The uniform rods AB and BC are of mass 3 kg and 8 kg, respectively, and collar C has a mass of 4 kg. Knowing that at the instant shown the velocity of collar C is 0.9 m/s downward, determine the velocity of point B after rod AB has rotated through 90°.
The velocity of point B after rod AB has rotated through 90°.
Answer to Problem 17.45P
Velocity of point B after
Explanation of Solution
Given information:
Mass of rod AB,
Mass of rod BC,
Mass of collar C,
Velocity of collar,
Concept used:
Energy conservation principle
Calculation:
(a)Initial Position
Moment of inertial of rod BC,
Moment of inertial of rod AB,
Initial kinetic energy,
We know from the figure that,
Initial Potential energy,
(b) Final Position
Now, rod AB is rotated through
Final kinetic energy,
From the figure,
Final potential energy,
Using energy conservation principle,
Conclusion:
Therefore, the velocity of point B when rod AB rotates through
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Vector Mechanics For Engineers
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