08 Aug View the presentation below before completing the assignment. Vectors and Trig presentation.pptx ? ?3.4 Review Assignment Instructions? Follow the instructions.? Show all st
View the presentation below before completing the assignment.
3.4 Review Assignment Instructions
Follow the instructions.
- Show all steps for partial credit.
- When uploading handwritten work, it is important that you write legibly and to turn the work in using a format that can be easily read by your instructors. PDF is the preferred format.
ET102
3.4 Review Assignment 1 Useful Formulas
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X2+y2=l
x
P = (x,y)
l
x
y
y
b
a
c
A
B
C
Hypotenuse
Opposite
Adjacent
X2+y2=1
x
P = (x,y)
1
x
y
y
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·
·
·
·
·
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Important Identities:
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· The law of cosines states that
· The law of sines states that
Problems:
1. For the triangle shown below
Given a=200mm, c =150mm and A=45, find the angle C and the side b
A
a
b
c
C
B
2. For the triangle shown below
Given b=150mm, a =200mm and B=45, find the angle C and the side c
A
a
b
c
C
B
3. For the triangle shown below
Given b=245mm, c =135mm and B=45, find the angle A and the side a
A
a
b
c
C
B
4. For the robot link position shown below, find the position of the tip of the robot given the arm (link) angle of 70
Arm
End-effector (tip)
Motor (joint)
One Arm Robot
x
y
l
5. For the robot link position shown below, find the angle that the link makes with the x-axis given that of the tip of the robot is at located at (9.64, 11.49). Take the link length as 15 cm
Arm
End-effector (tip)
Motor (joint)
One Arm Robot
x
y
l
6. For the robot link position shown below, find the angle that the link makes with the x-axis given that of the tip of the robot is at (13.38, 14.86). Also find the link length.
Arm
End-effector (tip)
Motor (joint)
One Arm Robot
x
y
l
7. If F1 is 125N and F2 is 50N and 1 is 60 and 2 is 130 , find the resultant force.
F1
F2
1
2
x
y