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.

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