
Concept explainers
Find the velocity of the tube relative to the rod as the tube strikes end E of the assembly.

Answer to Problem 17.94P
The velocity of the tube relative to the rod as the tube strikes end E of the assembly is
Explanation of Solution
Given information:
The mass
The initial angular velocity
The moment of inertia of the rod and bracket
The centroidal moment of inertia of the tube
Calculation:
Refer the system.
Find the radius of the tube AB at initial position
Here,
Substitute 125 mm for
Find the radius of the tube AB at final position
Here,
Substitute 500 mm for
Write the equation of the velocity of the tube
Here,
Consider
At initial position the system is at rest. Therefore, the velocity of the tube relative to the rod at initial position
Consider the impulse and momentum principle.
Sketch the impulse and momentum diagram of the system as shown in Figure (1).
Refer Figure (1),
Take moment about C (Anti-clockwise as positive).
Here,
Substitute
Substitute
Find the kinetic energy of the system
Substitute
Find the kinetic energy of the system
Substitute
The bearing reaction at point C is zero. This leads to frictionless sliding contact between rod and tube. Therefore, the work done
Consider the Principle of work and energy.
Find the velocity
Substitute
Thus, the velocity of the tube relative to the rod as the tube strikes end E of the assembly is
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Chapter 17 Solutions
Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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