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Example 1 Add the following harmonic motions analytically and check the solution graphically.

x1 = 4 cos (wt + 100)

x2 = 6 sin (wt + 600)

Solution

Graphical Method

Let us put the two equations as x1 = 4 cos(wt + 10 0 ) = 4 sin(wt + 1000 ) and x2 = 6 sin (wt + 600 ) Now both the equations are in the same form, the vector diagram can be drawn as shown in the adjoining figure.

Procedure

Index

9.1 The Expression A sin wt + B coswt
9.2 Simple Harmonic Motion

Chapter 1

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