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Solved Examples - III
Lesson 8 of 135 • 4 upvotes • 12:40mins
Asim Anand
Solved Examples. Correction: At 12:05, I mentioned that the direction of the angular velocity is either clockwise or anti clockwise. This should be read as "The direction of the angular velocity is perpendicular to the plane of motion and that depends on whether the sense of rotation (omega) is clockwise or anti clockwise".
Mathematics Optional for UPSC - Dynamics
135 lessons • 9h 47m
1
Overview
1:42mins
2
Kinematics in Two Dimensions - I [Chapter 1]
10:33mins
3
Kinematics in Two Dimensions - II
9:50mins
4
Kinematics in Two Dimensions - III
10:56mins
5
Kinematics in Two Dimensions - IV
8:45mins
6
Solved Examples - I
9:52mins
7
Solved Examples - II
11:19mins
8
Solved Examples - III
12:40mins
9
Radial and Transverse Velocities
4:53mins
10
Radial and Transverse Accelerations
2:35mins
11
Solved Examples
4:30mins
12
Tangential and Normal Velocities
6:24mins
13
Tangential and Normal Accelerations
3:17mins
14
Solved Examples [Chapter 1 conclusion]
2:43mins
15
Rectilinear Motion - Introduction [Chapter 2]
6:32mins
16
Solved Examples
6:12mins
17
Motion under Constant Acceleration
4:12mins
18
Solved Examples
9:51mins
19
Newton's Laws of Motion
3:14mins
20
Simple Harmonic Motion (S.H.M.) - Introduction
10:29mins
21
S.H.M. - Nature of motion
4:33mins
22
S.H.M. - Important Definitions
9:26mins
23
Geometrical Representation of S.H.M.
5:23mins
24
Important results about S.H.M.
2:17mins
25
Solved Examples
13:24mins
26
Hooke's Law
5:11mins
27
Horizontal Elastic String - Equations of Motion
5:32mins
28
Horizontal Elastic String - Character of Motion
6:09mins
29
Solved Example
6:59mins
30
Vertical Elastic String - Equations of Motion
7:10mins
31
Vertical Elastic String - Two important cases
7:27mins
32
Solved Examples
11:24mins
33
Correction
0:32mins
34
Motion under Inverse Square Law
7:53mins
35
Newton's Law of Gravitation
1:25mins
36
Solved Examples
9:49mins
37
Motion under Miscellaneous Laws of Forces [Chapter 2 conclusion]
7:22mins
38
Constrained Motion - Motion in a Vertical Circle [Chapter 3]
11:09mins
39
Motion in a Vertical Circle - Case I
1:59mins
40
Motion in a Vertical Circle - Case II
1:21mins
41
Motion in a Vertical Circle - Case III
2:47mins
42
Motion in a Vertical Circle - Case IV
3:32mins
43
Important Results from Projectiles
3:59mins
44
Solved Examples
5:38mins
45
Motion on the Outside of a smooth Vertical Circle
10:30mins
46
Solved Examples
6:28mins
47
Cycloid
4:37mins
48
Motion on a Cycloid - I
5:44mins
49
Motion on a Cycloid - II
3:33mins
50
Solved Examples
4:44mins
51
Motion on the outside of a smooth Cycloid
5:25mins
52
Solved Examples
14:31mins
53
Simple Pendulum - Introduction
2:40mins
54
Simple Pendulum - Small Oscillations
1:10mins
55
Simple Pendulum - Oscillations are not small
5:24mins
56
Beats and Second's Pendulum
2:35mins
57
Gain or Loss of Beats
4:41mins
58
Gain or loss of beats - Specific Situations
4:18mins
59
Solved Example [Chapter 3 conclusion]
2:14mins
60
Central Orbits - Introduction [Chapter 4]
5:56mins
61
Differential Equation of a Central Orbit - Polar Form
5:26mins
62
Differential Equation of a Central Orbit - Pedal Form
4:37mins
63
Rate of Description of the Sectorial Area
8:51mins
64
Elliptic Orbit - Law of Force
3:16mins
65
Elliptic Orbit - Velocity at any point
2:12mins
66
Elliptic Orbit - Periodic Time
2:37mins
67
Hyperbolic & Parabolic Orbits
2:05mins
68
Velocity from Infinity
2:45mins
69
Velocity in a Circle
2:31mins
70
Given the Central Orbit, to find the Law of Force
2:27mins
71
Solved Examples
6:56mins
72
Apse, Apsidal Distance & Apsidal Angle
3:15mins
73
Theorem
3:03mins
74
Given the Law of Force, to find the Orbit
1:29mins
75
Solved Examples [Chapter 4 conclusion]
10:55mins
76
Planetary Motion - Newton's Law of Gravitation [Chapter 5]
1:27mins
77
Motion under the Inverse Square Law
3:29mins
78
Elliptic, Parabolic & Hyperbolic Paths
2:18mins
79
Summary of the three cases
4:49mins
81
Kepler's Laws of Planetary Motion
0:52mins
82
Deductions from Kepler's Laws
2:28mins
83
Important Geometrical Properties of an Ellipse
2:42mins
84
Solved Examples
9:55mins
85
Time of description of an arc - Parabolic Orbit
3:30mins
86
Time of description of an arc - Elliptic Orbit
5:11mins
87
Time of description of an arc - Hyperbolic Orbit [Chapter 5 conclusion]
3:59mins
88
Motion in a Resisting Medium - Introduction [Chapter 6]
1:43mins
89
Terminal Velocity
2:14mins
90
Motion of a Particle falling under Gravity - Relation between v & x
4:25mins
91
Motion of a Particle falling under Gravity - Relation between v & t
2:14mins
92
Motion of a Particle falling under Gravity - Relation between x & t
1:16mins
93
Motion of a Particle Projected Vertically Upwards
5:41mins
94
Solved Examples [Chapter 6 conclusion]
6:10mins
95
Projectile Motion - Introduction [Chapter 7]
1:05mins
96
Motion of a Projectile & it's Trajectory - I
5:32mins
97
Motion of a Projectile and it's Trajectory - II
2:04mins
98
Latus Rectum of the Trajectory
2:45mins
99
Vertex & Focus of the Trajectory
3:29mins
100
Directrix of the Trajectory
1:30mins
101
Time of Flight
1:43mins
102
Horizontal Range
0:57mins
103
Maximum Horizontal Range
3:29mins
104
Maximum Height
0:59mins
105
Velocity at any point of the Trajectory
3:10mins
106
Locus of the Focus of the Trajectory
1:55mins
107
Locus of the Vertex of the Trajectory
1:22mins
108
Important Geometrical Properties of a Parabola
2:11mins
109
Solved Examples
5:40mins
110
Two directions of projection to hit a given point
1:38mins
111
Least velocity of projection to hit a given point
2:30mins
112
Two times of flight to hit a given point
2:13mins
113
Range and Time of Flight on an Inclined Plane
5:20mins
114
Maximum Range up the Inclined Plane
5:14mins
115
Range & Time of Flight down an Inclined Plane
5:16mins
116
Solved Examples
4:29mins
117
Envelope of the Trajectories with the same Velocity of Projection
5:17mins
118
Geometrical Interpretation of the Enveloping Parabola & Solved Example
5:21mins
119
Particles suffered to describe Parabolic Paths & Solved Example [Chapter 7 conclusion]
6:16mins
120
Work - I [Chapter 8]
5:17mins
121
Work - II
6:09mins
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