Difference between revisions of "Balanced Forces"
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The [[force]]s are '''balanced'''. | The [[force]]s are '''balanced'''. | ||
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+ | {| class="wikitable" | ||
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+ | |[[File:BalancedForces7.png|center|600px]] | ||
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+ | | style="height:20px; width:200px; text-align:center;" | | ||
+ | Whether these [[force]]s are '''balanced''' can be found by [[Resolving Forces|resolving]] the blue [[force]] [[vector]]s into the [[horizontal]]. See [[Resolving Forces]]. | ||
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+ | <math>F_{right} = 50\cos37 + 50\cos37</math> | ||
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+ | <math>F_{right} = 79.86N</math> | ||
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+ | Since the [[angle]] in the question is given to two [[Significant Figures|significant figures]] the answer should also be quoted to two [[Significant Figures|significant figures]]. | ||
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+ | <math>F_{right} \approx 80N</math> | ||
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+ | <math>F_R = F_{right} - F_{left}</math> | ||
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+ | <math>F_R = 80 - 80</math> | ||
+ | |||
+ | <math>F_R = 0N</math> | ||
|} | |} |
Revision as of 15:13, 6 February 2019
Contents
Key Stage 3
Meaning
Balanced Forces are forces that are the same strength but acting in opposite directions.
About Balanced Forces
The 7N up is balanced by the 7N down. | The 4N left is balanced by the 4N right. | The 6N up is balanced by the 6N down and the 5N left is balanced by the 5N right. |
Key Stage 4
Meaning
Balanced forces are force vectors which add together to make 0N resultant force.
About Balanced Forces
- When forces on an object are balanced there is no acceleration (change speed or direction).
- Balanced forces are related to Newton's First Law of motion:
- An object in motion will tend to stay in motion and an object at rest will tend to stay at rest unless an unbalanced force acts upon it.
- If the resultant force on an object is zero, then the forces are balanced.
Examples
\(F_R = F_{up} - F_{down}\) \(F_R = 3 - 3\) \(F_R = 0N\) The forces are balanced. |
\(F_R = F_{right} - F_{left}\) \(F_R = 80 - 80\) \(F_R = 0N\) The forces are balanced. |
\(F_{Horiztonal} = F_{right} - F_{left}\) \(F_{Horiztonal} = 40 - 40\) \(F_{Horiztonal} = 0N\) \(F_{Vertical} = F_{up} - F_{down}\) \(F_{Vertical} = 38 - 38\) \(F_{Vertical} = 0N\) The forces are balanced. |
Whether these forces are balanced can be found by resolving the blue force vectors into the horizontal. See Resolving Forces. \(F_{right} = 50\cos37 + 50\cos37\) \(F_{right} = 79.86N\) Since the angle in the question is given to two significant figures the answer should also be quoted to two significant figures. \(F_{right} \approx 80N\) \(F_R = F_{right} - F_{left}\) \(F_R = 80 - 80\) \(F_R = 0N\) |