Ask
Login
1
4.5kviews
A circular cylinder of mass 4Kg and radius 15cm is connected by spring of stiffness 4000N/m as shown in fig. Its free to roll on horizontal rough surface without slipping, determine natural frequency.
written 6.3 years ago by gravatar for rakeshrameshpoojari rakeshrameshpoojari • 70 modified 2.4 years ago by gravatar for Krishna_Agrawal Krishna_Agrawal • 2.7k

Subject:- Mechanical Vibration

Topic:- Basic Concepts of Vibration

Difficulty:- Medium


enter image description here
engineering mechanics
ADD COMMENT EDIT
1 Answer
0
552views
written 2.4 years ago by gravatar for Krishna_Agrawal Krishna_Agrawal • 2.7k

enter image description here

enter image description here

Total energy of the given system -

T = Kinetic Energy due to translatory motion + Kinetic Energy due to rotatory motion + Potential Energy of spring

$T = \frac{1}{2}mx^2 + \frac{1}{2}Iθ^2 + \frac{1}{2}kx^2 $

$T = \frac{1}{2}mr^2θ^2 + \frac{1}{2}.\frac{1}{2}mr^2θ^2 + \frac{1}{2}kr^2θ^2 $

$T = \frac{1}{2}mr^2θ^2 + \frac{1}{4}mr^2θ^2 + \frac{1}{2}kr^2θ^2 …

Create a free account to keep reading this post.

and 2 others joined a min ago.

ADD COMMENT EDIT
Please log in to add an answer.