lab 2 : vectors
·
scalars ·
vector resolution
·
quantities wh only magnitude ·
vector components
D
·
vectors
·
A
vectorsare notInherently
o i
quantities wi magnitude a direction Ay
·
represented by arrows
A
·
* represented by Ax
·
can freely more around
question II
·
·
two vectors are equal if they have the same magnitude a direction
·
11
represented by
a) x
+
Ax 5 4 CoS (45) 3 8
a
= .
= .
m
·
vector addition a subtraction
Ay = S .
4 Sin (45) = 3 Om .
·
resultant : sum of rec tors
·
more head of first vector to tail of the second
drawn from tall of first to head of second
a
·
resultant is & Y
bl B Bx = -
7 . SCOS (66) =
-
2 8 m .
·
question 1 By
68 )
.
By = 7 .
5 Sin (68) : 7 . Om
*
Bx
-
·
- &
b
CX
C
-
(x = -
9 8cos(1S) .
=
-
9 5 mis .
cy is
C cy = -9 8 sin (15) .
=
-2 S .
mis
question 2
·
Y
what is the resultant if we addedI n opposite order ?
·
the resultant vector would still be the same bic the
vectors still have the same magnitude & direction
·
question 13 a
·
question 3
·
uncertainties of x2dy2 .
X = 80 , y = 60 ,
DX =
Ay = S
·
when does Ip + Q1 = 1P1 + 1Q1 DX2 = 2X -
DX
when the magnitudes of pdQ are either both positive
=
2(80)(5) =
800
or
both negative
Dy2 = 2y .
DY
↳ directions must be the same
=
2(60)(5) =
600
question 4
·
·
question 13b
·
process of finding A-B
·
uncertainty in w = X 2 + y2
·
vector B must be drawn in the opposite direction of vector B
Aw =
2x DX +
2yDY
·
multiplication by scalar
= 800 + 600 = 1400
·
we c a n multiply a vector by a scalar
question 13c
·
·
this changes the magnitude of a vector while keeping its direction fixed
x +
y2
uncertainty 2 =
·
in
·
questions 5-9
2
2 xDX +
2YAY
5 .
A + 7 .
( + B .
9 3A -
2 B
Dz =
A 2x2 + y2
Bach
R D
3A
D
a C
I 1408
&
602:7
a
2802 +
2B
A- B
-
6 .
.
8 2A + 2B
·
procedure
A
* &
D
for part I
R
uncertainty
·
R 2B
-x
-
B my =
129
D
uncertainty = 10 .
59
mz =
169
2A
2
R = (m , ) + (mz) =
20
AR = 2 M , AM ,+ 2 MIAMI 12 + 16
= =
0 7 .
40
2 m ,
2
+ my
·
scalars ·
vector resolution
·
quantities wh only magnitude ·
vector components
D
·
vectors
·
A
vectorsare notInherently
o i
quantities wi magnitude a direction Ay
·
represented by arrows
A
·
* represented by Ax
·
can freely more around
question II
·
·
two vectors are equal if they have the same magnitude a direction
·
11
represented by
a) x
+
Ax 5 4 CoS (45) 3 8
a
= .
= .
m
·
vector addition a subtraction
Ay = S .
4 Sin (45) = 3 Om .
·
resultant : sum of rec tors
·
more head of first vector to tail of the second
drawn from tall of first to head of second
a
·
resultant is & Y
bl B Bx = -
7 . SCOS (66) =
-
2 8 m .
·
question 1 By
68 )
.
By = 7 .
5 Sin (68) : 7 . Om
*
Bx
-
·
- &
b
CX
C
-
(x = -
9 8cos(1S) .
=
-
9 5 mis .
cy is
C cy = -9 8 sin (15) .
=
-2 S .
mis
question 2
·
Y
what is the resultant if we addedI n opposite order ?
·
the resultant vector would still be the same bic the
vectors still have the same magnitude & direction
·
question 13 a
·
question 3
·
uncertainties of x2dy2 .
X = 80 , y = 60 ,
DX =
Ay = S
·
when does Ip + Q1 = 1P1 + 1Q1 DX2 = 2X -
DX
when the magnitudes of pdQ are either both positive
=
2(80)(5) =
800
or
both negative
Dy2 = 2y .
DY
↳ directions must be the same
=
2(60)(5) =
600
question 4
·
·
question 13b
·
process of finding A-B
·
uncertainty in w = X 2 + y2
·
vector B must be drawn in the opposite direction of vector B
Aw =
2x DX +
2yDY
·
multiplication by scalar
= 800 + 600 = 1400
·
we c a n multiply a vector by a scalar
question 13c
·
·
this changes the magnitude of a vector while keeping its direction fixed
x +
y2
uncertainty 2 =
·
in
·
questions 5-9
2
2 xDX +
2YAY
5 .
A + 7 .
( + B .
9 3A -
2 B
Dz =
A 2x2 + y2
Bach
R D
3A
D
a C
I 1408
&
602:7
a
2802 +
2B
A- B
-
6 .
.
8 2A + 2B
·
procedure
A
* &
D
for part I
R
uncertainty
·
R 2B
-x
-
B my =
129
D
uncertainty = 10 .
59
mz =
169
2A
2
R = (m , ) + (mz) =
20
AR = 2 M , AM ,+ 2 MIAMI 12 + 16
= =
0 7 .
40
2 m ,
2
+ my
