Show that for the situations in Figure 14-35a and 14-35b,

Chapter , Problem 97

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QUESTION:

Show that for the situations in Figure 14-35a and 14-35b, the object oscillates with a frequency where is given by (a) and (b) Hint: Find the magnitude of the net force on the object for a small displacement and write Note that in Part(b) the springs stretch by different amounts, the sum of which is x. SSM

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QUESTION:

Show that for the situations in Figure 14-35a and 14-35b, the object oscillates with a frequency where is given by (a) and (b) Hint: Find the magnitude of the net force on the object for a small displacement and write Note that in Part(b) the springs stretch by different amounts, the sum of which is x. SSM

ANSWER:

Step 1 of 3

Consider the coordinate system, assume that the objects are displaced to the right. In the first case, the springs undergo the same displacement. In the second case, they experience the same force (shown in the figure).

Calculate the effective force constant.

Spring constant for first spring,

Spring constant for second spring,

Mass of the block,

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