Concept explainers
Two 25-in. rods are pin-connected at D as shown. Knowing that B moves to the left with a constant velocity of 24 in./s, determine at the instant shown (a) the angular velocity of each rod, (b) the velocity of E.
(a)
The angular velocity of the rod
The angular velocity of the rod
Answer to Problem 15.95P
The angular velocity of the rod
The angular velocity of the rod
Explanation of Solution
Given information:
The angular velocity of the rod
The following figure represents the rod
Figure-(1)
Write the expression for the angular velocity of the rod
Here, the angular velocity of the rod
The following figure represents the rod
Figure-(2)
Write the expression for the angular velocity of the rod
Here, the angular velocity of the rod
Write the expression for
Here, the distance between the point
Write the expression for the velocity at the point
Write the expression for the
Here, the distance between the point
Calculation:
Substitute
The angular velocity of the rod
Substitute
Substitute
Substitute
Substitute
The angular velocity of the rod
Conclusion:
The angular velocity of the rod
The angular velocity of the rod
(b)
The velocity of the point
Answer to Problem 15.95P
The velocity of the point
Explanation of Solution
Given information:
The angular velocity of the rod
Write the expression for the point
Here, the angular velocity of the point
Calculation:
Substitute
The velocity of the point
Conclusion:
The velocity of the point
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Chapter 15 Solutions
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