Concept explainers
(a)
Find the relative velocity of the block with respect to the each rod.
(a)
Answer to Problem 15.257RP
The relative velocity of the rod AE, BD, are
Explanation of Solution
Given information:
The value of the angle is
Calculation:
Consider the value of the angle as
Show the geometry of the assembly as shown in Figure 1.
Refer to Figure 1.
Show the relation between the distances
Calculate the distances
Consider the common angular velocity and angular acceleration of the rod AE and BD are
Consider the double slider H as a particle sliding along the rotating rod AH with relative velocity
Consider
Calculate the velocity at
Calculate the acceleration at
Calculate the corresponding coriolis acceleration as follows:
Show the velocity and acceleration at H as follows:
Consider the double slider H is a particle sliding along BD with relative velocity
Consider the point
Calculate the velocity and acceleration at
Calculate the corresponding coriolis acceleration as follows:
Show the velocity and acceleration at H as follows:
Equate vertical components of Equation (1) and (3).
Equate horizontal components of Equation (1) and (3).
Substitute
Equate the vertical component of Equation (5) and (6)
Equate the horizontal component of Equation (5) and (6)
Thus, the relative velocity of the rod AE, BD, are
(b)
Find the relative acceleration of each rod.
(b)
Answer to Problem 15.257RP
Thus, The relative acceleration of the rod AE and BD are
Explanation of Solution
Given information:
Calculation:
Refer Part (a).
The relative acceleration of the rod AE and BD are
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Chapter 15 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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