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Engineering Mechanics: Dynamics

A Foundation Course to become an expert in Engineering Mechanics-with Regular Updates

Created byBaskar P

Last updated 1/2025

English

English [Auto],

What you'll learn

The linear and angular motions of rigid bodies.
The motion of projectiles.
The linear and angular momentum of rigid bodies.
The work, energy, and power.

Course content

8 sections • 51 lectures • 3h 51m total length

Welcome to the Course - Engineering Mechanics: Dynamics2:10
Explore the fundamentals of dynamics, including kinematics, kinetics, and mathematical modeling, to analyze rigid bodies and design machine elements across seven modules.

Types of Motion3:06
Speed, Velocity, and Acceleration7:41
Equations of Rectilinear Motion3:53
Apply equations of rectilinear motion: average velocity (u+v)/2, v = u + a t, s = u t + 1/2 a t^2, and v^2 - u^2 = 2 a s.
Numerical Example of Linear Motion-11:40
A particle moves with an acceleration of 2 m/s2. Determine the velocity of the particle after 2 seconds.
Numerical Example of Linear Motion-27:31
The motion of a particle is governed by an equation , where a is the acceleration of the particle in m/s and t is the time in seconds. The velocity of the particle is 10 m/s at t = 3 seconds and the dispacement is 14 m at t = 2 seconds. Determine
(i) the velocity of the particle after 6 seconds and
(ii) the distance travelled after 4 seconds.
Numerical Example-Max. Velocity of a Particle2:10
The velocity of a moving particle is defined by the equation , where t is the time in seconds. Find the time at which the velocity is maximum. Also find the maximum velocity.
Numerical Example of Linear Motion-32:01
A car starting from rest is accelerated at the rate of 0.8 m/s2. Find the distance covered by the car in 30 seconds.
Numerical Example of Linear Motion-42:14
A car starts from rest and moves with a constant acceleration of 2 m/s2. Determine the speed of the car, after it has travelled a distance of 100 m.
Numerical Example of Linear Motion-57:02
A car takes 15 seconds to cover 40 m and 22.5 seconds to cover 58 m. Find the uniform acceleration of the car and its velocity at the end of 18 seconds.
Numerical Example of Linear Motion-64:52
A stone dropped into a well and falls with a constant acceleration of 9.81 m/s2. The sound of impact of the stone is heard after 5 seconds. If the speed of the sound is 336 m/s, find the depth of the well.
Numerical Example of Linear Motion-73:56
A ball is dropped from the top of a tower of height 60 m high. At the same time, another ball is thrown upwards from the foot of the tower to meet the first ball at a distance of 18 m. Find the speed of projection of the second ball.
Numerical Example of Linear Motion-85:22
An airplane, moving horizontally at 180 kmph at an altitude of 1200 m towards a target on the ground, releases a bomb which hits it. Neglecting the air resistance find the horizontal distance of the airplane from the target, when it releases the bomb. Also find the direction and speed with which the bomb hits the target.
Numerical Example of Linear Motion-92:48
The velocity of a moving particle is defined by the equation , where t is the time in seconds. Find the time at which the velocity is maximum. Also find the maximum velocity.
Numerical Example of Linear Motion-105:28
A particle is falling freely under gravity for a height of 20 m in one second. Find the time required to cover next 15 m.
Numerical Example of Linear Motion-117:32
Two cars are travelling towards each other on a single lane road with 12 m/s and 9 m/s respectively. When 100 m apart, both drivers realise the situation and applied their brakes. They succeed in stopping simultaneously and just short of colliding. Assume constant retardation for each case, determine (i) time required for cars to stop, (ii) retardation of each car, and (iii) distance travelled by each car while slowing down.
Numerical Example of Linear Motion-123:43
Rectilinear Motion

