The figure (Figure 1) shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m₁ = 100 kg and length L = 5.40 m is supported by two vertical massless strings. String A is attached at a distance d = 2.00 m from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass m₂ = 3500 kg is supported by the crane at a distance = 5.20 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.80 m/s² for the magnitude of the acceleration due to gravity. Figure ng B String A mi < 1 of 1 > m2 Part A Find TA, the tension in string A. Express your answer in newtons using three significant figures. ► View Available Hint(s) 17 ΑΣΦ TA = Submit X Incorrect; Try Again Your answer has dimensions of torque, not force. Part B Previous Answers TB = Find T3, the magnitude of the tension in string B. Express your answer in newtons using three significant figures. ▸ View Availaifle Hint(s) — ΑΣΦ 4 Submit Previous Answers X Incorrect; Try Again ? reset N ? N

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The figure shows a model of a crane that may be mounted on a truck. The crane consists of a rigid uniform horizontal bar with mass \( m_1 = 100 \, \text{kg} \) and length \( L = 5.40 \, \text{m} \). This bar is supported by two vertical massless strings. String A is attached at a distance \( d = 2.00 \, \text{m} \) from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass \( m_2 = 3500 \, \text{kg} \) is supported by the crane at a distance \( x = 5.20 \, \text{m} \) from the left end of the bar.

Throughout this problem, positive torque is counterclockwise, and the magnitude of the acceleration due to gravity is \( 9.80 \, \text{m/s}^2 \).

**Part A:**
Find \( T_A \), the tension in string A.
- Express your answer in newtons using three significant figures.

**Hint:**
Ensure your answer has the dimensions of force, not torque.

**Part B:**
Find \( T_B \), the magnitude of the tension in string B.
- Express your answer in newtons using three significant figures.

**Diagram Explanation:**
The diagram shows the setup of the crane with the horizontal bar and the two strings. The dimensions \( L \), \( d \), and \( x \) are marked along the bar. The mass \( m_2 \) is positioned near the right end of the bar, and the attachment points of strings A and B are indicated on the left.
Transcribed Image Text:The figure shows a model of a crane that may be mounted on a truck. The crane consists of a rigid uniform horizontal bar with mass \( m_1 = 100 \, \text{kg} \) and length \( L = 5.40 \, \text{m} \). This bar is supported by two vertical massless strings. String A is attached at a distance \( d = 2.00 \, \text{m} \) from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass \( m_2 = 3500 \, \text{kg} \) is supported by the crane at a distance \( x = 5.20 \, \text{m} \) from the left end of the bar. Throughout this problem, positive torque is counterclockwise, and the magnitude of the acceleration due to gravity is \( 9.80 \, \text{m/s}^2 \). **Part A:** Find \( T_A \), the tension in string A. - Express your answer in newtons using three significant figures. **Hint:** Ensure your answer has the dimensions of force, not torque. **Part B:** Find \( T_B \), the magnitude of the tension in string B. - Express your answer in newtons using three significant figures. **Diagram Explanation:** The diagram shows the setup of the crane with the horizontal bar and the two strings. The dimensions \( L \), \( d \), and \( x \) are marked along the bar. The mass \( m_2 \) is positioned near the right end of the bar, and the attachment points of strings A and B are indicated on the left.
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