Four beads, each of mass m = 1 kg, are attached at various locations to a ring, also of mass m = 1 kg, and radius M R = 1 m (see figure). Find the coordinates of the center of mass of the system consisting of the ring and the beads. m. Angle A, located between the first bead and the horizontal, R is equal to 43°. Angle B, located between the horizontal and the second bead, is equal to 50°. Angle C, located D between the third bead and the horizontal, is equal to 68°. Angle D, located between the horizontal and the fourth bead, is equal to 31°. B Xcm m m, Yem = m ||
Four beads, each of mass m = 1 kg, are attached at various locations to a ring, also of mass m = 1 kg, and radius M R = 1 m (see figure). Find the coordinates of the center of mass of the system consisting of the ring and the beads. m. Angle A, located between the first bead and the horizontal, R is equal to 43°. Angle B, located between the horizontal and the second bead, is equal to 50°. Angle C, located D between the third bead and the horizontal, is equal to 68°. Angle D, located between the horizontal and the fourth bead, is equal to 31°. B Xcm m m, Yem = m ||
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![Four beads, each of mass \( m = 1 \) kg, are attached at various locations to a ring, also of mass \( m = 1 \) kg, and radius \( R = 1 \) m (see figure). Find the coordinates of the center of mass of the system consisting of the ring and the beads.
Angle \( A \), located between the first bead and the horizontal, is equal to \( 43^\circ \). Angle \( B \), located between the horizontal and the second bead, is equal to \( 50^\circ \). Angle \( C \), located between the third bead and the horizontal, is equal to \( 68^\circ \). Angle \( D \), located between the horizontal and the fourth bead, is equal to \( 31^\circ \).
\[ x_{cm} = \quad \text{m} \]
\[ y_{cm} = \quad \text{m} \]
**Diagram Explanation:**
- The diagram features a circle representing a ring, centered around the origin of an \( xy \)-coordinate system.
- Four beads, labeled \( m_1, m_2, m_3, \) and \( m_4 \), are positioned at various angles on the circumference.
- Light blue lines connect each bead to the center of the circle, depicting their radial positions.
- Arrows labeled \( A, B, C, \) and \( D \) indicate the angles between the horizontal axis and the lines connecting the center to each bead.
- The \( x \)-axis runs horizontally, and the \( y \)-axis runs vertically, intersecting at the center.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f6dc858-dc6a-4614-8154-d70dfca22707%2F9557ed4e-ecdd-4971-a3c0-70c97a8b9364%2Fq12bnn_processed.png&w=3840&q=75)
Transcribed Image Text:Four beads, each of mass \( m = 1 \) kg, are attached at various locations to a ring, also of mass \( m = 1 \) kg, and radius \( R = 1 \) m (see figure). Find the coordinates of the center of mass of the system consisting of the ring and the beads.
Angle \( A \), located between the first bead and the horizontal, is equal to \( 43^\circ \). Angle \( B \), located between the horizontal and the second bead, is equal to \( 50^\circ \). Angle \( C \), located between the third bead and the horizontal, is equal to \( 68^\circ \). Angle \( D \), located between the horizontal and the fourth bead, is equal to \( 31^\circ \).
\[ x_{cm} = \quad \text{m} \]
\[ y_{cm} = \quad \text{m} \]
**Diagram Explanation:**
- The diagram features a circle representing a ring, centered around the origin of an \( xy \)-coordinate system.
- Four beads, labeled \( m_1, m_2, m_3, \) and \( m_4 \), are positioned at various angles on the circumference.
- Light blue lines connect each bead to the center of the circle, depicting their radial positions.
- Arrows labeled \( A, B, C, \) and \( D \) indicate the angles between the horizontal axis and the lines connecting the center to each bead.
- The \( x \)-axis runs horizontally, and the \( y \)-axis runs vertically, intersecting at the center.
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