Mechanics Problem Set week 1, Exercises of Mechanics

Vectors and Rectangular representation of forces in two-dimensions and three-dimensions

Typology: Exercises

2019/2020

Available from 01/19/2023

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Jeric Jay Serna BSME 2-1 2019-01079
Answer the following problems and show your complete solution. Use the file name:
FamilyName_ID#_Activity (ex. Castañeda_2017-19070_PracticeProblemSetWeek1).
Attach the file in PDF format and submit to USeP Virtual Environment (UVE). Deadline of
Submission: Sept. 21, 2020 11:59PM.
Scoring will be based on the rubric below:
Problem No. 1:
Determine the gravitational force in N which the copper sphere exerts on the steel
sphere. Both spheres are homogeneous, and the value of 𝑟 is 50 mm. Density of copper
and steel are 8910 kg/m3 and 7830 kg/m3, respectively.
Solution:
Item
Rubrics for Problem Solving
Maximum Raw
Score
In Percent
Description
1
There is no attempt to solve the problem.
0
Unsatisfactory
2
Identifies the questions required in the problem and
presents the data necessary to solve questions.
25
Developing
3
Draws the model figure (if needed), and present the basic
principles with appropriate sketches + Item 2
50
Satisfactory
4
Presents definite ideas of the work and provides logical
steps of the solution + Item 3
75
Very
Satisfactory
5
Answered all of the questions + Item 4
100
Exemplar
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Answer the following problems and show your complete solution. Use the file name: FamilyName_ID#_Activity (ex. Castañeda_2017-19070_PracticeProblemSetWeek1). Attach the file in PDF format and submit to USeP Virtual Environment (UVE). Deadline of Submission: Sept. 21, 2020 11:59PM. Scoring will be based on the rubric below: Problem No. 1: Determine the gravitational force in N which the copper sphere exerts on the steel sphere. Both spheres are homogeneous, and the value of 𝑟 is 50 mm. Density of copper and steel are 8910 kg/m^3 and 7830 kg/m^3 , respectively. Solution: Item Rubrics for Problem Solving Maximum Raw Score In Percent Description 1 There is no attempt to solve the problem. 0 Unsatisfactory 2 Identifies the questions required in the problem and presents the data necessary to solve questions. 25 Developing 3 Draws the model figure (if needed), and present the basic principles with appropriate sketches + Item 2 50 Satisfactory 4 Presents definite ideas of the work and provides logical steps of the solution + Item 3 75 Very Satisfactory 5 Answered all of the questions + Item 4 100 Exemplar

Problem No. 3 : Using the figure below, if the magnitude of the resultant of the 700 N force and 𝐅 is a 500 N force directed along the positive 𝑦-axis, determine (a) the magnitude of force F, (b) the angle θ. Solution: