Concept explainers
A disk of 180-mm radius rotates at the constant rate
The velocity of point
The acceleration of point
Answer to Problem 15.242P
The velocity of point
The acceleration of point
Explanation of Solution
Given information:
The angular velocity of arm
Figure-(1) represents the mechanism of disc system.
Figure-(1)
Write the expression for position vector of point
Here, position vector of point
Write the expression for position vector of point
Here, position vector of point
Write the expression for velocity of point
Here, angular velocity of frame
Write the expression for velocity of point
Here, angular velocity of disc is
Write the expression for velocity of point
Write the expression for acceleration of point
Write the expression for acceleration of point
Write the expression for coriolis component of acceleration.
Write the expression for net acceleration of point
Calculation:
Considering point
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The velocity of point
The acceleration of point
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Chapter 15 Solutions
Vector Mechanics for Engineers: Dynamics
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