Resultant Displacement Vector in Unit Vector Notation
Replies
14
Views
3K
Find the magnitude and direction of vectorA - vector B?
Replies
2
Views
10K
Two Beam Problem: Solve 6 Equations, 7 Unknowns
Replies
12
Views
1K
How do I solve this vector problem involving three ropes and a rough surface?
Replies
2
Views
1K
Component vector method for resultant force
Replies
2
Views
7K
How do I make the resultant vector equal zero?
Replies
3
Views
11K
How do I determine the resultant vector R from R = A + B ?
Replies
13
Views
9K
Trouble with basic Vector Addition Problem
Replies
5
Views
2K
How Do You Calculate Vector Magnitudes and Directions from Given Angles?
Replies
5
Views
9K

Hot Threads

Recent Insights

Back
Top