x2 p125 Force Table Rev by Crivello Jan 2010

x2 p125 Force Table Rev by Crivello Jan 2010 - Physics...

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Physics 125-Force Table 1 SAN DIEGO MESA COLLEGE Name_________________________ PHYSICS 125 LAB REPORT Date__________Time___________ Partners______________________ TITLE: The Force Table ______________________________ _____________________________ Objective: To acquaint the student with the concepts of vector components and vector addition. Theory: A vector A r is a quantity that has both magnitude and direction. The sum S r = A r + B r of two vectors A r and B r is defined either by the triangle rule or the parallelogram rule: The triangle rule is easily generalized to more than two vectors. When x and y axes are chosen, the components of A r are defined by θ sin cos A A A A y x = = where y x A and A are scalars, not vectors, and is the angle between the vector and the x-axis. If x ˆ and y ˆ denote unit vectors in the x and y directions respectively, we can write A r x = A x x ˆ A r y = A y y ˆ Then A r = A r x + A r y Rev. by Crivello 1-20-2010 A r B A S r r r + = B r A r B r B A S r r r + = x y A r y A r x A r A r x y θ y A x A
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Physics 125-Force Table 2 The vector sum can also found by the component method that relies on the equations y y y x x x B A S B A S + = + = The magnitude and direction of S can then be found from Using the Pythagorean formula: x y y x S S S S S 1 2 2 tan - = + = θ The reverse vector A r has the same magnitude of A r but in the opposite direction. We will learn this semester that Force is a vector. When a number of forces A r , B r , C r ,…. act on a small object, the condition for it to remain at rest is that the vector sum of the forces is zero: A r + B r + C r +··· = 0 If only two forces act on the object, one must be the reverse of the other because
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x2 p125 Force Table Rev by Crivello Jan 2010 - Physics...

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