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Unformatted text preview: Lab 4 Vectors and Vector addition In this lab we will investigate vectors using a force board. The force board is marked in degrees from 0 o to 360 o . Let the 180 – 0 line represent the x axis and the 90 – 270 line represent the y axis. You must be familiar with the following terms: 1. A vector has a magnitude and direction. The direction of a vector is specified by the angle it makes with the x axis. The figure below shows a vector of magnitude 15 N at an angle 35 o with the x axis. 35 o 15 N 1. Resultant of several vectors is the sum of these vectors and it is a single vector that can replace all the other vectors. In the figure below, the resultant of vectors A and B is the vector R . A and B can be replaced by R . A B R 2. Equilibrant of several vectors is equal and opposite to their resultant. It is a single vector that balances several vectors. In the figure below vector E is equal and opposite to R and it is the equilibrant of A and B A B R E Experimentally we will be measuring the equilibrant of two or more vectors and then use it to find their resultant. Question: If 25 N at an angle 215 o is the resultant of two vectors, what is the equilibrant of these vectors? Draw a diagram to illustrate your answer. ACTIVITY 1 : Set up the force table and level it. Hang a 100 g mass corresponding to 0 o and another 100 g corresponding to 60 o . Hang a third mass to balance these two. Question : If a mass of m kg hanging from a string pulls the string with a force of mg Newton (N), what is the force due to the first 100 g? What is the force due to the second 100 g? Record these forces as F 1 and F 2 . . F 1 = ………………………. F 2 = ……………………… Question 2: What is the force balancing F 1 and F 2 ? Record this as F eq . What is the angle F eq makes with the x axis? F eq =……………………… Question 3 : If F eq is the equilibrant of F 1 and F 2 , what is the resultant of F 1 and F 2 ? Give both magnitude and direction....
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 Fall '10
 George
 Physics, Vector Space, Dot Product, Force, 5 cm, Standard basis

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