Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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. 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 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. IN YOUR NOTEBOOK. NOT ON THIS SHEET