Industrial Motor Control
7th Edition
ISBN: 9781133691808
Author: Stephen Herman
Publisher: Cengage Learning
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Chapter 48, Problem 9RQ
To determine
Whether the motor accelerate to the third speed after the delay of 6 seconds considering that both the timers are set for a delay of 3 seconds when the coil 1S is open and the third speed push button is pressed.
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Problem 1 (30 Points)
Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In
scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no
friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in
both scenarios, there is one generalized coordinate, .
R
Scenario 1
R
m
R
g
Scenario 2
m
HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the
bowl (scenario 1), or the pivot point of the pendulum (scenario 2).
Part I
a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points)
b) What can you say about the systems based on the Lagrangian? (2 points)
c) Solve for the equations of motion for both systems. (8 points)
Part II
Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to
determine the normal force acting on the mass.
a)…
Chapter 48 Solutions
Industrial Motor Control
Ch. 48 - Prob. 1RQCh. 48 - To answer the following questions, refer to the...Ch. 48 - Prob. 3RQCh. 48 - To answer the following questions, refer to the...Ch. 48 - To answer the following questions, refer to the...Ch. 48 - Prob. 6RQCh. 48 - To answer the following questions, refer to the...Ch. 48 - To answer the following questions, refer to the...Ch. 48 - Prob. 9RQCh. 48 - Prob. 10RQ
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