Concept explainers
gear reduction system consists of three gears A, B, and C. Knowing that gear A rotates clockwise with a constant angular velocity rpm, determine (a) the angular velocities of gears B and C, (b) the accelerations of the points on gears B and C which are in contact.
Fig. P15.24
(a)
The angular velocities of gears
Answer to Problem 15.24P
The angular velocity of gear
The angular velocity of gear
Explanation of Solution
Given information:
Gear
Concept used:
The velocity
Calculation:
The velocity of the point
Since,
Thus,
The angular velocity of gear
The angular velocity of gear
Conclusion:
The angular velocity of gear
The angular velocity of gear
(b)
The accelerations of the points on gears
Answer to Problem 15.24P
The acceleration of the point on gear
The acceleration of the point on gear
Explanation of Solution
Given information:
Gear
Concept used:
The velocity
The acceleration
Calculation:
The acceleration of the point
Consider point
Consider point
The acceleration of the point on gear
The acceleration of the point on gear
Conclusion:
The acceleration of the point on gear
The acceleration of the point on gear
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Chapter 15 Solutions
Vector Mechanics For Engineers
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