CHAPTER 1 INTRODUCTION TO DYNAMICS

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Questions

Question 1

What are the two distinct parts of dynamics?

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Question 2

Who is credited with the beginning of a rational understanding of dynamics through careful observations concerning bodies in free fall, motion on an inclined plane, and motion of the pendulum?

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Question 3

What is the basic frame of reference for the laws of Newtonian mechanics, which is an imaginary set of rectangular axes assumed to have no translation or rotation in space?

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Question 4

What is the definition of a 'particle' in the context of dynamics?

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Question 5

Which of Newton's laws of motion states that the acceleration of a particle is proportional to the resultant force acting on it and is in the direction of this force?

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Question 6

In the SI system of units, what are the base units for mass, length, and time?

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Question 7

Why is the SI system of units termed an 'absolute system'?

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Question 8

What is the derived unit of mass in the U.S. customary system, defined as the amount of mass that accelerates at one foot per second squared when acted on by a force of one pound?

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Question 9

A body has a mass of 5 slugs. What is its weight in pounds on the surface of the earth, using a standard gravity value of 32.2 ft/sec^2?

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Question 10

According to Newton's law of gravitation, the mutual force of attraction F between two particles is proportional to what?

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Question 11

A body has a mass of 1 kg. At an altitude of 1000 km, its weight is 7.340 N. What is its weight at an altitude equal to the mean radius of the earth (6371 km)?

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Question 12

What is the internationally adopted standard value for the gravitational acceleration (g) relative to the rotating earth at sea level and at a latitude of 45 degrees, in SI units?

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Question 13

The 'apparent weight' of a body as measured by a spring balance on the surface of the earth is slightly less than its true weight (gravitational force). What is the reason for this difference?

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Question 14

What does the principle of dimensional homogeneity state?

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Question 15

In the symbolic notation for dimensions, what are the dimensions of force (F) in terms of mass (M), length (L), and time (T)?

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Question 16

What is one of the greatest difficulties encountered by students in solving dynamics problems, according to the text?

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Question 17

According to the 'Method of Attack' for solving problems, what is the first sub-step under '2. Develop the solution'?

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Question 18

What is a key advantage of a symbolic solution over a numerical solution in dynamics?

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Question 19

A module weighs 100 lb on the surface of the earth. Using the value g = 32.2 ft/sec^2, calculate its mass in slugs.

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Question 20

A module with a mass of 3.11 slugs is taken to an altitude where the absolute acceleration of gravity is 29.2 ft/sec^2. What is its weight at this altitude?

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Question 21

A payload module is inside a space shuttle orbiting the earth at an altitude of 200 miles. What is the weight of the module under these conditions?

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Question 22

What is the primary reason that the acceleration of a freely falling body as measured from the surface of the earth (relative g) is slightly less than the absolute value of g calculated for a non-rotating earth?

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Question 23

In the context of problem solving, what is a free-body diagram?

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Question 24

If Newton's first law states a particle remains at rest or in uniform motion if there is no unbalanced force, how is this law related to his second law (F = ma)?

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Question 25

What is the mass in kilograms of a car that weighs 14715 N on the earth's surface? Use g = 9.81 m/s^2.

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Question 26

What is the mass in slugs of a car that has a mass of 1500 kg? Use the conversion factor 1 slug = 14.594 kg.

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Question 27

What is defined as the quantitative measure of the inertia or resistance to change in motion of a body?

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Question 28

Newton's famous work, which stated the laws of motion and the law of universal gravitation, was published in the first edition of what book?

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Question 29

At what altitude h above the earth's surface is the weight of an object reduced to one-half of its earth-surface value? Assume a spherical earth of radius R.

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Question 30

An equation is found to be [MLT^-2][L] = [M][LT^-1]^2. According to the principle of dimensional homogeneity, is this equation dimensionally correct?

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Question 31

A force of 1 pound is applied to a mass of 1 slug. What is the resulting acceleration?

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Question 32

A force of 1 newton is applied to a mass of 1 kg. What is the resulting acceleration?

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Question 33

The textbook notes that in U.S. customary units, the pound is unfortunately used as a unit for both force (lbf) and mass (lbm). To avoid confusion, what unit does the textbook almost exclusively use for mass?

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Question 34

What is time considered to be in Newtonian mechanics?

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Question 35

Which of the following modern technologies is listed as an application of dynamics?

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Question 36

An object in a space shuttle's circular orbit is often described as being in 'zero-g'. According to the text, is this term correct in the absolute sense?

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Question 37

According to the 1980 International Gravity Formula, the value of g varies with latitude. Where is the relative value of g at sea level the lowest?

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Question 38

What is the key distinction between a 'dimension' and a 'unit'?

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Question 39

Which of Newton's laws constitutes the principle of action and reaction, stating that forces between interacting bodies are equal, opposite, and collinear?

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Question 40

A car has a mass of 1500 kg. What is its weight in pounds? Use g = 9.81 m/s^2 and the conversion 1 lb = 4.448 N.

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Question 41

What is the primary purpose of the study of engineering mechanics, as stated in the 'Philosophy' section of the Preface?

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Question 42

If a body is treated as a particle, what aspect of the body is considered irrelevant to the description of its motion?

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Question 43

In the International Gravity Formula g = 9.780327(1 + 0.005279sin^2(lat) + ...), what does the formula account for in addition to the earth being an ellipsoidal model?

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Question 44

What is one of the main advantages of a symbolic solution that helps to focus attention on the connection between the physical situation and its mathematical description?

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Question 45

If a particle of mass m is subjected to a resultant force F, what is the resulting acceleration a, according to Equation 1/1?

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Question 46

How does the text suggest you should denote handwritten vectors to distinguish them from scalars?

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Question 47

What is the weight in newtons of a 90-kg man at a latitude of 40 degrees, using the standard sea-level gravity value of 9.80665 m/s^2?

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Question 48

A space shuttle is in a circular orbit at an altitude of 150 mi. A passenger weighs 200 lb on the earth's surface (at 45 deg latitude, g = 32.174 ft/sec^2). What is the passenger's approximate weight at this altitude? The radius of the earth is approx. 3959 mi.

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Question 49

In Chapter 1, what does the chapter review checklist ask the student to be able to do regarding Newton's laws?

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Question 50

What physical relationship must be dimensionally homogeneous for it to be a correct physical relation?

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