m, m . Two particles of equal masses move on a frictionless harizontal surface. Their center of krị - mass is fixed and their potential energies are krž Also, they interact with each and akr other with potential R is the distance between the masses, and k and a are positive constants. a. Find the Lagrangian in terms of the center of mass position CM, R and the relative position r. b. Solve the Lagrange equations for the relative coordinates X,Y and x,y. C. Explain the physical outcome of the results obtained in b.

m, m . Two particles of equal masses move on a frictionless harizontal surface. Their center of krị - mass is fixed and their potential energies are krž Also, they interact with each and akr other with potential R is the distance between the masses, and k and a are positive constants. a. Find the Lagrangian in terms of the center of mass position CM, R and the relative position r. b. Solve the Lagrange equations for the relative coordinates X,Y and x,y. C. Explain the physical outcome of the results obtained in b.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...

See similar textbooks

Similar questions

Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen, air, and saturated steam at a temperature of 100C. Let D=1m,U=1m/sec, and hc=1W/m2K.
plz go through the image given , Note: Its related with subject of Mechanics of solid 1
DYNAMICS-RB
Subject:Dynamics of Rigid Bodies Topic: "Conservation of Linear Momentum, Resultant Impulse Equationand Impulse Momentum Equation" Kindly answer the activity with FBD and complete solution, thankyou.
" CENTROIDS OF VOLUMES " Please refer to the answer key (book from Engineering Mechanics by SInger) Please include the analyzation of figure so that i could undestand the steps and solution. Thankyou!
Four masses A, B, C and D as shown below are to be completely balanced. Find the followings: v The axial distance between the planes of rotation of B and C(mm) v The magnitude and angular position of mass of Mp{Kg) v The angle between mass A and D (LAOD-7degree) A B. D 80 Mp Mass (kg) Radius 125 150 100 (mem) 50 60 200 120 A B 115mm
I will rate you with “LIKE/UPVOTE," if it is COMPLETE STEP-BY-STEP SOLUTION. If it is INCOMPLETE SOLUTION and there are SHORTCUTS OF SOLUTION, I will rate you with “DISLIKE/DOWNVOTE.” Topics we discussed: Statics of Rigid Bodies, Force System of a Force, Moment of a Force, Moment of a Force-Scalar Formulation, Moment of a Force-Vector Formulation, and Principle of Moment, Simplification of a Force System and Couple System, Reduction of Simple Distributed Load
During a bicep curl on a bicep curl machine, I'm curling a weight stack of 100 pounds (single arm...I'm jacked like that). At this very moment, the weight stack has a moment arm of 0.12m, my elbow has an angle of 63deg, my muscle force vector has an angle of 23deg, and it attaches 3cm below my elbow joint on my radius. How much force must my bicep create right at this moment to hold the weight stack in place?
In a nutshell, a smaller rock is propelled into the air as a huge counterweight in the back falls down, effectively converting gravitational potential energy into kinetic energy for the rock and the weight. But, since the rock is smaller.. it is propelled at a much faster velocity! Let's say we wanted to hurl a 50 kg boulder at a castle wall 100 meters away. Our wooden structure for the trebuchet is 10 meters tall, so that is the maximum distance the counterweight can fall. Assuming the launch angle is a perfect 45 degrees, and the boulder is released from ground level, derive the needed mass of the counterweight that will give the boulder enough kinetic energy to reach the base of the castle walls. You may assume no energy is "lost" due to friction, and ALL the counterweight's gravitational potential energy is converted into the boulder's kinetic enerqy. (HINT: You will need to employ 2D kinematics to find the needed final velocity, then use that final velocity in an energy equation…
Here are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?
The topic of total derivation is mathematics
Let's say that the semiempirical binding energy formula is Eb= aA-bA^2/3 - s(N-Z)^2/A -dZ^2/A^1/3 where a,b,s,d are constants. Imagine that you are in a different universe where there are 3 types of nucleons with spin equal to 1/2 and electric charges equal to +1, -1 and 0. Mass similar to that of a proton. Forces are similar to those of our universe. i) How do equations change for A and Z as a function of N+, N-, No and what is the semiempirical equation for the binding energy as a function of A, Z, and No? ii) At what Z and No do we have the maximum and minimum binding energy for every A? iii) When do we have stable nuclei under beta (β) decay? If "alpha particle" in this situation has N+ = N- = No = 2, what does apply for alpha (α) decay? iv) What does apply for nuclear fission and finally, how would life be in this situation?