Name ________________________________ #______ | Date _________ | |
Section _________ |
Regents Physics |
Worksheet On Combining Forces, And Resolving Forces
Instructions: Use the graphical method to find the resultant and equilibrant for the following force problems.
Definitions:
- Resultant - the single force that is equal to 2 or more forces.
- Equilibrant - the single force that will balance 2 or more forces.
- Equal in magnitude but opposite in direction of the resultant.
Important:
PART I
1) Force of 5.0 N south acts concurrently with a force of 5.0 N 30° South of East.
A. Draw the diagram – TAIL to TAIL
B. Label both vectors (see page one for example)
C. Draw and LABEL the resultant and equilibrant
D. Find the magnitude and direction of the resultant and equilibrant
(scale: 1 cm = 1 N)
Start vectors at dot
**** REMEMBER: VECTORS HAVE MAGNITUDE AND DIRECTION ****
RESULTANT
= |
EQUILIBRANT = |
2) A force of 9.0 N North acts concurrently with a force of 20. N 37° S of West
Create an appropriate scale for this vector drawing (scale : 1cm =___ N )
A. Draw the diagram – “TAIL to TAIL”
B. Label both vectors (see page one for example)
C. Draw and LABEL the resultant and equilibrant
D. Find the magnitude and direction of the resultant and equilibrant
.
Start vectors here
(Did you remember to convert cm to N using your scale??)
RESULTANT
= |
EQUILIBRANT = |
Part II Concurrent Forces Separated By A 90. ° Angle
Find the resultant and equilibrant for the following force problems:
3 ) 10. N North acting concurrently with a force of 10. N East.
Come up with a scale that makes sense for this problem: 1 cm = _____ N
A. Draw the diagram – “TAIL to TAIL”
B. Label both vectors (see page one for example)
C. Draw and LABEL the resultant and equilibrant
D. Find the magnitude and direction of the resultant and equilibrant
.
Start
here
RESULTANT
= |
EQUILIBRANT = |
4) A 10. N North force is combined with a force of 17 N East.
(scale : 1 cm =
___N )
A. Draw the diagram – TAIL to TAIL
B. Label both vectors (see page one for example)
C. Draw and LABEL the resultant and equilibrant
D. Find the magnitude and direction of the resultant and equilibrant
RESULTANT
= |
EQUILIBRANT = |
5) A force of 9.0 N North and 12 N East act concurrently on a body.
A. Draw the diagram – ***HEAD TO TAIL***
B. Label both vectors (see page one for example)
C. Draw and LABEL the resultant and equilibrant
D. Find the magnitude and direction of the resultant and equilibrant
(scale :
1cm = 2N )
RESULTANT
= |
EQUILIBRANT = |
Part III - Resolution Of Forces
6) Draw AND label the horizontal and vertical component of the force below.
1 cm = 10 N
a) Use the scale given above to find the magnitude (size) of the force drawn
__________
b) What is the direction of the force? (include angle and
direction) _______
c) What is the magnitude and direction of the horizontal component? ______
d) What is the magnitude and direction of the vertical component _______
7. A force of 6.0 Newtons 30. degrees south of east acts on the object below.
a) Draw the force on the object
b) Draw AND label the horizontal and vertical
component
c) Find the magnitude and direction of the:
Horizontal component_______________ Vertical component ____________
b) If the angle of the force were increased, the vertical component would
_____________ and the
horizontal component would ____________