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Chapter 6: Concurrent and Parallel Forces ( Ewen et al. 2005). 6.1 Forces in Two Dimensions. Objectives: Find the vector sum of concurrent forces. It is possible to find the net force ( F net ) on this rock. Some definitions.
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Chapter 6: Concurrent and Parallel Forces (Ewen et al. 2005) 6.1 Forces in Two Dimensions • Objectives: • Find the vector sum of concurrent forces.
Some definitions • Concurrent forces – are those forces that are applied or act at the same point on an object. • Resultant force – the sum of two or more forces acting at the same point on an object. • The resultant is found like that of any other vector quantities we have analyzed so far. (Remember vectors in standard position and vector tables?)
Example 1 • Two workers move a large crate by applying two ropes at the same point. The first worker applies a force of 525 N due north while the second applies a force of 763 N due east. Find the resultant force.
Example 2 • Two workers move a large crate by applying two ropes at the same point. The first worker applies a force of 525 N at 40.0o north of east while the second worker applies a force of 763 N due east. Find the resultant force.
Example 3 • Three forces are applied at the same point on an object. F1 = 375 N, east; F2 = 575 N, 60.0o north of east; and F3 = 975 N, 10.0o south of west. Find the resultant. (BTW, if the object were 50.0 kg, can you determine the acceleration of this object? Which of Newton’s laws would you use to determine this?)