Concept explainers
(a)
Find the angular velocity of the assembly after the tube has moved to end E.
(a)
Answer to Problem 17.83P
The angular velocity of the assembly after the tube has moved to end E is
Explanation of Solution
Given information:
The mass (m) of the tube AB is 1.6 kg.
The initial angular velocity
The moment of inertia of the rod and bracket
The centroidal moment of inertia of the tube about a vertical axis is
Calculation:
Find the radius of the tube AB
Find the radius of the tube AB
Write the equation of the velocity of the tube
Consider the principal of impulse and momentum.
Sketch the impulse and momentum diagram of the given system from top view as shown in Figure (1).
Refer Figure (1).
Find the angular velocity of the assembly after the tube has moved to end E.
Take moment about C.
Here,
Substitute
Substitute
Thus, the angular velocity of the assembly after the tube has moved to end E is
(b)
Find the energy lost during the plastic impact at E.
(b)
Answer to Problem 17.83P
The energy lost during the plastic impact at E.is
Explanation of Solution
Calculation:
Write the equation of the kinetic energy
Substitute
Substitute
Write the equation of the kinetic energy
Substitute
Substitute
Find the energy lost during plastic impact using the equation:
Substitute
Thus, the speed of the ball at time
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Chapter 17 Solutions
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