Concept explainers
(a)
The angular velocity of the plate
Answer to Problem 15.46P
The angular velocity of the disk is
Explanation of Solution
Given information:
The relative velocity of A with respect to B is defined as
Calculation:
Velocity of A with respect B is
The absolute value of point A
Substitute
Equate components
From equation 1
Conclusion:
According to the above explanation, the angular velocity of the disk is
(b)
The velocity of point B
Answer to Problem 15.46P
Explanation of Solution
Given information:
The relative velocity of C with respect to B is defined as
Calculation:
According to sub part a
Velocity of C with respect to B is
The absolute velocity of point C
Substitute
Equate components
From equation 2
Therefore
Conclusion:
According to the above explanation, the velocity of point B is
(c)
The point of plate with zero velocity
Answer to Problem 15.46P
The point of plate with zero velocity is
Explanation of Solution
Given information:
The relative velocity of O with respect to B is defined as
Calculation:
According to sub part a and b
And
Find the velocity of point O with respect to B
The absolute velocity of point O
To find the point with zero velocity
Substitute
Equate components
Solve to find x and y
Conclusion:
The point of plate with zero velocity is
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Chapter 15 Solutions
Vector Mechanics For Engineers
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