David hits a ball with a stick so that it travels in a circle. Observe how he is hitting the ball.

#15 - Range of Possible Resultants

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

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

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