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Decide on the type of problem for each question.
- a. For the meter stick example, tests have been conducted for extensions of 0.2, 0.4, 0.6, and 0.8 meters with loads of 2, 4, 6, and 10 coins and 5 large books in each test. What will the deflection be for 0.5 meters and 8 coins?
- b. If no books are used to hold one end of the beam, what will be the maximum number of coins that can be placed on the tip?
- c. For the meter stick example, we have deflection data for a 0.7 meter extension with 6 coins. What will the deflection be for 3 coins?
- d. For the meter stick example above, will 5 stacked coins placed on the tip yield a greater or smaller deflection than 5 coins placed along the beam only one high?
(a)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question corresponds to a parametric problem.
Explanation of Solution
Discussion:
The given question is about a test conducted for a meter stick with the extensions as 0.2 m, 0.4 m, 0.6 m and 0.8 m and with loads as 2,4 6 and 10 coins and 5 large books in each test. In this particular question a range of load and extension values is required.
This can be done in an easier way using spreadsheet along with graph for the range of input values. Therefore this problem can be grouped under the heading parametric.
Conclusion:
Hence, the given question corresponds to a parametric problem.
(b)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question can be referred to as a Discussion Problem as well as an Ideal Problem.
Explanation of Solution
Discussion:
In the given question it is required to find out the maximum number of coins that can be placed on the tip. We are required to study about the extension of the bean and it’s mass in comparison to that of coin. This therefore can be referred to as a discussion problem.
Half of the length of the beam should remain on the table or else it would fall off without any coin on the tip. Once the course in statics is completed by the student, the given problem can also be referred to as an ideal problem.
Conclusion:
Hence, the given question can be referred to as a Discussion Problem as well as an Ideal Problem.
(c)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question can be referred to as a Ratio.
Explanation of Solution
Discussion:
In the given question we are required to find out the deflection of 3 coins given that the deflection data of 6 coins for a 0.7 m extension is given.
The deflection will be double if the number of coins that is the load is doubled. Similarly if the load will be halved the deflection will be halved. We can infer this even if the governing equation is not known. Therefore in this question we are comparing a quantity with a known quantity therefore it is termed to be a ratio.
Conclusion:
Hence, the given question can be referred to as a Ratio.
(d)
Find out the type of problem the given question corresponds.
Answer to Problem 1ICA
The given question can be referred to as a Discussion.
Explanation of Solution
Discussion:
In the given question we are required to find out whether 5 coins placed on the tip yields greater or smaller deflection than the coins placed along the beam only one high.
If the coins are lined up, we get a distribution load which is more difficult to analyze than a point load this can however be easily understood through discussion as to how the distributed load will produce lesser deflection than the point load at the tip.
Therefore the given question can be inferred to be a discussion.
Conclusion:
Hence, the given question can be referred to as a Discussion.
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International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L