PROBLEM1: Determine the equation of motion of the following systems: al*k www 0.51 & LIVUIVINA Mass Less, Rigid L a3 m

Pls see question in the attached image and solve the question by hand written notes and figure.

The figure shows a graph of force against distance for a locomotive pushing a carriage along a train track. x (m) Note: Please enter all your answers in this question to full precision. For the case where x:= 330 m x,= 750 m x, =1260 m and Fmax 31000 N, calculate the work done by the locomotive in megajoules for: (a) the part of the journey where the force is increasing (i.e. the first stage): MJ (b) the part of the journey where the force is constant (i.e. the second stage): MJ (c) the part of the journey where the force is decreasing (l.e. the third stage): MJ (d) Calculate the total work done by the locomotive: MJ

m2 Two masses connected by a massless string of length I slide without friction on two inclined planes as shown in the figure above. The motion is restricted to the x-y plane indicated in the figure. Gravity is acting in the negative y-direction. (a). Explain the term "virtual displacement". (b). State d'Alembert's principle of virtual work. (c). Write down d'Alemberts equation for this system in cartesian coordinates. Need detailed and step by step answer of all subparts with good handwriting Please I want to learn

Consider the mechanical system of this figure comprising two wheels of mass m, inertia j, andthree springs each of stiffness k. The wheels move on two fixed horizontal surfaces during thesystem's free vibrations. Derive the mathematical model of this mechanical system.

PROBLEM1: Determine the equation of motion of the following systems: 1080 al*k www 0.51 ghiv Vin & Masa Less, Rigid L J Figure 2-Problem 1-2 a3*m

An undamped spring/mass system, in which m = 8 slugs and the spring constant k = 16 lb/ft has a driving force f(t) = t^pi*t on [0,pi] Extend f(t) into the negative t-axis to obtain an odd function. Find the particular solution ??(?). (Note: f(t) is given as half of the period, p = π.)

Dont use Ai. Physics