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Q. 79

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 487

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Short Answer

When mass is tied to the bottom of a long, thin wire suspended from the ceiling, the wire's second-harmonic frequency is Adding an additional to the hanging mass increases the second-harmonic frequency. What is ?

The suspended mass is kg.

See the step by step solution

Step by Step Solution

Step 1: Given information

Second harmonic frequency when mass is suspended

When is suspended, (second harmonic frequency)

Length of wire (same for both frequencies as the same wire is used for both masses) (Same for both frequencies as the same wire is used)

Formula:

(General frequency for the second harmonic)

(Tension in the wire due to suspended masses)

Step 2: Calculation

(I) When the mass is suspended

Both sides are squaring up

(II) when the mass is suspended.

Both sides are squaring up

Dividing equation (I) from equation (II)

We compute that the initial mass hanging from the wire is kg using both frequencies.

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