Figure p12. 4 shows three uniform objects: a rod, a right triangle, and a square. Their masses and their coordinates in meters are given. Determine the center of gravity for the three-object system.
Answers
The center of gravity for the three-objects system is approximately located
at their center of mass.
The center of gravity of the three-object system is approximately (2.58, 4.75)Reasons:
The coordinates of the vertices of the objects and their masses are;
The rod:
Vertices, (2, 7), and (9, 7)
Mass, m₁ = 6.00 kg.
The right triangle;
Vertices; (4, 1), (8, 5), (8, 1)
Mass, m₂ = 3.00 kg.
The square
Vertices; (-5, 5), (-2, 5), (-2, 2), (-5, 2)
Mass, m₃ = 5.00 kg
Required;
The center of gravity for the three-object system.
Solution:
The center of gravity is given by the formula;
\(\displaystyle X_c =\mathbf{ \frac{X_{c1} \times m_1 +X_{c2} \times m_2 +X_{c3} \times m_3 }{m_1 + m_2 + m_3}}\)
\(\displaystyle Y_c =\mathbf{ \frac{Y_{c1} \times m_1 +Y_{c2} \times m_2 +Y_{c3} \times m_3 }{m_1 + m_2 + m_3}}\)
Where;
\(X_{c1}\) = The x-coordinates of the center of the rod = 5.5
\(X_{c2}\) = The x-coordinate of the centroid of the triangle \(\displaystyle = \frac{4 + 8 + 8}{3} = \frac{20}{3}\)
\(X_{c3}\) = The x-coordinate of the centroid of the square = (-5 - (-2)) ÷ 2 - 2 = -3.5
\(Y_{c1}\) = The y-coordinate of the center of the rod = 7
\(\mathbf{ Y_{c2}}\) = The y-coordinate of the centroid of the triangle \(\displaystyle = \frac{7}{3}\)
\(Y_{c3}\) = The y-coordinate of the centroid of the square = 3.5
Therefore;
\(\displaystyle X_c = \mathbf{ \frac{5.5 \times 6 +\frac{20}{3} \times 3 +(-3.5) \times 5 }{6+ 3 + 5}} \approx 2.58\)
\(\displaystyle Y_c = \mathbf{ \frac{7 \times 6 +\frac{7}{3} \times 3 +3.5 \times 5 }{6+ 3 + 5}} = 4.75\)
The center of gravity for the three-object system is (\(X_c\), \(Y_c\)) ≈ (2.58, 4.75)
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Answers
Answer:
Dry foods such as instant noodles, biscuits and potato chips can be stored for a long time because they contain very little moisture. Moisture is what causes food to spoil quickly. Dry foods that contain less than 10 percent of moisture are the perfect candidates for long-term storage. Anything higher than ten could be difficult. 13% is a crucial number, with any foods higher than that posing too high of risk towards bacteria, mold, and fungus growth.
To store dry food properly, it should be kept in a cool and dry place. The storage temperature helps determine the length of storage; the higher the temperature, the shorter the storage time. Dried foods are susceptible to insect contamination and moisture reabsorption and must be properly packaged and stored immediately.
Explanation:
Hope this helps
Answer:
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04.02 Comparing Functions
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Answer:
1. -10
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Question 8 of 25
The exact same experiment was conducted 15 times. How many times
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A. 15
B. 9
C. 8
D. 6
Answers
To consider the results of the 15 experiments valid, they should be similar in at least 8 of the trials . So, option C is the right choice.
To determine the number of times the results should be similar for them to be considered valid, we need to establish a threshold based on the number of experiments conducted. In this case, the experiment was repeated 15 times.
To determine the minimum number of times the results should be similar for validity, we can calculate the majority. We divide the total number of trials by 2 and add 1. In this case, 15 divided by 2 equals 7.5, and adding 1 gives us 8.
Therefore, for the results to be considered valid, they should be similar in at least 8 out of the 15 trials. This threshold ensures that the majority of the experiments produced consistent results, indicating reliability and reproducibility.
Thus, The correct answer is option C.8
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The graph of function g is shown to the left. If g(x) = a(x + 3)^2 - 5, what is the value of a?
Answers
Answer:4 times 4
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Answers
Perimeter = 6 × (6k^2 + 8)
Simplifying this expression gives:
Perimeter = 36k^2 + 48 inches
Therefore, the perimeter of the hexagon is 36k^2 + 48 inches.
In the xy-plane above, O is the center of the circle, the coordinates of point B are
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Answers
Angle AOB is 45 degrees which is equal to pi / 180 radians
What is a Quadrant?This is the term used to refer to division of circle into 4 parts. Each part of the division is called a quadrant
Given data
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from the given data we can find the tangent of formed by the two values to get 45 degrees
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Angle on a quadrant is 90 degrees
Solving for angle AOB is
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In 1974, Ann Oakley collected information from 40 married women who had one child or
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more under the age of 5. All of the women were British or Irish born and aged between
All of the women lived in the London area.
