ENGINEERING MECHANICS Â?? STATICS
15th Edition
ISBN: 9780137519132
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 1.6, Problem 21P
If they are 800 mm apart, determine the force of gravity acting between them. Compare this result with the weight of each particle.
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Problem 5 (Optional, extra 6 points)
A 6-lb homogeneous disk of radius 3 in. spins as shown at the constant rate w₁ = 60 rad/s. The disk
is supported by the fork-ended rod AB, which is welded to the vertical shaft CBD. The system is
at rest when a couple Mo= (0.25ft-lb)j is applied to the shaft for 2 s and then removed. Determine
the dynamic reactions at C and D before and after the couple has been removed at 2 s.
4 in.
C
B
Mo
5 in
4 in.
Note: 2 rotating around CD induced by Mo is NOT
constant before Mo is removed.
and ₂ (two
unknowns) are related by the equation: ₂ =0+ w₂t
3 in.
Partial Answer (after Mo has been removed):
C-7.81+7.43k lb
D -7.81 7.43 lb
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
Chapter 1 Solutions
ENGINEERING MECHANICS Â?? STATICS
Ch. 1.6 - What is the weight in newtons of an object that...Ch. 1.6 - Represent each of the following combinations of...Ch. 1.6 - Represent each of the following combinations of...Ch. 1.6 - (b) 350 lb/ft3 to kN/m3, (c) 8 ft/h to mm/s....Ch. 1.6 - Represent each of the following as a number...Ch. 1.6 - Round off the following numbers to three...Ch. 1.6 - Represent each of the following quantities in the...Ch. 1.6 - Represent each of the following combinations of...Ch. 1.6 - Represent each of the following combinations of...Ch. 1.6 - Represent each of the following combinations of...
Ch. 1.6 - Represent each of the following with SI units...Ch. 1.6 - Evaluate each of the following to three...Ch. 1.6 - Determine its density in SI units. Use an...Ch. 1.6 - (212 mN)2, (52 800 ms)2, and [548(105)]1/2 ms.Ch. 1.6 - is a dimensionality homogeneous equation which...Ch. 1.6 - To show this, convert 1 Pa = 1 N/m2 to lb/ft2....Ch. 1.6 - What is the density expressed in SI units? Express...Ch. 1.6 - Evaluate each of the following to three...Ch. 1.6 - If the density (mass/Volume) of concrete is 2.45...Ch. 1.6 - If the man is on the moon, where the acceleration...Ch. 1.6 - If they are 800 mm apart, determine the force of...
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