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PART I: Determination of the period and frequency of the simple harmonic motion.

ID: 2304169 • Letter: P

Question

PART I: Determination of the period and frequency of the simple harmonic motion. Table # 2: Determination of the period and frequency of the simple harmonic motion Ma (g) =--ng -3.14 e 10 Msu MT T. %difin 10 200 211 .21910 44 0.522 220 229 0-239 11-50 0 240259 0.259 12 24 0:614 Frequency when Maw-200 g. Note exp Mh: Mass of the weight hanger Mes Mass of added slotted weights Mr: Total Mass tro: Time for 10 oscillations Tth: Theoretical veriod mental frequency QUESTIONS: 1. How does the frequency change with increasing mass? 2. How does the frequency change if the spring constant increases? 3. Explain the physical meaning of the spring constant in terms of "stiffness" or "softness" of a spring.

Explanation / Answer

1. Frequency is inversely proportional to the time period and time period is directly proportional to the sqrt(m). Hence frequncy os inversely proportional to 1/sqrt(m). As mass incrases the frequency decreases.

2. Frequency is directly proportional to the sqrt(k). Hence frequency increases.

3. Larger value of k required large value of force to deform it from its natural length.Every material have different value of spring constant.