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Name: ___________________________________________________________
Date: ___________________
Period: ___________
Chapter 10: Applying Trig Functions
Topic 5: Forces & Vectors
The 2 aspects of a Force are
1)
2)
In general a Force is ___________________________________________________________________________________________
____________________________________________________________________
A Force is represented by a direct line segment, or ______________, in which the length of the vector
represents the ____________________of the force.
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The arrow shows the direction
The length of the arrow indicates magnitude
If a body is acted upon by 2 or more forces at the same time we can express the total effect of all the
forces by one force: ___________________________.
All force/vector problems will look like the following diagram:
We form the parallelogram so that we can use its properties
Parallelogram Properties:
1) Both pairs of opposite sides are congruent
2) The opposite angles are ____________________________
3) Consecutive angles are _________________________________
4) The diagonal divides the parallelogram into ____________________________________________
5) The diagonals are NOT congruent and DO NOT bisect the angles
Name: ___________________________________________________________
Date: ___________________
Period: ___________
FORCES WORD PROBLEMS
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Draw the parallelogram & label ALL known angles and sides, and add letters.
Re-draw & re-label the necessary triangle
Use the Law of Cosines or the Law of Sines to solve.
1. Two forces of 25lbs and 15lbs act on a body so that the angle formed is 75o. To the nearest
pound, find the magnitude of the resultant.
2. Two forces of 12lbs and 7lbs act on a body with an angle of 50 degrees between them. To the
nearest pound, find the magnitude of the resultant.
3. Two forces of 57 lbs. and 43 lbs act on a body with an angle of 65 degrees between them. Find
the magnitude of the resultant to the nearest tenth of a pound.
4. Two forces of 130 and 150 pounds yield a resultant force of 170 pounds. Find, to the nearest
degree, the angle between the original two forces.
5. Two forces of 32lbs and 41lbs act on a body such that the magnitude of the resultant is 49 lbs.
To the nearest degree, find the angle between the two original forces.
6. One force of 30 pounds and one force of 20 pounds act on a body at the same point so that the
resultant force is 45 pounds. Find, to the nearest degree, the angle between the original two
forces.
7. Two forces act on a body so that the resultant is a force of 50 pounds. The measures of the
angles between the resultant and the forces are 25o and 38o. Find the magnitude of the larger
applied force to the nearest pound.
8. When forces of 20 pounds and 25 pounds act on a body, the magnitude of the resultant force is
30 pounds. Find the measure of the angle between the resultant and the smaller force to the
nearest degree.
9. Two forces of 36 lbs and 52 lbs act on a body with a resultant force of 36 lbs. The angle between
the smaller force and resultant is 41 degrees. Find, to the nearest tenth of a degree the angle
between the resultant and the larger force.
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