Concept explainers
The disk shown moves in the xy p1ane. Knowing that
Fig. P15.44 and P15.45
(a)
The velocity of point O
Answer to Problem 15.45P
Explanation of Solution
Given information:
The relative velocity of O with respect to A is defined as
Calculation:
Velocity of B with respect A is
Velocity of C with respect to A is
The absolute value of point B
Substitute
Equate components
Similarly for point C
Substitute
Equate components
From equation 3
Therefore
To find the angular velocity
From equation 1
Find the velocity of point O with respect to A
Find the absolute velocity of point O
Conclusion:
According to the above explanation, the velocity of point O is equal to
(b)
The point of the disk with zero velocity
Answer to Problem 15.45P
The point of disk with zero velocity is
Explanation of Solution
Given information:
The relative velocity of O with respect to A is defined as
Calculation:
According to sub part a
And
To find the point with zero velocity
Substitute
Equate components
Solve to find x and y
Conclusion:
The point of disk with zero velocity is
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Chapter 15 Solutions
Vector Mechanics For Engineers
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