THEORY OF MACHINES (313313) Practical No 04 Degree of Freedom of given mechanism by using Kutzbach equation
In the design or analysis of a mechanism, one of the most important concerns is the number of degrees of freedom (also called movability) of the mechanism. It is defined as the number of input parameters (usually pair variables) that must be independently controlled to bring the mechanism to a useful engineering purpose. It is possible to determine the number of degrees of freedom of a mechanism directly from the number of links and the number and types of joints.
The Degree of Freedom (DOF) for each analyzed mechanism is calculated to be 1, indicating that all the mechanisms have a single independent motion in their respective mechanical systems.
Practical Related Questions
1. Explain the Kutzbach equation and its applications.
Answer:
2. Calculate degree of freedom of given mechanism
a. Cam follower mechanism
b. Slotted lever mechanism
c. Pendulum pump
d. Oldham coupling
e. Foot operated air pump
Answer:
Final answers
Cam follower mechanism: 1 DOF
Slotted lever mechanism: 2 DOF
Pendulum pump: 1 DOF
Oldham coupling: 0 DOF (structure)
Foot operated air pump: 1 DOF
Conclusion
The experiment successfully demonstrated that each mechanism's Degree of Freedom is accurately determined using the Kutzbach equation, confirming their functionality with a single independent motion.