PART I DYNAMICS OF PARTICLES
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Questions
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?
View answer and explanationDynamics is composed of two distinct parts. One is kinematics, the study of motion without reference to the forces causing it. What is the other part?
View answer and explanationWhat is the name of the basic frame of reference for the laws of Newtonian mechanics, which is imagined as a set of rectangular axes with no translation or rotation in space?
View answer and explanationHow is 'mass' defined in the context of dynamics?
View answer and explanationUnder what condition can a physical body, like an airplane, be treated as a 'particle'?
View answer and explanationWhat does Newton's Second Law of Motion state about the acceleration of a particle?
View answer and explanationAccording to Newton's Second Law, what force is required to give a 5 kg mass an acceleration of 2 m/s^2?
View answer and explanationIn the U.S. customary system of units, force, length, and time are base units. Which quantity has a derived unit?
View answer and explanationWhat is the mass, in slugs, of an object that weighs 161 lb on Earth? Use the standard sea-level value of g = 32.2 ft/sec^2.
View answer and explanationWhy is the U.S. customary system of units termed a 'gravitational system'?
View answer and explanationNewton's law of gravitation is given by the equation F = G*(m1*m2)/r^2. What does the term 'G' represent?
View answer and explanationAn object has a mass of 1 kg. On the surface of the earth (radius R), it has a weight W. What would its weight be at an altitude of 2R above the surface of the earth?
View answer and explanationWhat 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?
View answer and explanationThe true weight of a body is calculated using its mass and the absolute acceleration due to gravity. The apparent weight measured by a scale on the Earth's surface is slightly different due to the Earth's rotation. The ratio of the apparent weight to the apparent acceleration due to gravity gives what value?
View answer and explanationAn equation is given as Fx = (1/2)mv^2, where F is force, x is distance, m is mass, and v is velocity. What principle can be used to check if this equation is potentially correct?
View answer and explanationIn solving dynamics problems, what is the primary advantage of a symbolic solution over a numerical solution?
View answer and explanationIn the 'Method of Attack' for solving dynamics problems, what should be drawn to clearly define the system being analyzed and account for all external forces?
View answer and explanationWhat does Newton's First Law, the law of inertia, imply about a particle if the net force on it is zero?
View answer and explanationA payload module weighs 100 lb on the surface of the earth. What is its approximate mass in kilograms? Use the surface-level value of g = 9.80665 m/s^2 and the conversion 1 lb = 4.4482 N.
View answer and explanationA payload module with a surface weight of 100 lb is taken to an altitude of 200 miles. Given the Earth's mean radius is 3959 miles and the absolute g at the surface is 32.234 ft/sec^2, what is the acceleration of gravity (g) at this altitude?
View answer and explanationA module is inside a space shuttle in a circular orbit at an altitude of 200 miles. What is the weight of the module under these conditions?
View answer and explanationIn what publication did Isaac Newton first state the laws governing the motion of a particle and formulate the law of universal gravitation?
View answer and explanationWhen can corrections for the Earth's motion be neglected in mechanics problems?
View answer and explanationWhat is the key difference between a 'dimension' and a 'unit'?
View answer and explanationWhat is the dimensional representation of velocity?
View answer and explanationThe 1980 International Gravity Formula, g = 9.780327(1 + 0.005279sin^2(y) + ...), is based on what model of the Earth?
View answer and explanationIf a body has a mass of 1 slug, what is its weight in pounds on a planet where the acceleration of gravity is 10 ft/sec^2?
View answer and explanationWhat is the primary purpose of studying engineering mechanics?
View answer and explanationWhich statement accurately describes the relationship between the weight of a body and its mass?
View answer and explanationIn the SI system, a force of 1 newton is defined as the force required to give a 1-kilogram mass what acceleration?
View answer and explanationWhat is the force of mutual gravitational attraction between two 1 kg spheres whose centers are 1 meter apart? Use G = 6.673 x 10^-11 m^3/(kg*s^2).
View answer and explanationIf a particle's acceleration is directly proportional to the resultant force on it, what can be concluded about its mass?
View answer and explanationWhich of these is NOT an application of dynamics mentioned in the textbook?
View answer and explanationIf you weigh 180 lb on Earth, what is your mass in slugs? Use g = 32.2 ft/sec^2.
View answer and explanationAt what altitude h above the Earth's surface would an object's weight be reduced to one-half of its earth-surface value? Express h in terms of the Earth's radius R.
View answer and explanationWhat is the primary reason for placing a stronger emphasis on the SI metric system in the textbook?
View answer and explanationIf a physical relation is found to be dimensionally homogeneous, what can be concluded?
View answer and explanationWhat distinguishes the engineering of mechanics from the science of mechanics, according to the textbook's philosophy?
View answer and explanationIf a particle is subjected to a resultant force F, Newton's second law can be stated as F = ma. In this equation, in what frame of reference must the acceleration 'a' be measured?
View answer and explanationA body has a weight of 445 N. What is its approximate weight in pounds? Use the conversion 1 lb = 4.4482 N.
View answer and explanationThe variation of gravitational acceleration g with latitude y (in radians) and the Earth's rotation is given by the International Gravity Formula. Which of the following best describes this variation from the equator to the poles?
View answer and explanationFor a particle of mass 'm' and velocity 'v', its kinetic energy is given by (1/2)mv^2. What are the dimensions of kinetic energy in terms of M, L, and T?
View answer and explanationThe textbook describes a dual thought process necessary for formulating problems in dynamics. This involves thinking in terms of both:
View answer and explanationWhat is the weight in Newtons of a car with a mass of 1500 kg? Use the standard approximate value of g = 9.81 m/s^2.
View answer and explanationA particle of mass 'm' is subject to a resultant force 'F'. Newton's second law is also sometimes expressed as the resultant force being proportional to the time rate of change of what quantity?
View answer and explanationWhat is the primary reason that using the mass unit 'lbm' (pound-mass) is avoided in the textbook in favor of the 'slug'?
View answer and explanationThe weight of a body is a force. In which units should it always be expressed in the SI and U.S. customary systems, respectively?
View answer and explanationThe text mentions a notational shorthand where a dot over a symbol indicates a derivative with respect to what variable?
View answer and explanationWhat does a double dot over a symbol, such as x-double-dot, represent?
View answer and explanationA key step in the 'Method of Attack' for problem-solving is to ensure that your calculations are consistent with the accuracy justified by the data. If given data are generally taken to be exact, to how many significant figures are results generally displayed?
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