Hinge 60 cm You use a board that is 60 cm long and the cable makes an angle of 40 degrees with the board when the board is held horizontally. You place the spider a distance of r= 29 cm from the hinge. The board has a mass of 3.0 kg and the spider has a mass of 1.2 kg. The hinge applies both a horizontal force.and a vertical force. You will be asked to determine the direction of both of these forces (left, right, up, down). What is the magnitude of the tension in the cable in Newtons? T= 25.92 XN What is the magnitude and direction of the horizontal force from the hinge? Enter a positive number for the magnitude.
Hinge 60 cm You use a board that is 60 cm long and the cable makes an angle of 40 degrees with the board when the board is held horizontally. You place the spider a distance of r= 29 cm from the hinge. The board has a mass of 3.0 kg and the spider has a mass of 1.2 kg. The hinge applies both a horizontal force.and a vertical force. You will be asked to determine the direction of both of these forces (left, right, up, down). What is the magnitude of the tension in the cable in Newtons? T= 25.92 XN What is the magnitude and direction of the horizontal force from the hinge? Enter a positive number for the magnitude.
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![**Title: Physics Problem Illustration - Understanding Forces and Tension**
**Description:**
The following example demonstrates a typical physics problem involving forces, tension, and equilibrium. This problem is designed to help students grasp these concepts by applying them in a practical scenario.
**Scenario:**
You set up a Halloween prank by attaching a small board to a hinge above your front door. The far end of the board is held up by a cable that can be released by remote control. You place a spooky spider on the board that is dropped on unsuspecting trick-or-treaters when you release the cable. The drawing below shows the set-up.
**Diagram Explanation:**
- The diagram shows a side view of the setup.
- A horizontal board is connected to a hinge on its right end, labeled "Hinge."
- The left end of the board is held up by a cable that makes an angle of 40 degrees with the board.
- The length of the board is marked as 60 cm.
- A spider is placed on the board at a distance of \( r = 29 \, \text{cm} \) from the hinge.
- The cable is labeled "cable" and the angle between the cable and the board is given as \( 40^\circ \).
**Given Data:**
- The board has a mass of \( 3.0 \, \text{kg} \).
- The spider has a mass of \( 1.2 \, \text{kg} \).
**Problem Statement:**
1. **Determine the magnitude of the tension in the cable:**
- You need to calculate the tension \( T \) in the cable that keeps the board horizontal.
2. **Determine the magnitude and direction of the horizontal force from the hinge:**
- You are required to find the horizontal component of the force \( F_h \) exerted by the hinge, specifying its magnitude and direction (left or right).
**Example Solutions:**
1. For the tension in the cable, the given answer is:
\[
T = 25.92 \, \text{N} \quad \, \text{[Note: This answer has been marked incorrect in the original image, hence needs re-evaluation or correction]}
\]
2. For the horizontal force from the hinge, the given answer is:
\[
F_h = 19.86 \, \text{N} \quad \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab80388d-1c6d-4941-b895-f7c71cbf5b33%2Fbb8867a1-3325-41a4-ac12-c569c68839ce%2Fj7ofow1j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Physics Problem Illustration - Understanding Forces and Tension**
**Description:**
The following example demonstrates a typical physics problem involving forces, tension, and equilibrium. This problem is designed to help students grasp these concepts by applying them in a practical scenario.
**Scenario:**
You set up a Halloween prank by attaching a small board to a hinge above your front door. The far end of the board is held up by a cable that can be released by remote control. You place a spooky spider on the board that is dropped on unsuspecting trick-or-treaters when you release the cable. The drawing below shows the set-up.
**Diagram Explanation:**
- The diagram shows a side view of the setup.
- A horizontal board is connected to a hinge on its right end, labeled "Hinge."
- The left end of the board is held up by a cable that makes an angle of 40 degrees with the board.
- The length of the board is marked as 60 cm.
- A spider is placed on the board at a distance of \( r = 29 \, \text{cm} \) from the hinge.
- The cable is labeled "cable" and the angle between the cable and the board is given as \( 40^\circ \).
**Given Data:**
- The board has a mass of \( 3.0 \, \text{kg} \).
- The spider has a mass of \( 1.2 \, \text{kg} \).
**Problem Statement:**
1. **Determine the magnitude of the tension in the cable:**
- You need to calculate the tension \( T \) in the cable that keeps the board horizontal.
2. **Determine the magnitude and direction of the horizontal force from the hinge:**
- You are required to find the horizontal component of the force \( F_h \) exerted by the hinge, specifying its magnitude and direction (left or right).
**Example Solutions:**
1. For the tension in the cable, the given answer is:
\[
T = 25.92 \, \text{N} \quad \, \text{[Note: This answer has been marked incorrect in the original image, hence needs re-evaluation or correction]}
\]
2. For the horizontal force from the hinge, the given answer is:
\[
F_h = 19.86 \, \text{N} \quad \
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