The scaffold S is raised by moving the roller at A toward the pin at B. If A is approaching B with a speed of 1.5 ft/s, determine the speed at which the platform rises at instant 8 = 60°. The 4-ft links are pin connected at their midpoint. (Use Absolute Motion to solve) 1.5 ft/s D4 ft E B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Description:**

The scaffold \( S \) is raised by moving the roller at point \( A \) toward the pin at point \( B \). If \( A \) is approaching \( B \) with a speed of 1.5 ft/s, determine the speed at which the platform rises at the instant \( \theta = 60^\circ \). The 4-ft links are pin connected at their midpoint.

*(Use Absolute Motion to solve)*

**Diagram Explanation:**

The diagram shows a scissor lift mechanism where:
- The scaffold platform \( S \) is at the top.
- Two diagonal links, labeled \( D \) and \( E \), form an 'X' shape with each having a length of 4 ft.
- The roller at point \( A \) moves horizontally toward point \( B \).
- The angle \( \theta \) at the current configuration is \( 60^\circ \).

**Given Data:**
- Speed of \( A \) towards \( B \): 1.5 ft/s
- Angle \( \theta \): 60 degrees
- Length of links \( D \) and \( E \): 4 ft each

**Objective:**
Determine the vertical speed at which the scaffold platform \( S \) rises using absolute motion principles.
Transcribed Image Text:**Problem Description:** The scaffold \( S \) is raised by moving the roller at point \( A \) toward the pin at point \( B \). If \( A \) is approaching \( B \) with a speed of 1.5 ft/s, determine the speed at which the platform rises at the instant \( \theta = 60^\circ \). The 4-ft links are pin connected at their midpoint. *(Use Absolute Motion to solve)* **Diagram Explanation:** The diagram shows a scissor lift mechanism where: - The scaffold platform \( S \) is at the top. - Two diagonal links, labeled \( D \) and \( E \), form an 'X' shape with each having a length of 4 ft. - The roller at point \( A \) moves horizontally toward point \( B \). - The angle \( \theta \) at the current configuration is \( 60^\circ \). **Given Data:** - Speed of \( A \) towards \( B \): 1.5 ft/s - Angle \( \theta \): 60 degrees - Length of links \( D \) and \( E \): 4 ft each **Objective:** Determine the vertical speed at which the scaffold platform \( S \) rises using absolute motion principles.
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