Changes need to be made for conserved momentum to exist

Reference no: EM13553033

Write the Lagrangian for a particle of mass m constrained to move on an inclined plane whose angle with respect to the horizontal is θ and derive the equation(s) of motion from Lagrange’s equation(s). Explain what changes need to be made for a conserved momentum to exist and write the Lagrangian under those conditions.

Reference no: EM13553033

Questions Cloud

Determine the electric potential energy of this group : Four identical charges (+2uC each) are brought from infinity and fixed to a straight line. The charges are located .4 m apart. Determine the electric potential energy of this group.

Determine the electric power drawn by the heat pump : A heat pump with a cop of 1.8 supplies energy to a house at a rate of 75000 kJ/h. Determine the electric power drawn by the heat pump and the rate of heat removal from the outside air

Calculate the fraction of energy lost in the resistor : calculate the fraction of energy lost in the resistor in the charging RC circuit. By integrating the power dissipated in the resistor and applying energy conservation between t=0 and t= infinity.

Probability of electron in ground state of hydrogen atom : Calculate the probability of an electron in the ground state of the hydrogen atom being inside the region of the proton (radius = 1*10^-15 m). (Hint: note that r

Changes need to be made for conserved momentum to exist : Write the Lagrangian for a particle of mass m constrained to move on an inclined plane whose angle with respect to the horizontal is θ and derive the equation(s) of motion from Lagrange’s equation(s).

What is its angular acceleration in rad : A computer disk drive is turned on starting from rest and has constant angular acceleration. What is its angular acceleration, in rad/s^2?

Uniform spherical distribution of mass with volume density : For a uniform spherical distribution of mass with volume density ? and radius R, find the magnitude of the gravitational field at a distance d from the center of the mass distribution (d > R). Possibly useful: div g = -4?G?.

Dimensional space with gravity acting : A particle of mass m is located in 3-dimensional space with gravity acting on it in the vertical direction. Write the Lagrangian, the equations of motion, and all conserved quantities including energy if they exist

An ice cube is floating at the top of a glass of water : An ice cube is floating at the top of a glass of water. After it melts completely, will the water level rise, fall, or stay the same? Explain your answer.

User Account

All Pages