Concept explainers
In the position shown, bar DE has a constant angular velocity of 10 rad/s clockwise. Determine (a) the distance h for which the velocity of point F is vertical, (b) the corresponding velocity of point F.
(a)
The distance
Answer to Problem 15.69P
The distance
Explanation of Solution
Given information:
The angular velocity of link DE is
Figure-(1) represents the geometry of links attached in mechanism.
Write the expression for position vector of point
Write the expression for velocity component of point
Here, angular velocity of link
Write the expression for position vector of point
Write the expression for velocity component of
Here, angular velocity of link
Write the expression for velocity component of point
Write the expression for position vector of point
Write the expression for velocity component of point
Here, angular velocity of link
Write the expression for the proportion of rod
Here, horizontal distance of point F from point A is
Write the expression for velocity component
Write the expression for velocity of point
Calculation:
Consider the unit vector
Substitute
Substitute
Substitute
Substitute
Substitute
Compare the coefficient of
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The distance
(b)
The velocity of point
Answer to Problem 15.69P
The velocity of point
Explanation of Solution
Calculation:
Substitute
Conclusion:
The velocity of point
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Chapter 15 Solutions
Vector Mechanics for Engineers: Dynamics
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