To determine how the period of a mass-spring system changes when a load is added, we can refer to the formula for the period of simple harmonic motion (SHM) for a mass-spring system:

### Relevant Concepts
The period $ T $ of a mass-spring system is given by the formula:
$$
T = 2\pi \sqrt{\frac{m}{k}}
$$
where:
- $ T $ is the period,
- $ m $ is the mass of the object attached to the spring,
- $ k $ is the spring constant.

### Analysis and Detail
1. **Adding Load**: When a load (additional mass) is added to the spring, the mass $ m $ effectively increases.
2. **Effect on Period**: Since $ m $ is in the numerator of the fraction under the square root in the formula for the period $ T $, an increase in $ m $ leads to an increase in $ T $.

### Verify and Summarize
Thus, when the mass increases due to the added load, the period of the system increases.

### Final Answer
A. increase

Question

To determine how the period of a mass-spring system changes when a load is added, we can refer to the formula for the period of simple harmonic motion (SHM) for a mass-spring system:

### Relevant Concepts
The period $ T $ of a mass-spring system is given by the formula:
$$
T = 2\pi \sqrt{\frac{m}{k}}
$$
where:
- $ T $ is the period,
- $ m $ is the mass of the object attached to the spring,
- $ k $ is the spring constant.

### Analysis and Detail
1. **Adding Load**: When a load (additional mass) is added to the spring, the mass $ m $ effectively increases.
2. **Effect on Period**: Since $ m $ is in the numerator of the fraction under the square root in the formula for the period $ T $, an increase in $ m $ leads to an increase in $ T $.

### Verify and Summarize
Thus, when the mass increases due to the added load, the period of the system increases.

### Final Answer
A. increase

Knowee AI · Accepted Answer

To determine how the period of a mass-spring system changes when a load is added, we can refer to the formula for the period of simple harmonic motion (SHM) for a mass-spring system:

### Relevant Concepts
The period $ T $ of a mass-spring system is given by the formula:
$$
T = 2\pi \sqrt{\frac{m}{k}}
$$
where:
- $ T $ is the period,
- $ m $ is the mass of the object attached to the spring,
- $ k $ is the spring constant.

### Analysis and Detail
1. **Adding Load**: When a load (additional mass) is added to the spring, the mass $ m $ effectively increases.
2. **Effect on Period**: Since $ m $ is in the numerator of the fraction under the square root in the formula for the period $ T $, an increase in $ m $ leads to an increase in $ T $.

### Verify and Summarize
Thus, when the mass increases due to the added load, the period of the system increases.

### Final Answer
A. increase

A spring system execute SHM if a load is added to it, then period of mass spring system will be: A. increase B. decrease C. Remains the same D. None of these

Question

A spring system executes SHM if a load is added to it, then the period of the mass spring system will be:

Solution

Relevant Concepts

Analysis and Detail

Verify and Summarize

Final Answer

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