EBK 3N3-EBK: INDUSTRIAL MOTOR CONTROL
7th Edition
ISBN: 9780176919962
Author: Herman
Publisher: VST
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Chapter 4, Problem 4RQ
To determine
Identify the type of thermal overload relay that can be set for manual or automatic operation.
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Problem 4.
A homogeneous disk with radius and mass m is mounted on an axle OG with length L and a
negligible mass. The axle is pivoted at the fixed-point O, and the disk is constrained to roll on a
horizontal surface. The disk rotates counterclockwise at the constant rate o₁ about the axle. (mg
must be included into your calculation)
(a). Calculate the linear velocity of G and indicate it on the figure.
(b). Calculate ₂ (constant), which is the angular velocity of the
axle OG around the vertical axis.
(c). Calculate the linear acceleration ā of G and indicate it on the
figure.
(d). Determine the force (assumed vertical) exerted by the floor on
the disk
(e). Determine the reaction at the pivot O.
1
Answers: N = mg +mr(r/L)² @² |j
mr w
IIG
C
R
L
i+
2L
=
Problem 2.
The homogeneous disk of weight W = 6 lb rotates at the constant rate co₁ = 16 rad/s with respect
to arm ABC, which is welded to a shaft DCE rotating at the constant rate 2 = 8 rad/s. Assume
the rod weight is negligible compared to the disk. Determine the dynamic reactions at D and E
(ignore mg).
Answers:
D=-7.12ĵ+4.47k lb
r-8 in.
9 in.
B
D
E=-1.822+4.47 lb
9 in.
E
12 in.
12 in.
x
Problem 3.
Each of the right angle rods has a mass of 120 g and is welded to the shaft, which rotates at a steady
speed of 3600 rpm. Ignore the weight of the shaft AB. Find the bearing dynamic reaction at A
due to the dynamic imbalance of the shaft. (ignore mgs)
100
N
A
100
100
100
100
100
(Dimensions in millimeters)
Answer: A=-8521-426j N
B
Chapter 4 Solutions
EBK 3N3-EBK: INDUSTRIAL MOTOR CONTROL
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