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Angles and Resultants

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Case III Ө ≠ 0 ≠ 180

 

C. Combining Forces - Range of possible resultants

 

Ex) Forces of 100. N and 30. N force act on a body.  

 

Largest Possible Resultant =

 

Smallest Possible Resultant = ?

 

 

 

Largest Possible Resultant

 

= 130 N

 

Smallest Possible Resultant

 

= 70. N

 

 

 

Subtract

 

Smallest Resultant

 

Add

 

Largest Resultant

 

 

 

 

 

Concurrent Forces

All forces pass through
a common point


Not Concurrent

 

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

 

 

Ranking Task

Two forces act on a body. Rank the angles between the forces below, from largest resultants to smallest.

Angle = 90

  


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