978-0073380292 Chapter 1 Part 1

subject Type Homework Help
subject Pages 12
subject Words 2665
subject Authors Francesco Costanzo, Gary Gray, Michael Plesha

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Statics 2e 3
Important Information about
this Solutions Manual
We encourage you to occasionally visit
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4Solutions Manual
Accuracy of Numbers in Calculations
Throughout this solutions manual, we will generally assume that the data given for problems is accurate
to
3
significant digits. When calculations are performed, all intermediate numerical results are reported
to
4
significant digits. Final answers are usually reported with
3
or
4
significant digits. If you verify the
calculations in this solutions manual using the rounded intermediate numerical results that are reported, you
should obtain the final answers that are reported to 3significant digits.
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Statics 2e 5
Chapter 1 Solutions
Problem 1.1
(a)
Consider a situation in which the force
F
applied to a particle of mass
m
is zero. Multiply the
scalar form of Eq. (1.2) on page 6 (i.e.,
aDdv=dt
) by
dt
, and integrate both sides to show that the
velocity v(also a scalar) is constant. Then use the scalar form of Eq. (1.1) to show that the (scalar)
position ris a linear function of time.
(b)
Repeat Part (a) when the force applied to the particle is a nonzero constant, to show that the velocity
and position are linear and quadratic functions of time, respectively.
Solution
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Problem 1.2
Using the length and force conversion factors in Table 1.2 on p. 10, verify that 1slug D14:59 kg.
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Problem 1.3
Convert the numbers given in U.S. Customary units to the corresponding SI units indicated.
(a) Length: Convert lD123 in. to m.
(b) Mass: Convert mD2:87 slug to kg.
(c) Force (weight): Convert FD18:9 lb to N.
(d) Moment (torque): Convert MD433 ftlb to Nm.
Solution
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Problem 1.4
Convert the numbers given in U.S. Customary units to the corresponding SI units indicated.
(a) Length: Convert lD45:6 ft to m.
(b) Mass: Convert mD6:36104slug to kg.
(c) Force (weight): Convert FD22:1 kip to kN.
(d) Moment (torque): Convert MD7660 ftlb to kNm.
Solution
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Problem 1.5
Convert the numbers given in U.S. Customary units to the corresponding SI units indicated.
(a) Length: Convert lD2:35 in. to m.
(b) Mass: Convert mD0:156 slug to kg.
(c) Force (weight): Convert FD100 lb to N.
(d) Moment (torque): Convert MD32:9 ftlb to Nm.
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Problem 1.6
Convert the numbers given in U.S. Customary units to the corresponding SI units indicated.
(a) Length: Convert lD0:001 in. to m.
(b) Mass: Convert mD0:305 lbs2=in. to kg.
(c) Force (weight): Convert FD2:56 kip to kN. (Recall: 1kip = 1000 lb.)
(d) Mass moment of inertia: Convert Imass D23:0 in.lbs2to Nms2.
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Problem 1.7
Convert the numbers given in U.S. Customary units to the corresponding SI units indicated.
(a) Pressure: Convert pD25 lb=ft2to N=m2.
(b) Elastic modulus: Convert ED30 106lb=in.2to GN=m2.
(c) Area moment of inertia: Convert Iarea D63:2 in.4to mm4.
(d) Mass moment of inertia: Convert Imass D15:4 in.lbs2to kgm2.
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Problem 1.8
Convert the numbers given in SI units to the corresponding U.S. Customary units indicated.
(a) Length: Convert lD18:4 m to ft.
(b) Mass: Convert mD4:32 kg to slug.
(c) Force (weight): Convert FD2120 N to lb.
(d) Moment (torque): Convert MD865 Nm to in.lb.
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Problem 1.9
Convert the numbers given in SI units to the corresponding U.S. Customary units indicated.
(a) Length: Convert lD312 mm to in.
(b) Mass: Convert mD2100 kg to slug.
(c) Force (weight): Convert FD25 kN to lb.
(d) Moment (torque): Convert MD1:86 kNm to ftlb.
Solution
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Problem 1.10
Convert the numbers given in SI units to the corresponding U.S. Customary units indicated.
(a) Length: Convert lD1:53 m to in.
(b) Mass: Convert mD65 kg to slug.
(c) Force (weight): Convert FD89:2 N to lb.
(d) Moment (torque): Convert MD32:9 Nm to in.lb.
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Problem 1.11
Convert the numbers given in SI units to the corresponding U.S. Customary units indicated.
(a) Length: Convert lD122 nm to in.
(b) Mass: Convert mD3:21 kg to lbs2=in:
(c) Force (weight): Convert FD13:2 kN to lb.
(d) Mass moment of inertia: Convert Imass D93:2 kgm2to slugin:2.
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Problem 1.12
Convert the numbers given in SI units to the corresponding U.S. Customary units indicated.
(a) Pressure: Convert pD25 kN=m2to lb=in:2.
(b) Elastic modulus: Convert ED200 GN=m2to lb=in:2.
(c) Area moment of inertia: Convert Iarea D23:5 105mm4to in:4.
(d) Mass moment of inertia: Convert Imass D12:3 kgm2to in.lbs2.
Solution
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Problem 1.13
(a) Convert the kinetic energy TD0:379 kgm2=s2to slugin.2=s2.
(b) Convert the kinetic energy TD10:1 slugin.2=s2to kgm2=s2.
Solution

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