Types of Motions3:06
Explore the kinematics of particles or rigid bodies by examining rectilinear, curvilinear, and circular (rotary) motions, and how displacement and velocity describe these paths.
Equations of Curvilinear Motion4:56
Summarizes curvilinear and circular motion equations, including omega = omega0 + alpha t, theta = omega0 t + 1/2 alpha t^2, and omega^2 = omega0^2 + 2 alpha theta.
Numerical Example-Motion along a curved path6:34
The motion of a particle along a curve is described by the equations and where x and y are in meters and t is in seconds. Find the velocity and acceleration of the particle when t = 4 seconds.
Numerical Example of Angular Motion-15:47
The angle of rotation of a particle is given by an equation q = q0+At2+Bt. Where, q0 is the initial angular displacement and A and B are constants. If the initial angular velocity is 10 rad/s and after 3 seconds the angular velocity becomes 25 rad/s obtain the general expression for angular velocity and angular acceleration.
Numerical Example of Angular Motion-25:59
The angle of rotation of a particle is given by an equation q = 3t3-6t2+7t+8. Where, q is in radians and t is in seconds. Find the angular velocity and angular acceleration of the particle when t = 0 and t = 5 s.
Numerical Example of Angular Motion-34:57
A wheel, starting from rest, rotates with an acceleration of 1 rad/s2. Find the speed of the wheel in rpm at the end of 2 minutes. If the wheel is uniformly retarded at the rate of 0.4 rad /s2, find the time taken by the wheel to come to rest.
Numerical Example - Velocity Components6:59
The motion of a particle along a curve is governed by the equations and where x and y are in meters and t is in seconds. Find the velocity and acceleration of the particle when t = 4 seconds.
Numerical Example - Motion of a Particle6:20
The motion of a particle along a curve is governed by the equations x= and y = where x and y are in meters and t is in seconds. Find the velocity and acceleration of the particle when t = 5 seconds.
Numerical Example - Motion of a Particle9:35
The motion of a particle is governed by an equation , where a is the acceleration of the particle in m/s and t is the time in seconds. The velocity of the particle is 12 m/s at t = 4 seconds and the dispacement is 15 m at t = 2 seconds. Determine
(i) the velocity of the particle after 7 seconds and
(ii) the distance travelled after 5 seconds.
Curvilinear Motion

Introduction to Projectiles - Important Definitions2:01
Define key projectile concepts such as gravity, range, and maximum height. Explain the trajectory, initial and final velocity, horizontal and vertical components, and angle of projection.
Numerical Example of Projectile Motion-11:50
Numerical Example of Projectile Motion-21:36
Calculate flight time for a projectile launched at 40 degrees with 65 m/s using t = 2 u sin theta / g, g = 9.81 m/s^2, yielding 8.5 seconds.
Numerical Example of Projectile Motion-71:51
Numerical Example of Projectile Motion-84:07
Numerical Example - Angle of Projection4:11
Projectiles

Introduction to Laws of Motion - Important Definitions7:31
Numerical Example of Laws of Motion-14:29
A force of 200 N is applied on a block of mass 300 kg for 1.5 minutes. If the initial speed of the block is 20 m/s, find the final speed of the block (i) when the force is applied in the direction of motion and (ii) when the force is applied in the opposite direction of motion.
Numerical Example of Laws of Motion-24:55
Laws of Motion
Motion of Connected Bodies

Introduction to Collision of Elastic Bodies - Definitions and Types of Collision3:17
Explore elastic collisions where deformable bodies bounce after impact, transferring energy while conserving momentum and kinetic energy, and distinguish them from inelastic collisions where bodies stick together.
Numerical Example of Momentum4:46
Numerical Example of Collision of Elastic Bodies-22:33
A gun fires 90 bullets per minute. The mass of each bullet is 10 grams and the speed of the bullet from the barrel of the gun is 200 m/s. Find the momentum transferred to the bullets per second.
Numerical Example of Collision of Elastic Bodies-26:22
A ball is dropped from a height of 1.2 m on a smooth floor. Find the coefficient of restitution and the expected height of the second bounce, if the height of the first bounce is 1.0 m.
Numerical Example of Collision of Elastic Bodies-36:15
A bullet of mass 100 grams is fired into a freely suspended wooden block of mass 10 kg. Due to the impact, the bullet gets imbedded in the wooden block and the bullet and the block moves with a speed of 7 m/s. find the speed of the bullet with which it is fired and the loss of kinetic energy.
Numerical Example of Collision of Elastic Bodies-44:55
A car of mass 500 kg moves with a speed of 80 km/hr collides with a truck of mass 1500 kg which is at rest. After the collision, the truck moves with a speed of 36 km/hr. Find the speed of the car of after the impact. Also find the coefficient of restitution of the car and the truck.
Numerical Example of Trains Collision-16:20
Two trains of masses 15000 kg and 12000 kg moving in the same direction with speeds of 10 m/s and 16 m/s respectively collide and subsequently move together. Find the speed of the trains after the impact and loss of kinetic energy due to the impact.
Numerical Example of Railway Wagons Collision-17:23
Two railway wagons A and B move in the same direction. The wagon A collide with the wagon B and they move together after the impact. The mass of the railway wagon A is 16000 kg and the mass of the railway wagon B is 14000 kg. The wagons A and B have speeds of 15 m/s and ub m/s respectively. Find the speed of the railway wagon B if the common speed of the wagons after the impact is 12 m/s. Also find the loss of kinetic energy due to collision.
Collision of Elastic Bodies

