Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 9.1, Problem 1FP
Determine the centroid
Prob. F9-1
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M16x2 grade 8.8 bolts No. 25 C1-
Q.2. The figure is a cross section of a grade 25 cast-iron pressure vessel. A
total of N, M16x2.0 grade 8.8 bolts are to be used to resist a separating
force of 160 kN. (a) Determine ks, km, and C. (b) Find the number of bolts
required for a load factor of 2 where the bolts may be reused when the joint 19 mm
is taken apart. (c) with the number of bolts obtained in (b), determine the
realized load factor for overload, the yielding factor of safety, and the
separation factor of safety.
19 mm
Problem4.
The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with
the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular
speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The
mass of the shaft is negligible compared to the mass of the disk.
a. Find the angular momentum of the disk with respect to point G, based on the axis
orientation as shown. Include an MVD in your solution.
b. Find the angular momentum of the disk with respect to point O, based on the axis
orientation as shown. (Note: O is NOT the center of fixed-point rotation.)
c. Find the kinetic energy of the assembly.
z
R
R
002
2R
x
Answer: H = -0.046ĵ-0.040 kg-m²/sec
Ho=-0.146-0.015 kg-m²/sec
T 0.518 N-m
=
Problem 3.
The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the same
mass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at a
particular moment. Find the angular momentum with respect to point O, in terms of the axes
shown.
Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k
3
m
r
b
2
C
لا
m
Chapter 9 Solutions
Engineering Mechanics: Statics
Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid of the shaded area. Prob....Ch. 9.1 - Locate the center of mass x of the straight rod if...Ch. 9.1 - Locate the centroid of the homogeneous solid...Ch. 9.1 - Locate the centroid z of the homogeneous solid...Ch. 9.1 - Locate the center of mass of the homogeneous rod...Ch. 9.1 - Prob. 2PCh. 9.1 - Prob. 3PCh. 9.1 - Prob. 4P
Ch. 9.1 - Prob. 5PCh. 9.1 - Locate the centroid of the area.Ch. 9.1 - Prob. 7PCh. 9.1 - Prob. 8PCh. 9.1 - Prob. 9PCh. 9.1 - Locate the centroid of the area. Prob. 9-17Ch. 9.1 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9.1 - Locate the centroid of the area. Probs. 9-13/14Ch. 9.1 - Prob. 15PCh. 9.1 - Prob. 16PCh. 9.1 - Prob. 17PCh. 9.1 - Locate the centroid x of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the shaded area.Ch. 9.1 - Prob. 21PCh. 9.1 - Prob. 22PCh. 9.1 - Prob. 23PCh. 9.1 - Prob. 24PCh. 9.1 - Determine the location of its center of gravity....Ch. 9.1 - Prob. 26PCh. 9.1 - Prob. 27PCh. 9.1 - Prob. 28PCh. 9.1 - Prob. 29PCh. 9.1 - Prob. 30PCh. 9.1 - Prob. 31PCh. 9.1 - Locate the centroid x of the area. Probs. 9-32/33Ch. 9.1 - Locate the centroid of the area. Probs. 9-32/33Ch. 9.1 - Determine the location of its center of mass. Also...Ch. 9.1 - Prob. 35PCh. 9.1 - Prob. 36PCh. 9.1 - Prob. 37PCh. 9.1 - Prob. 38PCh. 9.1 - Locate the centroid of the paraboloid. Probs....Ch. 9.1 - The material is homogeneous. Prob. 9-39Ch. 9.1 - Prob. 41PCh. 9.1 - Determine the centroid of the solid. Prob. 9-42Ch. 9.1 - Locate the center of gravity z of the solid. Prob....Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Prob. 45PCh. 9.1 - Determine its mass and the distance z to the...Ch. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Prob. 49PCh. 9.1 - Suggestion: Use a triangular plate element...Ch. 9.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid (x,y) of the cross-sectional...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the center of mass (x,y,z) of the...Ch. 9.2 - If the mass of the gusset plates at the joints and...Ch. 9.2 - Prob. 52PCh. 9.2 - Prob. 53PCh. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Prob. 55PCh. 9.2 - Each plate has a constant width in the z direction...Ch. 9.2 - Prob. 57PCh. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 59PCh. 9.2 - Prob. 60PCh. 9.2 - Prob. 61PCh. 9.2 - Prob. 62PCh. 9.2 - Prob. 63PCh. 9.2 - Prob. 64PCh. 9.2 - Prob. 65PCh. 9.2 - Assume all corners are square and neglect the size...Ch. 9.2 - Prob. 67PCh. 9.2 - Prob. 68PCh. 9.2 - Prob. 69PCh. 9.2 - Prob. 70PCh. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 72PCh. 9.2 - If it is folded over as shown, determine the...Ch. 9.2 - Determine the location (x,y,z) of its centroid....Ch. 9.2 - It the cord is cut, the part will rotate about the...Ch. 9.2 - Prob. 76PCh. 9.2 - The location of the center of gravity of each...Ch. 9.2 - Prob. 78PCh. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - Prob. 81PCh. 9.2 - Determine the distance h to which a...Ch. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - Prob. 84PCh. 9.2 - Prob. 85PCh. 9.2 - Prob. 86PCh. 9.2 - Determine the distance x to its center of gravity...Ch. 9.2 - Prob. 88PCh. 9.2 - The cylinder and the cone are made from materials...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 14FPCh. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 90PCh. 9.3 - Determine the volume of the storage tank. Probs....Ch. 9.3 - Prob. 92PCh. 9.3 - Prob. 93PCh. 9.3 - Prob. 94PCh. 9.3 - Prob. 95PCh. 9.3 - Prob. 96PCh. 9.3 - Prob. 97PCh. 9.3 - Prob. 98PCh. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Determine the surface area and the volume of the...Ch. 9.3 - Prob. 102PCh. 9.3 - Prob. 103PCh. 9.3 - Each gallon of paint can cover 250 ft2. Probs....Ch. 9.3 - Prob. 105PCh. 9.3 - Prob. 106PCh. 9.3 - Prob. 107PCh. 9.3 - Prob. 108PCh. 9.3 - Prob. 109PCh. 9.3 - Prob. 110PCh. 9.3 - Prob. 111PCh. 9.3 - Prob. 112PCh. 9.3 - Prob. 113PCh. 9.3 - Prob. 114PCh. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-17Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3.Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-19Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-20Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3....Ch. 9.5 - Prob. 115PCh. 9.5 - Prob. 116PCh. 9.5 - The load over the plate varies linearly along the...Ch. 9.5 - The load is defined by the expression p = p0 sin...Ch. 9.5 - Prob. 119PCh. 9.5 - Determine the resultant force the water exerts on...Ch. 9.5 - For the condition of high tide shown, determine...Ch. 9.5 - Prob. 122PCh. 9.5 - Prob. 123PCh. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - Prob. 125PCh. 9.5 - Prob. 126PCh. 9.5 - The tank is filled with a liquid that has a...Ch. 9.5 - Prob. 128PCh. 9.5 - Prob. 129PCh. 9.5 - Prob. 130PCh. 9.5 - Prob. 131RPCh. 9.5 - Determine the volume of material required to make...Ch. 9.5 - Prob. 133RPCh. 9.5 - Prob. 134RPCh. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - Prob. 136RPCh. 9.5 - Prob. 137RPCh. 9.5 - Locate the centroid of the rod. Prob. R9-4Ch. 9.5 - Determine the horizontal and vertical components...Ch. 9.5 - Prob. 140RP
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