Concept explainers
Rod BDE is partially guided by a roller at D that moves in a vertical track. Knowing that at the instant shown the angular velocity of crank AB is 5 rad/s clockwise and that
(a)
The angular velocity of rod
Answer to Problem 15.84P
The angular velocity of rod
Explanation of Solution
Given information:
The angular velocity of crank
Figure-(1) represents the geometry of mechanism.
Figure-(1)
Figure-(2) represents the rod
Figure-(2)
Figure-(2) instantaneous centre of rotation of rod is
Write the expression for velocity at point
Here, angular velocity of crank
Write the relation for triangle
Here, distance of point
Write the expression for angular velocity of rod
Calculation:
Substitute
Substitute
Substitute
Conclusion:
The angular velocity of rod
(b)
The velocity of point
Answer to Problem 15.84P
The velocity of point
Explanation of Solution
Given information:
Write the expression for velocity at point
Here, the distance between point
Write the expression for
Here, distance of point
Write the relation for triangle
Here, distance between
Write the relation for triangle
Here, distance between
Write the relation for triangle
Here, distance between
Write the expression for
Write the expression for angle of velocity at point
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The velocity of point
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Chapter 15 Solutions
Package: Vector Mechanics for Engineers: Dynamics with 2 Semester Connect Access Card
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