Vectors and Trig Identities

 

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• Vectors and Trig presentation.pptx

 

 

3.4 Review Assignment Instructions

 

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• Show all steps for partial credit.
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ET

1

02

3.4Review

A

ssignment 1
Usefu

l

Formul

a

s

·

·

·

X2+

y

2=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

·
·
·

·
·
·
·
·
·

Important Identities:

·
·
·

·

· 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