i) ii) iii) Question: The origin of the x-y cartesian coordinate system is at 0 and x'-y' is the rotated cartesian coordinate system, such that x'-axis makes an angle 30° with the vertical, as shown in the figure. Forces F (F₁|= 2 N) and F2 (|F2|= 5 N) act at the point O. F₁ is along the positive x-axis and F2 is along the positive y' axis. The resultant of the two forces is given by R in the x-y' frame. (Note: Please note Ris in the x-y' frame, not x-y frame) Complete the free-body diagram to show R and determine the magnitude (R). Please specify any law/theorem which you might have used in this calculation. The projection Px of the resultant R on the x-axis. The projection Py of the resultant R on the y'-axis. 0 30° F2 = 5 N F₁ = 2 N a as. any y'

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.38P: The speed of a particle of mass m varies with the distance x as υ(x) = αx−n. Assume υ(x = 0) = 0 at...
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i)
ii)
iii)
Question:
The origin of the x-y cartesian coordinate system is at 0 and x'-y' is the rotated cartesian coordinate
system, such that x'-axis makes an angle 30° with the vertical, as shown in the figure. Forces F1
(|F₁|= 2 N) and F2 (|F2|= 5 N) act at the point O. F₁ is along the positive x-axis and F2 is along the
positive y' axis. The resultant of the two forces is given by R in the x-y' frame. (Note: Please note R is
in the x-y' frame, not x-y frame)
Complete the free-body diagram to show R and determine the magnitude (R). Please specify
any law/theorem which you might have used in this calculation.
The projection Px of the resultant R on the x-axis.
The projection Py of the resultant R on the y'-axis.
0
30°
1
F₂=5 N
F₁ = 2 N
a as.
any
y'
Transcribed Image Text:i) ii) iii) Question: The origin of the x-y cartesian coordinate system is at 0 and x'-y' is the rotated cartesian coordinate system, such that x'-axis makes an angle 30° with the vertical, as shown in the figure. Forces F1 (|F₁|= 2 N) and F2 (|F2|= 5 N) act at the point O. F₁ is along the positive x-axis and F2 is along the positive y' axis. The resultant of the two forces is given by R in the x-y' frame. (Note: Please note R is in the x-y' frame, not x-y frame) Complete the free-body diagram to show R and determine the magnitude (R). Please specify any law/theorem which you might have used in this calculation. The projection Px of the resultant R on the x-axis. The projection Py of the resultant R on the y'-axis. 0 30° 1 F₂=5 N F₁ = 2 N a as. any y'
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