A differential equation encountered in the vibration of beams is
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International Edition---engineering Mechanics: Statics, 4th Edition
- In the movie Back to the Future, Marty travels back in time to 1955. In 1955, the only available light bulbs in the United States were incandescent bulbs. Assume that last year, you traveled back in time to 1955 and changed all the light bulbs in a single average American household (45 light bulbs) from 75-watt incandescent bulbs to the corresponding 17-watt LED bulbs. The estimated usage is 3 hours per day , at a cost of $0.11 per kilowatt-hour . Based on energy cost alone - not considering the cost to replace any light bulbs and not considering any changes in energy cost with time - how much money in dollars would this household have saved over a 66-year time span (from 1955 to 2021) by changing from incandescent to LED bulbs?arrow_forwardIn November of 2011, NASA launched a rover to Mars called Curiosity. The mass of the rover when launched on Earth was 1982 pound-mass [lbm]. What was the weight of Curiosity on Mars in units of pound-force [lbf]?The acceleration due to gravity on Mars is 3.71 meters per second squared [m/s2].arrow_forward(1.a)Kinematics involves the study of vector quantities of position, velocity, and acceleration as a function of time. Which of the vector-properties of position, velocity, and acceleration can change with time? Kinematics involves the study of vector quantities of position, velocity, and acceleration as a function of time. Which of the vector-properties of position, velocity, and acceleration can change with time? Magnitude only Direction only Both direction and magnitude Neither direction nor magnitude since both are constant with time for kinematics problems. (b) Suppose you have two time-dependent (t) vectors A and B where A(t) = (5t)i + (t2)j and B(t) = (2t)i + j, where i and j are unit vectors in the x- and y-directions, respectively. Which of the following represents the first time derivative of A dot B? Suppose you have two time-dependent (t) vectors A and B where A(t) = (5t)i + (t2)j and B(t) = (2t)i + j, where i and j are unit vectors in the x-…arrow_forward
- In the United States, electricity is sold using the SI units of kilowatt (kW) or megawatt (MW), and fuel for power generation stations is generally purchased using English units, e.g., British thermal unit (Btu), gallon (gal), and ton. An industrial power plant has an average annual load of 100 MW (electrical). If the overall thermal efficiency is 33% (based on HHV), what is the annual cost of fuel if the plant is fired with (a) natural gas, (b) No. 2 fuel oil, and (c) bituminous coal? Use the data from Tables 2.2, 2.7, and 2.13. Assume the cost of natural gas is $5/million Btu, the cost of No. 2 fuel oil is $3/gal, and the cost of bituminous coal is $60/ton (1 ton = 2000 lbm)arrow_forwardSgr A* is believed to be the center of the Milky Way Galaxy because I. It lies in the general direction of the center of the galaxy based on observations of globular clusters. II. It is located near the galactic corona. III. It is easily visible with optical telescopes and has the appearance of a massive black hole. IV. It does not move with respect to the rest of the galaxy. a. I & II b. II & III c. I & IV d. II & IV e. I, III, & IVarrow_forwardHello! I am given this: "A tide pool generating stations produces electricity (power) by utilizing the natural ebb and flow of the tides. Figure 2 (see attached) shows a tidal station at high tide - note that some mass (m) of water has been elevated by the tide. This mass will flow through the generator and out to sea over the next 6 hours. The range of the tide (range = 2h) is the difference between the low water and high water marks. Based on this information, write down an equation for the gravitational potential energy associated with the mass of water m. (Hint: some of the water is at a height of 2h above the low water mark but some is at the low water mark) Use the low water mark as your reference height.arrow_forward
- Suppose you're converting a bill of materials for machining feedstock from the British gravitational (U.S. system) of units to International System (SI) units. Your goal is to have all of the material quantities in kilograms. Your bill of materials lists values for required weights of brass rod in pounds. To convert to these values to kilograms you first you divide by gravitational acceleration in feet per second squared to get a mass in slugs, then convert slugs to kilograms using standard conversion factors. Group of answer choices True Falsearrow_forwardmangin.1arrow_forwardPi constant to be used: 3.14159 Capillary tube: radius = 0.02 cm; length = 9 cm; pressure = 0.7 mmHg Liquid sample: density = 4 ml; time of flow = 4.5 seconds Determine (a) pressure in MKS unit, (b) pressure in CGS unit, (c) the viscosity of the liquid, (d) If the weight was given as 8.5 grams, what will be the density of the liquid? (e) the kinematic viscosity of the liquid? (f) and the fluidity of the liquid?arrow_forward
- Refer to the Worksheet shown, set up to calculate the displacement of a spring. Hooke's law states that the force (F, in newtons) applied to a spring is equal to the stiffness of the spring (k, in newtons per meter) times the displacement {x, in meters): F= kx. ;Chapter 10, Problem 161CA, Refer to the Worksheet shown, set up to calculate the displacement of a spring. Hooke's law states Cell A3 contains a data validation list of springs. The stiffness (cell 83) and maximum displacement (cell C3) values are found using a VLOOKUP function linked to the table shown at the right side of the worksheet. These data are then used to determine the displacement of the spring at various mass values. A warning is issued if the displacement determined is greater than the maximum displacement for the spring. Use this information to determine the answers to the following questions. Write the expression, in Excel notation, that you would type into cell 86 to determine the displacement of the spring.…arrow_forwardin the cartesian plane , we have 40 units for vertical forces and 50 units for horizontal forces.what is the angle theta of the planearrow_forward(x^2+y^2) +2xydy=0 what type of equation is thisarrow_forward
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