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TIPS FOR TAKING ONLINE CLASS
FOR YOURSELF
1: Be ready before the starting time
2: Treat an online course like a real course
3: Hold yourself accountable
4: Practice time management
5: Create a regular study space and stay organized
6: Eliminate distractions
7: Figure out how you learn best
8: Actively participate
9: Leverage your network
INSIDE THE CLASS
1: Open your camera
2: Mute your audio
3: take your pen, copy and other material sources
3: Don’t add your note on the screen
4: Do ask, write and share after the permission. It
will be provided at the end of the class
5: Be more disciplined.
1
This is a REGULAR CLASS. Please make a
note by writing down what you have
seen here.
Make a separate note for CURRENT
ELECTRICITY.
Scalars & Vectors OLD is
GOLD Discussion
𝐻𝑒𝑟𝑒 𝐴𝐵 ≠ 0 𝑡ℎ𝑒𝑛 𝑖𝑡 𝑚𝑢𝑠𝑡 𝑏𝑒
𝑐𝑜𝑠𝜃 = 0
→ 𝜃 = 90°
Numerical Problems
A truck travelling at a 50 km/h, north turns west at the same speed. What is the
change in velocity?
50 km/h
𝑽𝑨
𝑽𝑩
50 km/h
Change in velocity =∆𝑽 = 𝑽𝑩 − 𝑽𝑨
𝑽𝑩
𝑽𝑨
−𝑽𝑨
. . .. . . . . . . . . .
.
..
.
.
.
.
.
.
.
.
.
.
∆𝑉 = 𝑉𝐴
2 + 𝑉𝐵2
= 𝟓𝟎 𝟐 km/hr.
𝑽𝑨
𝑽𝑩
−𝑽𝑨
.
..
.
.
.
.
.
.
.
.
.
.
Alternative
Due East
Towards East
𝜃
North of East by 𝜃
E
N
S
W
North East
45°
45°
E
N
S
W
30°
N
E
S
W
E
N
S
W
N
𝜃
East of North by 𝜃
E
S
W E
N
S
W
A sail boat sails 2km east then 4km southwest, then an additional distance is unknown direction.
Its final position is 5 km directly east of starting point, Find the magnitude and direction of third
leg of journey.
Solution
Here
Rx = Ax + Bx + Cx
5 = 2 + (-4sin45°) + Cx
∴ 𝐶𝑥 = 5.83 𝑘𝑚
Ry = Ay + By + Cy
0 = O + (-4cos 45°) + Cy
∴ 𝐶𝑦 = 2.83 𝑘𝑚
Now
C = 𝒄𝒙
𝟐 + 𝑪𝒚𝟐
= 5.83 2 + 2.83 2
= 6.48 km
Direction : 𝐭𝐚𝐧
_𝟏 𝑪𝒚
𝑪𝒙
= 𝑇𝑎𝑛
_1 2.83
5.83
= 25.89° North of East
Alternatively
𝐴 = 2𝑖
𝐵 = −4𝑠𝑖𝑛45°𝑖 − 4𝑐𝑜𝑠45°𝑗 = −2.82𝑖 − 2.83𝑗
𝐶 = 𝑢𝑛𝑘𝑛𝑜𝑤𝑛
𝑅 = 5𝑖
𝑺𝒊𝒏𝒄𝒆: 𝑹 = 𝑨 + 𝑩 + 𝑪
5𝑖 = 2𝑖 − 2.83𝑖 − 2.83𝑗 + 𝐶
𝐶 = 5 − 2 + 2.83 𝑖 + 2.83𝑗
𝐶 = 5.83𝑖 + 2.83𝑗
𝑁𝑜𝑤
𝑀𝑎𝑔𝑛𝑖𝑡𝑢𝑑𝑒 ∶ 𝑪 = 𝟓. 𝟖𝟑 𝟐 + 𝟐. 𝟖𝟑 𝟐 = 6.48 𝑘𝑚
𝐷𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛: 𝑻𝒂𝒏
_𝟏 𝑪𝒚
𝑪𝒙
= 𝑇𝑎𝑛
_1 2.83
5.83
=25.89° North of East
Of west
Ans:
X
Y
UDAY KHANAL
Department of Physics
CCRC
41
The essence of SCIENCE: ask an impertinent question, and
you are on the way to a pertinent answer.
DID YOU ENJOYE THE CLASS?
Leave your valuable suggestions so that I will be
better for you all in the next class. Your
suggestions are highly appreciated.
NO?
Yes?