Oakley found greater equality in terms of the allocation of domestic tasks between
married couples in the middle class than in the working class. However, in both social
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Source: Oakley, A, The Sociology of Housework (1974)
From Item A, examine one weakness of the research.
[2 marks]
Answers
One weakness of the research conducted by Ann Oakley is thesmall sample size.
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The findings and conclusionsdrawn from such a limited sample may not be generalizable to all married couples, particularly considering the potential diversity of experiences within the working class and middle class.
A larger sample size wouldhave increased the reliability and validity of the study's findings.
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What grade can take the Aspire test
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Answer: Grades 3-10
Explanation:
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Beto holds the opinion that the most crucial among children's rights is access to education, as it establishes the groundwork for achievement and prosperity in one's future.
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Answers
Answer:
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Text 1
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Answer: nutrition the plant made
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Explanation:
Answer:
In plants, the transpiration stream is the uninterrupted stream of water and solutes which is taken up by the roots and transported via the xylem to the leaves where it evaporates into the air/apoplast-interface of the substomatal cavity. It is driven by capillary action and in some plants by root pressure.
Yw hope this helps \_(OwO)_/
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my explanation is in the photof above
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Answers
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Explanation:
10. Which of the following pieces of safety equipment is required on your boat and must appear as an item on your Pre-Departure
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A reflective mirror surface
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Answers
Answer:
D
Explanation:
The safety equipment that is required on a boat and must appear as an item on your Pre-Departure Checklist includes: Working navigation lights.
Working navigation lights:
These lights are essential for maintaining visibility and complying with maritime regulations, especially during low-light conditions or at night.
While the other items you mentioned can be important for various reasons, they may not necessarily be required by law or specifically listed on a standard Pre-Departure Checklist.
However, it's always a good idea to have additional safety equipment and supplies on board, such as a reflective mirror surface for signaling, a waterproof compass for navigation, and extra clothes and towels for comfort and emergencies.
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Answers
Answer:
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The two things that Patricia should look for includes her credit performance and credit score.
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Answers
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A self-coup occurs when a leader attempts to use illegal tactics to maintain control after gaining it legitimately. The unexpected, violent takeover of an established government by a small group is known as a coup d'état, sometimes known as a coup. Control of all or a portion of the armed forces, police, and other military components is the main requirement for a coup.
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A B C OR D? Best & correct answer gets braniest!
Answers
Answer:D
Explanation:
Answer: option A is correct
Explanation:
Halim needs a newsletter for the youth group members. He wants you to create this month’s newsletter for him.
He has provided a file containing the text he wants in the newsletter. You need to prepare other information for the newsletter. You will do this in steps (a) and (b).
(a)
The members have been making weekly payments for a trip to Alton Towers. Halim has provided a file containing the trip payments data.
The trip cost is £28.25 per person. Halim needs to know the amount outstanding for each member. He also needs to know the total amount outstanding for all members.
(The amount outstanding for each member is the trip cost less the total of their weekly payments.)
Evidence you must upload
A file of the trip payments data including the values you calculated.
A file of how you used ICT to do your calculations (i.e. showing the formulas you used).
Answers
To calculate the amount outstanding for each member, you need to subtract the total of their weekly payments from the trip cost, which is £28.25 per person.
What is the newsletter about?For example, if a member has made weekly payments of £5, £7, and £9 respectively, the total of their weekly payments would be £21. To calculate the amount outstanding for this member, you would subtract £21 from £28.25, which gives you an amount outstanding of £7.25.
To calculate the total amount outstanding for all members, you need to sum up the amount outstanding for each member.
To do this, you can use a spreadsheet program like Microsoft Excel or Go/ogle Sheets. Create a table with the following columns: "Member Name," "Total Paid," "Amount Outstanding."
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(7 gallons, 2 quarts, 1 pint, 1 cup, 6 ounces) x 2
Answers
Answer:
15 gallons, 1 quart, 1 pint, 1 cup, 4 ounces
Explanation:
8 ounces = 1 cup
2 cups = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon
(7 gallons, 2 quarts, 1 pint, 1 cup, 6 ounces) x 2
Multiply all the measurements by 2: 14 gallons, 4 quarts, 2 pints, 2 cups, 12 ounces
Convert the ounces into cups: 14 gallons, 4 quarts, 2 pints, 3 cups, 4 ounces
Convert the cups into pints: 14 gallons, 4 quarts, 3 pints, 1 cup, 4 ounces
Convert the pints into quarts: 14 gallons, 5 quarts, 1 pint, 1 cup, 4 ounces
Convert the quarts into gallons: 15 gallons, 1 quart, 1 pint, 1 cup, 4 ounces
I hope this helps!!! Please mark brainlist!!!!
Answer:
15 gallons, 1 quart, 1 pint, 1 cup, 4 ounces
Explanation: