A mobile is constructed of light rods, light strings, and beach souvenirs as shown in the figure below. If m. = 12.0 g, find values for the following. (Let d, = 4.60 cm, d, = 5.70 cm, da = 2.80 cm, d, = 5.40 cm, dg = 2.60 cm, and de = 3.50 cm.) di dz ds d4 d5 de (a) m, = (b) m2 = (c) m, =

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A mobile is constructed of light rods, light strings, and beach souvenirs as shown in the figure below. If \( m_4 = 12.0 \, \text{g} \), find values for the following. (Let \( d_1 = 4.60 \, \text{cm} \), \( d_2 = 5.70 \, \text{cm} \), \( d_3 = 2.80 \, \text{cm} \), \( d_4 = 5.40 \, \text{cm} \), \( d_5 = 2.60 \, \text{cm} \), and \( d_6 = 3.50 \, \text{cm} \).)

**Diagram Explanation:**
The diagram illustrates a mobile composed of different sections and elements. The mobile is balanced using rods and strings, with various weights hanging at different lengths.

- **Weights:**
  - \( m_2 \) (hanging from \( d_3 \))
  - \( m_3 \) (hanging from \( d_6 \))
  - \( m_4 = 12.0 \, \text{g} \) balances on the leftmost side with a red fish shape.
  
- **Distances:**
  - \( d_1 \): Distance from the top support to the rod.
  - \( d_2 \): Distance from the central support to \( m_4 \).
  - \( d_3 \): Distance on the leftmost side from the rod to \( m_2 \).
  - \( d_4 \): Distance from the central support inward to the middle.
  - \( d_5 \): Distance below \( d_4 \).
  - \( d_6 \): Distance from the rod to \( m_3 \).

**Find the Masses:**
(a) \( m_1 = \, \underline{\hspace{1cm}} \, \text{g} \)

(b) \( m_2 = \, \underline{\hspace{1cm}} \, \text{g} \)

(c) \( m_3 = \, \underline{\hspace{1cm}} \, \text{g} \)

Fill in the blanks with the calculated masses based on the given conditions and dimensions.
Transcribed Image Text:A mobile is constructed of light rods, light strings, and beach souvenirs as shown in the figure below. If \( m_4 = 12.0 \, \text{g} \), find values for the following. (Let \( d_1 = 4.60 \, \text{cm} \), \( d_2 = 5.70 \, \text{cm} \), \( d_3 = 2.80 \, \text{cm} \), \( d_4 = 5.40 \, \text{cm} \), \( d_5 = 2.60 \, \text{cm} \), and \( d_6 = 3.50 \, \text{cm} \).) **Diagram Explanation:** The diagram illustrates a mobile composed of different sections and elements. The mobile is balanced using rods and strings, with various weights hanging at different lengths. - **Weights:** - \( m_2 \) (hanging from \( d_3 \)) - \( m_3 \) (hanging from \( d_6 \)) - \( m_4 = 12.0 \, \text{g} \) balances on the leftmost side with a red fish shape. - **Distances:** - \( d_1 \): Distance from the top support to the rod. - \( d_2 \): Distance from the central support to \( m_4 \). - \( d_3 \): Distance on the leftmost side from the rod to \( m_2 \). - \( d_4 \): Distance from the central support inward to the middle. - \( d_5 \): Distance below \( d_4 \). - \( d_6 \): Distance from the rod to \( m_3 \). **Find the Masses:** (a) \( m_1 = \, \underline{\hspace{1cm}} \, \text{g} \) (b) \( m_2 = \, \underline{\hspace{1cm}} \, \text{g} \) (c) \( m_3 = \, \underline{\hspace{1cm}} \, \text{g} \) Fill in the blanks with the calculated masses based on the given conditions and dimensions.
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