The cable at end B of the slender rod shown below is replaced with a linear actuator that commands end B to move toward the vertical wall with a constant speed vB = 0.01 ft/s.  Determine the angular velocity and angular acceleration of the beam at the instant when end B begins to move. At this instant, B is a distance d = 10ft away from the vertical wall.  Determine algebraic expressions for the angular velocity and angular acceleration of the beam at the instant when end B has moved a distance xB. Use the given notation and no numerical values. After determining the algebraic expression for computing a quantity, do not substitute the quantity with this expression in subsequent derivations.  Use Matlab to compute the angular velocity and angular acceleration of the beam at every instant when end B has traveled another sB = 0.1 ft toward the vertical wall, until end A reaches the vertical wall.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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The cable at end B of the slender rod shown below is replaced with a linear actuator that commands end B to move toward the vertical wall with a constant speed vB = 0.01 ft/s. 

  1. Determine the angular velocity and angular acceleration of the beam at the instant when end B begins to move. At this instant, B is a distance d = 10ft away from the vertical wall. 
  2. Determine algebraic expressions for the angular velocity and angular acceleration of the beam at the instant when end B has moved a distance xB. Use the given notation and no numerical values. After determining the algebraic expression for computing a quantity, do not substitute the quantity with this expression in subsequent derivations. 
  3. Use Matlab to compute the angular velocity and angular acceleration of the beam at every instant when end B has traveled another sB = 0.1 ft toward the vertical wall, until end A reaches the vertical wall. 
 
4 ft
7.5 ft
0 10 ft
В
Transcribed Image Text:4 ft 7.5 ft 0 10 ft В
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