Problem 4.8 A system of two masses and three springs is illustrated in Figure 4.10. Write the Lagrangian. Determine the generalized momenta for this sys- tem. (Hint: Measure the positions of the masses from their equilibrium points.) k2 k3 |M1 M, Figure 4.10: Problem 4.6.
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- Disclaimer: if this problem is chosen for the mini-exam, the given function may be different, but will be chosen from the exponential, trigonometric, or polynomial families. * There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is m1 and the mass of particle 2 is m2. The particles are isolated so that only the forces between the particles are significant. The force that 2 exerts on 1 is given by: 2. F1(t) = Fo e î + sin where F, and t, are both constants. The particles interact with one another from t = 0 until t = t1. a. What is the physical meaning of F,? b. Find the impulse from particle 1 on particle 2 over this time interval. c. Find the impulse from particle 2 on particle 1 over this time interval. d. Find the change in momentum of particle 1 over this time interval. e. Find the change in momentum of particle 2 over this time interval. f. Find the change in momentum of the system that consists of particle 1 and particle 2 over this time…I need help on this?Please help! I will thumbs up.
- Part A The two spheres A and B each have a mass of 400 g. The spheres are fixed to the horizontal rods as shown in (Figure 1) and their initial velocity is 2 m/s. The mass of the supporting frame is negligible and it is free to rotate. Neglect the size of the spheres. If a couple moment of M = 0.9 N m is applied to the frame, determine the speed of the spheres in 3 s. Express your answer to three significant figures and include the appropriate units. Figure M -0.3 m -0.3 m- B 1 of 1 HÅ ? v= Value Units Submit Request Answer < Return to Assignment Provide FeedbackIn the following, you will solve two variations of this problem. In both variations, we will assume that the ant is walking on a paper that rests on a table, and then suddenly the sheet of paper starts moving. Make sure to model your work based upon what is provided here. Namely, make sure that you include a description of your coordinate system, that you represent any velocity vectors in terms of components, and that any velocity vectors. you relate (a) In the first variation, we want to find the velocity vector for the ant relative to the paper that would result in the ant traveling due east at 2 miles per hour relative to the table. The paper is still going to move due southeast at v2 mi/hr.7.2 please answer part d, previous parts are answered. In order to answer part d, you need to use the expression from part c.
- None4.2.1 The velocity components of u and v of a two-dimensional flow are given by u = ax + bx x²y² by and v=ay+ .2.2 where a and b are constants. Calculate the acceleration.Consider the system below with physical parameters M = 1.3, K1 = 7, K2 = 3, g = 9.81 a) Develop the dynamic equations using the Lagrangian approach b) Explain which are the potential forces of this system