Construct the Lagrange and Hamilton functions and the Lagrange equations for a pendulum consisting of a...

Construct the Lagrange and Hamilton functions and the Lagrange equations for a pendulum consisting of a mass m suspended on a weightless inextensible thread, coiled to a fixed horizontal cylinder of radius R . The length of the thread in the equilibrium position is equal to l.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Consider a pendulum consisting of a mass m in a gravitational field, with the (massless) pendulum...

Consider a pendulum consisting of a mass m in a gravitational field, with the (massless) pendulum arm being a spring of spring constant k and “resting length” b. The pendulum is confined to move in a plane as usual. Write the Lagrangian and find the equations of motion.

Set up the system of equations that are needed to be solved using Lagrange multipliers in...

Set up the system of equations that are needed to be solved using Lagrange multipliers in order to find the dimensions of the rectangular box with an open-top, having volume 4000 m^3 with a minimal surface area.

A) Write the Lagrangian for a simple pendulum consisting of a point mass m suspended at...

A) Write the Lagrangian for a simple pendulum consisting of a point mass m suspended at the end of a massless string of length l. Derive the equation of motion from the Euler-Lagrange equation, and solve for the motion in the small angle approximation. B) Assume the massless string can stretch with a restoring force F = -k (r-r0), where r0 is the unstretched length. Write the new Lagrangian and find the equations of motion. C) Can you re-write the...

DIFFERENTIAL EQUATIONS A simple pendulum is an example of a free, damped vibration. Derive the equation...

DIFFERENTIAL EQUATIONS A simple pendulum is an example of a free, damped vibration. Derive the equation of motion of a simple pendulum of mass m and length l, displaced a small angle (<15o) from equilibrium in a viscous medium of damping constant b. Devise an experimental means of determining the damping constant and find this value for air. PLEASE SHOW THE COMPLETE PROCEDURE OF THE DIFFERENTIAL EQUATION SOLUTION

How would you construct a pendulum clock that is reliable under a variety of temperatures?

For a Ballistic Pendulum Lab; Describe in words how you used the equations for constant acceleration...

For a Ballistic Pendulum Lab; Describe in words how you used the equations for constant acceleration in this lab. Show how you derived the result.

For a life insurance company, it is important to construct life tables (consisting of the probability...

For a life insurance company, it is important to construct life tables (consisting of the probability that a person will survive in the next year, conditional on a person that has been survived up to current). A life insurance company uses life tables to assist calculation of life insurance premium. Assume that the lifetime of randomly selected person is approximately normally distributed with a mean 68 years and a standard deviation 4 year. a) A whole life insurance implies that...

Construct a Bayesian Network that functions as a Naïve Bayes Classifier.

Construct a Bayesian Network that functions as a Naïve Bayes Classifier. The naïve assumption lies on the fact that values of attributes are independent conditional on the decision variable. Keep this in mind while creating the network. The construction should include a graph (diagram of the network) and then the conditional probability distribution for the variables.

Lily plans to construct a portfolio consisting of only two equity investments in TTT and SSS...

Lily plans to construct a portfolio consisting of only two equity investments in TTT and SSS ordinary shares. From her research, she finds out that these two investments have a correlation coefficient of -0.389 She plans to invest 80% in share SSS and the remaining in share TTT. The following are additional information collected in respect of these two investments: Share TTT Share SSS Standard deviation: 13.39% 8.16% Mean return: 9.10% 5.96% Based on the portfolio investment information given above,...

Do a search on the internet using the terms special functions differential equations

Subjects