Concept explainers
In Prob. 15.10, determine the velocity and acceleration of corner B, assuming that the angular velocity is 9 rad/s and increases at the rate of 45 rad/s2.
The velocity and acceleration of corner3
Answer to Problem 15.11P
The velocity of corner
The acceleration of corner
Explanation of Solution
Given information:
The angular velocity is
Expression of position vector of point
Here, the distance in
Expression of position vector of point
Here, the distance in
Expression of rotation vector along the line
Here, the angular velocity is
Expression of unit vector of point
Here, the magnitude of position vector of point
Expression of magnitude of position vector of point
Here, the distance in
Expression of velocity of point
Here, the of rotation vector along the line
Expression of angular acceleration vector
Here, the angular acceleration is
Expression of acceleration of corner
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Here, the Equation (IX) is a cross product of two vector now change it in determinant form.
Substitute
Substitute
Here, the cross product of two vector, now change it in determinant form.
Conclusion:
The velocity of corner
The acceleration of corner
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