Scalars and Vectors Part 5

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Scalars and Vectors Part 5

  • 1. TIPS FOR TAKING ONLINE CLASS FOR YOURSELF 1: Be ready before the starting time 2: Treat an online course like a real course 3: Hold yourself accountable 4: Practice time management 5: Create a regular study space and stay organized 6: Eliminate distractions 7: Figure out how you learn best 8: Actively participate 9: Leverage your network INSIDE THE CLASS 1: Open your camera 2: Mute your audio 3: take your pen, copy and other material sources 3: Don’t add your note on the screen 4: Do ask, write and share after the permission. It will be provided at the end of the class 5: Be more disciplined. 1
  • 2. This is a REGULAR CLASS. Please make a note by writing down what you have seen here. Make a separate note for CURRENT ELECTRICITY.
  • 3. Scalars & Vectors OLD is GOLD Discussion
  • 4.
  • 5.
  • 6. 𝐻𝑒𝑟𝑒 𝐴𝐵 ≠ 0 𝑡ℎ𝑒𝑛 𝑖𝑡 𝑚𝑢𝑠𝑡 𝑏𝑒 𝑐𝑜𝑠𝜃 = 0 → 𝜃 = 90°
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 31. A truck travelling at a 50 km/h, north turns west at the same speed. What is the change in velocity? 50 km/h 𝑽𝑨 𝑽𝑩 50 km/h Change in velocity =∆𝑽 = 𝑽𝑩 − 𝑽𝑨 𝑽𝑩 𝑽𝑨 −𝑽𝑨 . . .. . . . . . . . . . . .. . . . . . . . . . . ∆𝑉 = 𝑉𝐴 2 + 𝑉𝐵2 = 𝟓𝟎 𝟐 km/hr. 𝑽𝑨 𝑽𝑩 −𝑽𝑨 . .. . . . . . . . . . . Alternative
  • 32. Due East Towards East 𝜃 North of East by 𝜃 E N S W North East 45° 45° E N S W 30° N E S W E N S W N 𝜃 East of North by 𝜃 E S W E N S W
  • 33. A sail boat sails 2km east then 4km southwest, then an additional distance is unknown direction. Its final position is 5 km directly east of starting point, Find the magnitude and direction of third leg of journey. Solution Here Rx = Ax + Bx + Cx 5 = 2 + (-4sin45°) + Cx ∴ 𝐶𝑥 = 5.83 𝑘𝑚 Ry = Ay + By + Cy 0 = O + (-4cos 45°) + Cy ∴ 𝐶𝑦 = 2.83 𝑘𝑚 Now C = 𝒄𝒙 𝟐 + 𝑪𝒚𝟐 = 5.83 2 + 2.83 2 = 6.48 km Direction : 𝐭𝐚𝐧 _𝟏 𝑪𝒚 𝑪𝒙 = 𝑇𝑎𝑛 _1 2.83 5.83 = 25.89° North of East Alternatively 𝐴 = 2𝑖 𝐵 = −4𝑠𝑖𝑛45°𝑖 − 4𝑐𝑜𝑠45°𝑗 = −2.82𝑖 − 2.83𝑗 𝐶 = 𝑢𝑛𝑘𝑛𝑜𝑤𝑛 𝑅 = 5𝑖 𝑺𝒊𝒏𝒄𝒆: 𝑹 = 𝑨 + 𝑩 + 𝑪 5𝑖 = 2𝑖 − 2.83𝑖 − 2.83𝑗 + 𝐶 𝐶 = 5 − 2 + 2.83 𝑖 + 2.83𝑗 𝐶 = 5.83𝑖 + 2.83𝑗 𝑁𝑜𝑤 𝑀𝑎𝑔𝑛𝑖𝑡𝑢𝑑𝑒 ∶ 𝑪 = 𝟓. 𝟖𝟑 𝟐 + 𝟐. 𝟖𝟑 𝟐 = 6.48 𝑘𝑚 𝐷𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛: 𝑻𝒂𝒏 _𝟏 𝑪𝒚 𝑪𝒙 = 𝑇𝑎𝑛 _1 2.83 5.83 =25.89° North of East
  • 35.
  • 36.
  • 37.
  • 38. Ans:
  • 39. X Y
  • 40.
  • 41. UDAY KHANAL Department of Physics CCRC 41
  • 42. The essence of SCIENCE: ask an impertinent question, and you are on the way to a pertinent answer.
  • 43. DID YOU ENJOYE THE CLASS? Leave your valuable suggestions so that I will be better for you all in the next class. Your suggestions are highly appreciated. NO? Yes?