Concept explainers
Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) the angular velocity of rod AD. (b) the velocity of collar D. (c) the velocity of point A.
Fig. 15.84
(a)
The angular velocity of the rod
Answer to Problem 15.84P
The angular velocity of the rod
Explanation of Solution
Given information:
At the instant shown, the angular velocity of rob
Concept used:
The angular velocity (
Calculation:
At the instant shown, the angular velocity of rob
Therefore the velocity at point
be downward directed. (The point
Thus, the instantaneous center can be found by drawing the lines perpendicular to
Point
Consider the motion of the rod
The velocity at point
Then, consider the motion of the point
The angular velocity the rod
Thus, the angular velocity of the rod
Conclusion:
The angular velocity of the rod
(b)
The velocity of collar
Answer to Problem 15.84P
The velocity of collar
Explanation of Solution
Given information:
At the instant shown, the angular velocity of rob
Concept used:
The angular velocity (
Calculation:
Point
Consider the motion of point
From part (a),
The velocity of point
Thus, the velocity of collar
Conclusion:
The velocity of collar
(c)
The velocity of point
Answer to Problem 15.84P
The velocity of point
Explanation of Solution
Given information:
At the instant shown, the angular velocity of rob
Concept used:
The angular velocity (
Calculation:
Point
Consider the motion of point
From part (a),
The velocity of point
Thus, the velocity of point
Conclusion:
The velocity of point
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Chapter 15 Solutions
Vector Mechanics For Engineers
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