Introduction to Work, Power and Energy3:32
Numerical Example of Work, Power and Energy-13:48
Calculate work to pull a 250 kg block up a smooth 25-degree incline for 12 m using the weight component along the plane (m g sin theta), yielding 112.44 kilojoules.
Numerical Example of Potential Energy2:44
Numerical Example of Kinetic Energy of Ball4:31
A ball of mass 4 kg and radius 0.1 m rolls on a horizontal surface at a speed of 5 m/s. Determine the total kinetic energy of the ball. Assume that the ball is not slipping.
Numerical Example of Kinetic Energy of Hollow Sphere4:20
A hollow sphere of mass 5 kg and radius 150 mm rolls on a horizontal surface without slipping. If the speed of the sphere is 8 m/s, determine the total energy of the sphere.
Numerical Example - Resisting Torque4:13
A flywheel of an I.C. engine has a weight of 1300 N and its diameter is 1000 mm. The flywheel is rotating at its rated speed of 1200 rpm and comes to rest after 2 minutes. Determine the resisting torque due to friction.
Numerical Example of KE of the Wheel3:42
Work, Power and Energy

Requirements

Basic knowledge of Physics and Mathematics.
Passion to learn the concepts of Engineering Mechanics-Dynamics.

Description

What is Dynamics in Engineering Mechanics?

Dynamics is a branch of Engineering Mechanics that deals with the motion of objects. If the motion of objects is analyzed without considering the forces, then the study is called kinematics, and if the forces are considered, then it is called kinetics.

How will this course help me in my studies and career?

Engineering Mechanics is one of the core subjects in the field of engineering and technology. This subject improves your analytical skills and thinking power. That is why Engineering Mechanics is considered a core subject for engineering students at all universities worldwide.

This course will teach you an analysis of the motion of the objects, such as displacement, velocity, acceleration, and other parameters. At the end of the course, you will be able to draw out the important information from the descriptive real-world problems and perform mathematical modeling and calculation to obtain the solution. This is what you call a problem-solving ability. Also, you will be able to apply the concepts in other areas of engineering applications. In other words, you will be able to utilize the skills and knowledge gained from this course in advanced-level subjects like Strength of Materials, Machine Design, Design of Structures, and so on. Even after the successful completion of your Engineering Degree, this subject will be the base for your day-to-day engineering activities.

What will you learn from this course?

In this course, you will learn

Basic Concepts of Dynamics in Engineering Mechanics
Kinematics of Rigid Bodies
Kinetics of Rigid Bodies
Impulse and Momentum
Work, Power, energy, and more...

What is the benefit of taking this course?

My major objective is to teach you the concepts so that you will be able to easily understand them and have enough confidence to solve any problem related to Mechanics. So, I put myself in your shoes and carefully designed and presented this course. I am sure that you will be able to grasp the concepts in less time compared to other courses. I always strive to improve the quality of the course by getting feedback from students like you.

This course will help you understand various subjects like Fluid Mechanics, Dynamics of Machinery, Aircraft Structures, Structural Analysis, and so on.

How to gain maximum benefit from the course?

My best suggestion is to ...

sit in a calm and quiet place with a notebook, pen, and scientific calculator and start learning the modules according to your convenience.
note down the important points and solve the numerical examples parallel to the lectures.
complete the quizzes and assignments/exercises provided in the course.
try to answer your university/institute questions related to the concepts you learned here to get confidence.

Should I require any books for the course?

No. You don't need any books. The course has been designed by referring to the following books (Author names are in alphabetical order), and you may also refer to these books:

Vector Mechanics for Engineers – Beer and Johnston
Engineering Mechanics: Dynamics – Hibbeler
Engineering Mechanics – Meriam and Kraige

What support will you get?

You will get answers to your questions, doubts, and clarifications within 24 hours of submitting your queries, additional resources within 48 hours, and regular updates.

Please watch the Free Preview videos, and if you like the approach, you can ENROLL and start learning.

I hope to see you on the course.

Thank You!

Who this course is for:

Science and Engineering students at diploma, graduate and post-graduate levels.
Working professionals who are curious and wish to refresh their knowledge for advanced courses.

Engineering Mechanics: Dynamics

What you'll learn

Explore related topics

Course content

Welcome to Engineering Mechanics-Dynamics1 lecture • 2min

Introduction to Engineering Mechanics-Dynamics1 lecture • 3min

Rectilinear Motion16 lectures • 1hr 11min

Curvilinear Motion9 lectures • 54min

Projectiles6 lectures • 16min

Laws of Motion3 lectures • 17min

Collision of Elastic Bodies8 lectures • 42min

Work, Power and Energy7 lectures • 27min

Requirements

Description

Who this course is for: