# Simple Harmonic Motion: Pendulum of Clock Replaced by Spring-Mass

#### hermy

1. Homework Statement

The pendulum of a clock is replaced by a spring-mass system with the spring having spring constant 0.1 N/m. What mass should be attached to the spring?

2. Homework Equations

T=2 pi (m/k)1/2

3. The Attempt at a Solution

1 = 2 pi (m/0.1)1/2
1 = 4 pi2 m/0.1

solving this, m= 25 grams

The answer is supposed to be 10 grams. What is wrong in my solution?

Thanks for the help.

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#### Doc Al

Mentor
1 = 2 pi (m/0.1)1/2
1 = 4 pi2 m/0.1

solving this, m= 25 grams
You're off by a factor of 10.

The answer is supposed to be 10 grams. What is wrong in my solution?
You are assuming that the period is 1 second. Was that specified in the problem? (Was information given about the pendulum?)

#### hermy

I'm sorry, this question turned out to be quite easy. I came to know that the time period of a pendulum clock is 2s. Putting all this together, the answer does come out. Thanks for the help.

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