Math Problem Statement
Solution
The image shows a problem involving the graphical determination of the resultant of five forces acting at a point , with each force being 1000 kg. The forces are labeled , and , emanating from point , as seen in the diagram. The problem asks to determine the resultant of these forces graphically, with a given scale: 1 cm = 200 kg.
Steps to determine the resultant graphically:
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Draw vectors to scale: Use the given scale (1 cm = 200 kg). Since each force is 1000 kg, each vector will have a length of: So, you need to draw each vector from point with a length of 5 cm in the appropriate direction.
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**Arrange
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Math Problem Analysis
Mathematical Concepts
Vector Addition
Graphical Method for Resultant Forces
Scale Conversion
Formulas
Pythagorean theorem for vector resultant
Scale conversion: 1 cm = 200 kg
Theorems
Law of Parallelogram for Forces
Suitable Grade Level
College Physics / High School Physics
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