Concept explainers
Ring C has an inside radius of 55 mm and an outside radius of 60 mm and is positioned between two wheels A and B, each of 24-mm outside radius. Knowing that wheel A rotates with a constant angular velocity of 300 rpm and that no slipping occurs, determine (a) the angular velocity of ring C and of wheel B, (b) the acceleration of the points on A and B that are in contact with C.
Fig. . P15.26
(a)
The angular velocity of ring
Answer to Problem 15.26P
The angular velocity of ring
The angular velocity of wheel
Explanation of Solution
Given information:
Inside radius of ring
Outside radius of ring
Outside radius of wheels
Wheel
No slipping occurs.
Concept used:
The velocity
Calculation:
The velocity of the point
The point of ring
Here, the outer radius of the ring
The ponit of wheel
Here, the inner radius of the ring
The angular velocity of ring
The angular velocity of wheel
Conclusion:
The angular velocity of ring
The angular velocity of wheel
(b)
The accelerations of the points on
Answer to Problem 15.26P
The accelerations of the point on
The accelerations of the point on
Explanation of Solution
Given information:
Inside radius of ring
Outside radius of ring
Outside radius of wheels
Wheel
No slipping occurs.
Concept used:
The acceleration
Calculation:
The acceleration of the point
Consider the point on
Consider the point on
The accelerations of the point on
The accelerations of the point on
Conclusion:
The accelerations of the point on
The accelerations of the point on
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Chapter 15 Solutions
Vector Mechanics For Engineers
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