Concept explainers
In the position shown, bar DE has a constant angular velocity of 10 rad/s clockwise. Knowing that
(a)
The angular velocity of rod
Answer to Problem 15.68P
The angular velocity of rod
Explanation of Solution
Given Information:
The constant angular velocity of bar
Draw the schematic diagram for the system.
Figure-(1)
Write the expression for the velocity component at point
Here, the angular velocity at point
Write the expression for the relative velocity component at point
Here, the angular velocity at point
Write the expression for the velocity of point
Here, the velocity at point
Write the expression for the velocity component
Calculation:
Consider the unit vector along
The coordinate of the point
The coordinate of the point
The coordinate of the point
Substitute
Substitute
Substitute
Substitute
Substitute
Compare the component along
Compare the component along
Substitute
Conclusion:
The angular velocity of rod
(b)
The velocity of point
Answer to Problem 15.68P
The velocity of point
Explanation of Solution
Given Information:
Write the expression for the proportion of the rod
Here, the distance between the point
Write the expression for the position vector at point
Write the expression for the velocity component at
Write the expression for the velocity at point
Write the expression for the resultant velocity at point
Here, the coefficient of
Write the expression for the angle of the velocity at point
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The velocity of point
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Chapter 15 Solutions
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