**Problem 2**The [Redacted] Mechanisms Lab is operating a hydraulic cylinder to drive the linkage with a speed of \( v_A = 4 \, \text{ft/s} \) increasing at \( a_A = 3 \, \text{ft/s}^2 \). The dimensions are \( L_{AB} = 1.5 \, \text{ft} \) and \( L_{BC} = 0.75 \, \text{ft} \). At the instant shown \( \theta_A = 60^\circ \) and \( \theta_C = 60^\circ \).Determine the angular velocity and acceleration of link BC.**Diagram Explanation:**The provided diagram shows a mechanism consisting of a linkage system operated by a hydraulic cylinder. The linkage system involves two links, \( L_{AB} \) and \( L_{BC} \), connected at point B with point A and C being fixed supports. - Link \( L_{AB} \) has a length of 1.5 feet, and link \( L_{BC} \) has a length of 0.75 feet.- Point A is moving horizontally with a velocity \( v_A = 4 \, \text{ft/s} \) to the right and an acceleration \( a_A = 3 \, \text{ft/s}^2 \) to the right.- The angles between the horizontal ground and links \( L_{AB} \) and \( L_{BC} \) are \( \theta_A = 60^\circ \) and \( \theta_C = 60^\circ \) respectively.**Steps to Solve:**1. **Determine Linear Velocities:** - Use trigonometric relationships to determine the motion of point B using the known motion of point A. 2. **Calculate Angular Velocity (\(\omega\)) of BC:** - Utilize the relationship between linear velocity and angular velocity, \( v_B = \omega_{BC} L_{BC} \).3. **Determine Linear Accelerations:** - Again, use the acceleration of point A and relationships between points within the linkage to find the acceleration of point B.4. **Calculate Angular Acceleration (\(\alpha\)) of BC:** - Use the relationship \( a_B = \alpha_{BC} L_{BC} \) considering tangential and centripetal components.**

vA=4ft/saA=3ft/s2LAB=1.5ftLBC=0.75ftθA=60°θc=60° To-Find:- Angular velocity and acceleration of link…

Answered: e with a speed of VA = ft/s increasing…

e with a speed of VA = ft/s increasing at The dimensions are LAB = 1.5 ft and LBC = instant shown A = 60° and 0c = 60°. ngular velocity and acceleration of link BC.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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