What is the angle, measured relative to the positive x-axis, of the load's acceleration? (The correct answer is: -10.219 degrees) Just need the steps to get there  b.) Three horses pull and guide a 132 kg payload down a river, exerting the forces shown in the figure, with F1 = 29 N, F2 = 38 N, F3

Elements Of Electromagnetics
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a.) What is the angle, measured relative to the positive x-axis, of the load's acceleration?

(The correct answer is: -10.219 degrees) Just need the steps to get there 

b.) Three horses pull and guide a 132 kg payload down a river, exerting the forces shown in the figure, with F1 = 29 N, F2 = 38 N, F3 = 58 N, θ1 = 30°, and θ2 = 60°. What is the magnitude of the payload's acceleration?

(The correct answer is: 0.7861 m/s^2)Just need the correct steps to get there 

**Problem Description:**

Three horses pull and guide a 132 kg payload down a river, exerting the forces shown in the figure, with \( F_1 = 29 \, \text{N} \), \( F_2 = 38 \, \text{N} \), \( F_3 = 58 \, \text{N} \), \( \theta_1 = 30^\circ \), and \( \theta_2 = 60^\circ \). What is the magnitude of the payload's acceleration?

**Diagram Explanation:**

The diagram shows a top view of a river with a rectangular payload object floating on it. 

- Three horses are depicted, each pulling the payload with a different force.
- The forces \( F_1, F_2, \) and \( F_3 \) are represented as arrows pointing away from the object.
- \( F_1 = 29 \, \text{N} \) acts at an angle \( \theta_1 = 30^\circ \) from the vertical \( y \)-axis.
- \( F_2 = 38 \, \text{N} \) acts along the vertical \( y \)-axis.
- \( F_3 = 58 \, \text{N} \) acts at an angle \( \theta_2 = 60^\circ \) from the vertical \( y \)-axis.
- The \( x \)- and \( y \)-axes are drawn through the center of the payload to represent the coordinate system.
Transcribed Image Text:**Problem Description:** Three horses pull and guide a 132 kg payload down a river, exerting the forces shown in the figure, with \( F_1 = 29 \, \text{N} \), \( F_2 = 38 \, \text{N} \), \( F_3 = 58 \, \text{N} \), \( \theta_1 = 30^\circ \), and \( \theta_2 = 60^\circ \). What is the magnitude of the payload's acceleration? **Diagram Explanation:** The diagram shows a top view of a river with a rectangular payload object floating on it. - Three horses are depicted, each pulling the payload with a different force. - The forces \( F_1, F_2, \) and \( F_3 \) are represented as arrows pointing away from the object. - \( F_1 = 29 \, \text{N} \) acts at an angle \( \theta_1 = 30^\circ \) from the vertical \( y \)-axis. - \( F_2 = 38 \, \text{N} \) acts along the vertical \( y \)-axis. - \( F_3 = 58 \, \text{N} \) acts at an angle \( \theta_2 = 60^\circ \) from the vertical \( y \)-axis. - The \( x \)- and \( y \)-axes are drawn through the center of the payload to represent the coordinate system.
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