This document summarizes work, energy, and the work-energy principle as applied to connected bodies. It discusses conservative and non-conservative forces, defines work, and states the work-energy theorem for both kinetic and potential energy. The theorem states that the work done on an object is equal to the change in its kinetic (or potential) energy. The document provides examples and sample problems applying these concepts to blocks connected by a cable or moving up an inclined plane.

1. Work Energy Principle
and its
application on
connected bodies

2. Presented by
Nayel Biswas(34900721019)
K Dhanraj Rao(34900721016)
Mechanical Engineering,2nd Year, 3rd Sem

3. Topics
 Work done, Conservative and Non-conservative force
 Work Energy Theorem(KE)
 Its example
 Work Energy Theorem(PE)
 Its example
 Numericals related to Work Energy Theorem

4. Work:- The work done by a force can be defined as the product of the
displacement covered by an object when the force applied on it.
Conservative force:- A force said to be conservative when total work done
in moving a particle between two points is independent of the path taken by
particle.
Such as gravitational force
Non conservative force:- The work done by that force depends on the
path taken between the initial and final positions of the particle.
Example:- Frictional Force
dW = F . ds

5. Work Energy Theorem(KE)
The work done by the force acting on a particle during its
displacement is equal to change in kinetic energy in that
displacement.
Work Done = Change in Kinetic Energy

7. Work Energy Theorem(PE)
Work done by conservative force acting on a particle
during its displacement is equal to change in
potential energy in that displacement.
Work Done = Change in Potential Energy

10. Q: Two blocks are joined by an inextensible cable as shown. If the
system is released from rest, determine the velocity of block A
after it has moved 2m, Assume that the coefficient of kinetic
friction between block A and the plane is 0.25 and that the pully is
Weightless and frictionless.

11. Solution:

12. Q: A body weighing 300 N is pushed up a 30 Degree plane by a 400
N force acting parallal to the plane. If the initial velocity of the
body is 1.5 m/s and coefficient of kinetic friction is μ = 0.2,what
velocity will the body have after moving 6 m

13. Solution:

14. THANK YOU