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P 30° y x Block A moves up the incline at a constant speed of 131 in/s. Pin P rotates counterclockwise in the circular slot in Block A at a speed of 18 in/s. Determine the magnitude of the velocity (in in/s) of Pin P relative to the fixed xy axes (i.e., horizontal, vertical), when 23⁰. Calculate your answer to one decimal place. Report your answer in units of in/s.

P 30° y x Block A moves up the incline at a constant speed of 131 in/s. Pin P rotates counterclockwise in the circular slot in Block A at a speed of 18 in/s. Determine the magnitude of the velocity (in in/s) of Pin P relative to the fixed xy axes (i.e., horizontal, vertical), when 23⁰. Calculate your answer to one decimal place. Report your answer in units of in/s.

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### Velocity Analysis in a Fixed Reference Frame **Problem Statement:** Block A moves up the incline at a constant speed of **131 in/s**. Pin P rotates **counterclockwise** in the circular slot in Block A at a speed of **18 in/s**. **Objective:** Determine the **magnitude of the velocity** (in in/s) of Pin P relative to the fixed **xy axes** (i.e., horizontal, vertical), when **θ = 23°**. Calculate your answer to **one decimal place**. Report your answer in units of **in/s**. **Diagram Explanation:** - The diagram shows a block labeled **A** moving up an inclined plane which is angled at **30°** to the horizontal axis (**x**). - A circular slot is inside Block A. - Pin **P** is positioned in the slot and rotates counterclockwise. - Pin P has coordinates indicated in a rotating reference frame (**x'**,**y'**) relative to Block A, where θ = 23° is the angle positioned relative to the horizontal axis of Block **A**. When solving the problem, consider the following: 1. Calculating the translational velocity component of Block A. 2. Calculating the rotational velocity component of Pin P within the rotating slot. 3. Combining these velocities with respect to the fixed **xy axes**. After combining these components correctly, ensure to express the magnitude of the resultant velocity vector.
Transcribed Image Text:### Velocity Analysis in a Fixed Reference Frame **Problem Statement:** Block A moves up the incline at a constant speed of **131 in/s**. Pin P rotates **counterclockwise** in the circular slot in Block A at a speed of **18 in/s**. **Objective:** Determine the **magnitude of the velocity** (in in/s) of Pin P relative to the fixed **xy axes** (i.e., horizontal, vertical), when **θ = 23°**. Calculate your answer to **one decimal place**. Report your answer in units of **in/s**. **Diagram Explanation:** - The diagram shows a block labeled **A** moving up an inclined plane which is angled at **30°** to the horizontal axis (**x**). - A circular slot is inside Block A. - Pin **P** is positioned in the slot and rotates counterclockwise. - Pin P has coordinates indicated in a rotating reference frame (**x'**,**y'**) relative to Block A, where θ = 23° is the angle positioned relative to the horizontal axis of Block **A**. When solving the problem, consider the following: 1. Calculating the translational velocity component of Block A. 2. Calculating the rotational velocity component of Pin P within the rotating slot. 3. Combining these velocities with respect to the fixed **xy axes**. After combining these components correctly, ensure to express the magnitude of the resultant velocity vector.
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