Ex) 100 N and 30. N
Largest =
Smallest = ?
Largest Possible
Resultant
= 130 N
Smallest Possible
Resultant
= 70. N
|
Subtract
Smallest Resultant
Add
Largest
Resultant
|
Ex) Which pair of concurrent forces may have a resultant
of 20 nt?
a) 5 nt + 10 nt
b) 20 nt + 20 nt
c) 20 nt + 50 nt
d) 30 nt + 5 nt
Hint: Find the range of possible resultants for each
choice
|
Max |
Min |
a) 5 nt + 10 nt |
15 nt
|
5 nt |
b) 20 nt +
20 nt |
40 nt |
0 nt |
c) 20 nt + 50 nt |
70 nt
|
30 nt |
d) 30 nt + 5 nt |
35 nt
|
25 nt |
#16 Resultant, q = 90°
Pythagorean Theorum
Ex 1 ) A 5.0 N north, 12 N
force is pulling the object west.
Find the resultant
|
Scale 1 N = 1 cm
2. Make parallelogram
3. Draw diagonal (resultant)
4. Find magnitude & direction of vector
Method Two
- Trig. and
Pythagorean
(More accurate)
1. Use a2 + b2 = c2
(To find magnitude)
5.0 N2 + 12 N2
= R2
13 N 22.6 ° N of W
E. Equilibrant
- Balancing Force
Resultants &
Equilibrants
St. Mary's Physics
The Equilibrant is always
equal in magnitude and opposite in direction to the resultant
If…
Resultant = 5 N 53° N of
W
Then…
Equilibrant = 5 N 53° S of E
1. 10 N2 + 10 N2 = c2
c = 14 nt
2. R = 14 nt 45° S of E
Equilibrant = 14 nt 45° N of W
Equilibrium
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