The uniform beam to the right has a mass of 65kg and a total length of 3m. The beam is supported by a pivot point on its far-left end. Determine the upward force, F, needed to balance the beam. This force is located 2.45m from the pivot point.

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Chapter1: Units, Trigonometry. And Vectors
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2) The uniform beam to the right has a mass of 65kg and a total length of 3m. The beam is supported by a pivot point on its far-left end. Determine the upward force, F, needed to balance the beam. This force is located 2.45m from the pivot point .

This image contains three physics problems regarding torque, force, and angular displacement.

**1) Pulley Torque Problem:**
- **Problem Statement:** Refer to the image on the right. If \( M_1 = 4.5 \, \text{kg} \) and \( M_2 = 10.2 \, \text{kg} \), determine the total torque on the pulley. The radius of the pulley is 13 cm.
  
- **Diagram Description:** A pulley system is shown with two masses, \( M_1 \) and \( M_2 \), hanging on either side of the pulley. The radius \( R \) is marked on the pulley.

**2) Beam Force Problem:**
- **Problem Statement:** The uniform beam to the right has a mass of 65 kg and a total length of 3 m. The beam is supported by a pivot point on its far-left end. Determine the upward force, \( F \), needed to balance the beam. This force is located 2.45 m from the pivot point.
  
- **Diagram Description:** A beam is shown with a pivot on its left end and an upward force \( F \) applied near the right end.

**3) Angular Displacement Problem:**
- **Problem Statement:** A shaft turning at 750 rad/s slows to a stop in 6.55 seconds. What is the angular displacement the shaft rotates during this time?

These problems involve calculating physical quantities using physics principles such as torque, force balance, and rotational kinematics. The accompanying diagrams illustrate the scenarios described.
Transcribed Image Text:This image contains three physics problems regarding torque, force, and angular displacement. **1) Pulley Torque Problem:** - **Problem Statement:** Refer to the image on the right. If \( M_1 = 4.5 \, \text{kg} \) and \( M_2 = 10.2 \, \text{kg} \), determine the total torque on the pulley. The radius of the pulley is 13 cm. - **Diagram Description:** A pulley system is shown with two masses, \( M_1 \) and \( M_2 \), hanging on either side of the pulley. The radius \( R \) is marked on the pulley. **2) Beam Force Problem:** - **Problem Statement:** The uniform beam to the right has a mass of 65 kg and a total length of 3 m. The beam is supported by a pivot point on its far-left end. Determine the upward force, \( F \), needed to balance the beam. This force is located 2.45 m from the pivot point. - **Diagram Description:** A beam is shown with a pivot on its left end and an upward force \( F \) applied near the right end. **3) Angular Displacement Problem:** - **Problem Statement:** A shaft turning at 750 rad/s slows to a stop in 6.55 seconds. What is the angular displacement the shaft rotates during this time? These problems involve calculating physical quantities using physics principles such as torque, force balance, and rotational kinematics. The accompanying diagrams illustrate the scenarios described.
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