Question

2. The pendulum sketched in Figure 2 lays in the vertical plane with gravity acting in y direction. Mass m is attached to a massless link with length L that is hinged to point O. A horizontal force F is acting on the lower end of the pendulum and a spring with stiffness k and zero natural length is attached to the center (Point c). Choose $\theta$ as the generalized coordinate and : a) Write the kinetic energy T and potential energy V of the system. b) Obtain the non-conservative generalized force associated with $\theta$. c) By using Hamilton's principle obtain the equation of motion. Figure 2: Pendulum with a spring attached to the middle and force F acting at the end.

          2. The pendulum sketched in Figure 2 lays in the vertical plane with gravity acting in y
direction. Mass m is attached to a massless link with length L that is hinged to point O.
A horizontal force F is acting on the lower end of the pendulum and a spring with
stiffness k and zero natural length is attached to the center (Point c). Choose $\theta$ as the
generalized coordinate and :
a) Write the kinetic energy T and potential energy V of the system.
b) Obtain the non-conservative generalized force associated with $\theta$.
c) By using Hamilton's principle obtain the equation of motion.
Figure 2: Pendulum with a spring attached to the middle and force F acting at the end.

2. The pendulum sketched in Figure 2 lays in the vertical plane with gravity acting in y
direction. Mass m is attached to a massless link with length L that is hinged to point O.
A horizontal force F is acting on the lower end of the pendulum and a spring with
stiffness k and zero natural length is attached to the center (Point c). Choose θ as the
generalized coordinate and :
a) Write the kinetic energy T and potential energy V of the system.
b) Obtain the non-conservative generalized force associated with θ.
c) By using Hamilton's principle obtain the equation of motion.
Figure 2: Pendulum with a spring attached to the middle and force F acting at the end.

Added by Sherry R.

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