Concept explainers
(a)
Find the angular acceleration of the bar DE.
(a)
Answer to Problem 15.135P
The angular acceleration of bar DE is
Explanation of Solution
Given information:
The constant angular velocity of AB is
Calculation:
Consider the bar AB.
Show the position
Calculate the velocity at B using the relation:
Substitute
Consider the object BDF.
Consider the position of the point D with respect to B is denoted by
Consider the position of the point F with respect to B is denoted by
Consider the angular velocity of the bar BD is denoted by
Calculate the velocity at D using the relation:
Substitute
Consider the bar DE.
Consider the position of the point D with respect to E is denoted by
The velocity at E is
Calculate the velocity at D using the relation:
Substitute
Equate Equation (1) and (2).
Equate i component of Equation (3) as follows:
Equate j component of the Equation (3).
Substitute
The angular acceleration of AB is
Consider the bar AB.
Calculate the acceleration at B using the relation:
Substitute 0 for
Consider the object BDF.
Calculate the acceleration at D using the relation:
Substitute
Consider the bar DE.
Calculate the acceleration at D using the relation:
Substitute
Equate Equation (4) and (5).
Equate i component of Equation (6).
Thus, the angular acceleration of DE is
(b)
Find the acceleration of point F.
(b)
Answer to Problem 15.135P
The acceleration at F is
Explanation of Solution
Given information:
Calculation:
Refer Part (a).
Consider the position of the point F with respect to point B is denoted by
Calculate the velocity
Substitute
Calculate the magnitude of acceleration at F using the relation:
Find the direction of the acceleration at F as follows:
Thus, the acceleration at F is
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Chapter 15 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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