A hungry bear weighing 730 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see the figure below). The beam is uniform, weighs 200 N, and is 7.00 m long, and it is supported by a wire at an angle of 0 = 60.0°. The basket weighs 80.0 N. Goodies (a) Draw a force diagram for the beam. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) When the bear is at x = 1.16 m, find the tension in the wire supporting the beam. N When the bear is at x = 1.16 m, find the components of the force exerted by the wall on the left end of the beam. (Assume the positive +x direction is to the right and the positive +y direction is upward. Include the sign of the value in your answer.) N F, = N (c) If the wire can withstand a maximum tension of 750 N, what is the maximum distance the bear can walk before the wire breaks? Submit Answer

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## Physics Problem: Beam and Tension Analysis

A hungry bear weighing 730 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam. The beam is uniform, weighs 200 N, is 7.00 m long, and is supported by a wire at an angle of θ = 60.0°. The basket weighs 80.0 N.

### Problem Description

- **Diagram Explanation:**
  - The diagram displays a vertical wall with a beam extending horizontally.
  - A bear is positioned on the beam, moving towards the basket.
  - The beam is supported by a wire at an angle θ = 60.0° to the horizontal.
  - The basket of goodies is hanging at the end of the beam.

### Tasks

(a) **Draw a Force Diagram for the Beam.**  
   - Submit a file with a maximum size of 1 MB.

(b) **Tension in the Wire:**
   - Find the tension in the wire when the bear is at a distance \( x = 1.16 \, \text{m} \).

(c) **Components of Force:**
   - When the bear is at \( x = 1.16 \, \text{m} \), calculate the components of the force exerted by the wall on the left end of the beam.
   - Use the convention: Positive \( +x \) is to the right and positive \( +y \) is upward.

  \[
  F_x = \text{(input value)} \, \text{N}
  \]

  \[
  F_y = \text{(input value)} \, \text{N}
  \]

(d) **Maximum Distance:**
   - If the wire can withstand a maximum tension of 750 N, determine the maximum distance the bear can walk before the wire breaks.

### Additional Information

- Determine values considering the principles of equilibrium and balancing forces and moments.

- Use appropriate physics equations for tension, force components, and torque to solve the problem accurately.

Submit your answers and calculations for review.
Transcribed Image Text:## Physics Problem: Beam and Tension Analysis A hungry bear weighing 730 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam. The beam is uniform, weighs 200 N, is 7.00 m long, and is supported by a wire at an angle of θ = 60.0°. The basket weighs 80.0 N. ### Problem Description - **Diagram Explanation:** - The diagram displays a vertical wall with a beam extending horizontally. - A bear is positioned on the beam, moving towards the basket. - The beam is supported by a wire at an angle θ = 60.0° to the horizontal. - The basket of goodies is hanging at the end of the beam. ### Tasks (a) **Draw a Force Diagram for the Beam.** - Submit a file with a maximum size of 1 MB. (b) **Tension in the Wire:** - Find the tension in the wire when the bear is at a distance \( x = 1.16 \, \text{m} \). (c) **Components of Force:** - When the bear is at \( x = 1.16 \, \text{m} \), calculate the components of the force exerted by the wall on the left end of the beam. - Use the convention: Positive \( +x \) is to the right and positive \( +y \) is upward. \[ F_x = \text{(input value)} \, \text{N} \] \[ F_y = \text{(input value)} \, \text{N} \] (d) **Maximum Distance:** - If the wire can withstand a maximum tension of 750 N, determine the maximum distance the bear can walk before the wire breaks. ### Additional Information - Determine values considering the principles of equilibrium and balancing forces and moments. - Use appropriate physics equations for tension, force components, and torque to solve the problem accurately. Submit your answers and calculations for review.
Expert Solution
Step 1

Given:

Weight of the bear, MB = 730 N

Weight of the beam, M= 200 N

Length of the beam, l = 7 m

Angle between beam and wire, θ = 60o

Weight of the basket, mb = 80 N

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