Home /
Expert Answers /
Mechanical Engineering /
2-96-a-cylinder-of-mass-m-and-mass-moment-of-inertia-j-is-connected-to-a-spring-of-stiffness-k-and-r-pa145
(Solved): 2.96 A cylinder of mass m and mass moment of inertia J is connected to a spring of stiffness k and r ...
2.96 A cylinder of mass m and mass moment of inertia J is connected to a spring of stiffness k and rolls on a rough surface as shown in Fig. 2.106. If the translational and angular displace- ments of the cylinder are x and u from its equilibrium position, determine the following:
a. Equation of motion of the system for small displacements in terms of x using the energy
method.
b. Equation of motion of the system for small displacements in terms of u using the energy
method.
c. Find the natural frequencies of the system using the equation of motion derived in parts
(a) and (b). Are the resulting natural frequencies same?
PLEASE NOTE THAT THE Figure is not as the figure in the textbook and it is as shown with two springs
2.96 A cylinder of mass m and mass moment of inertia J is connected to a spring of stiffness k and rolls on a rough surface as shown in Fig. 2.106. If the translational and angular displace- ments of the cylinder are x and 0 from its equilibrium position, determine the following: a. Equation of motion of the system for small displacements in terms of x using the energy method. b. Equation of motion of the system for small displacements in terms of using the energy method. e. Find the natural frequencies of the system using the equation of motion derived in parts (a) and (b). Are the resulting natural frequencies same?
74, 96 (change problem as shown below) k X 0000000000 k 0000000000 R 0 - Cylinder rolls without sliding Rough surface