Problem of a child on a swing using the lagrangian method

Reference no: EM13553733

Draw the situation and define a workable set of generalized coordinates that could be used to solve the problem of a child on a swing using the Lagrangian method.

Reference no: EM13553733

Questions Cloud

The free-fall height increase will power required by moment : You are asked to design a robot that can right itself once it is left to free-fall. Bioinspired from a cat, specify the hardware components and the minimum number of body segments that are needed to achieve this task. Qualitatively state the “rela..

Obtain lagranges equations of motion for this particle : Some particle of mass m is constrained to move on the surface of a vertical cylinder defined by 2 2 2 x ? y ? R , where R is the radius of the cylinder. The particle is subject to a force directed towards the origin and proportional to the distanc..

An infinitely long conducting cylinder of radius : An infinitely long conducting cylinder of radius a carries a change qi per unit length. If ρ is the perpendicular distance from the axis of the cylinder. Find the scalar potential φ everywhere.

Determine its maximum speed and acceleration : A 500 gram mass oscillates with an amplitude 9.0cm and a frequency of 1.8 Hz. Determine its MAXIMUM speed and acceleration, and its speed when it is 4cm from its equilibrium position.

Problem of a child on a swing using the lagrangian method : Draw the situation and define a workable set of generalized coordinates that could be used to solve the problem of a child on a swing using the Lagrangian method.

Velocity of the car when it started to accelerate : A car, initially traveling with a uniform velocity, accelerates at a rate of 1.0 m/s^2 for a period of 12 seconds. If the car traveled 190 m during this 12 second period, what was the velocity of the car when it started to accelerate?

What is the rms speed of the molecules : The rms speed of the molecules in 1.1 of hydrogen gas is 1700 .500J of work are done to compress the gas while, in the same process, 1800 of heat energy are transferred from the gas to the environment. Afterward, what is the rms speed of the molecule..

Obtain hamiltons canonical equations of motion : Consider a simple pendulum of length l and mass m placed in a rail-road cart that has constant acceleration a in the positive x-direction. Obtain Hamilton's canonical equations of motion for this pendulum.

Thin homogeneous plate has the shape of equilateral triangle : A thin homogeneous plate has the shape of an equilateral triangle and is suspended from one apex, acting as a physical pendulum. Use the Lagrangian to obtain the equation of motion and find the frequency of small oscillations, assuming the motion tak..

User Account

All Pages