Develop a mathematical model for the tractor and plow shown in Fig. 3 by considering the mass, elasticity, and damping of the tires, shock absorbers, and plows (blades). Shock absorber - Plow Figure 3. A tractor and plow.

Please Take Care. Provide Handwritten Solution.

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

1) Calculations for the red dog food can rolling down the slope in the Rube Goldberg design are as follows (we will name it Step 1): Step 1 (calculations are given): Coefficient of friction → μ = 0.14 Mass of the object-m-368 gm = 0.368kg Initial height of the object (red can on top of books) → h=8.89, cm = 0.0889 m Slope of the file folder → 9 = 14° Travelling Distance by the object = 11.5 inch = 0.292 m And length that the object will travel=h/sin 0 = 0.0889/ sin14° = 0.367 m So, the radius of the object →R=0.367 -0.292 = 0.075 m Initial Velocity of red can → u=0 Velocity and Force Calculations for Step 1: -From total mechanical energy conservation: → Initial mechanical energy = final mechanical energy → mg - In case of pure rolling, the velocity of the center of mass: →V=Ro= 0.075 x 14.28 = 1.07 m/s. -Hence the change in force acting on the object for the travel: →F=mgsin0 = 0.368 × 9.81 × sin14° =0.89 N Step 2: The Selective Step (Step 2) in this design and for the questions below…

Drop-load (I)This exercise is part of a series of problems aimed at modelling a situation by progressively refining our model to consider more and more parameters. This progressive approach is very close to what professional scientists do! Context We want to lower a suspended load in a controlled way so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on a horizontal surface. Information The masses of the charges A and B are known.The pulley is a ring of mass mp and radius R that can rotate without friction.The surface on which mass A is placed is horizontal.There is no friction between mass A and the surface on which it is placed.The string attached to mass A is perfectly parallel to the surface on which the mass rests. SchematizationDraw a diagram of each object that interests us. Draw x- and y-axes for each object. Draw and name each force…

(2) A 30° MK = 0.45 Мк G B MA= 1 = 2 ку .8 kg - In the above arrangement of two blocks and card, the blocks start Use PWE to at rest, and the pulleys are frictionless. Find VA (mag and direc) after may assume that the card tension You B has descended by 0.65 m. is constant. You will need to use NSL to relate N₁ to WA E=mAg), NA and you Should show all the steps of this preliminary step also.

Theory of machines

You are moving to a new place and to go faster, you are pushing with a force P, two boxes at the same time. Your homogenous box 1, on the top has dimensions I₁=1.5m, h₁= 1.6m and a mass of m₁=12kg Your homogenous box 2, on the top has dimensions 1₂=2.4m, h₂= 2.8m and a mass of m2=19kg The coefficient of static friction between the 2 boxes is $12 = 0.34. The coefficient of static friction between box 2 and the ground is SG2 =0.25. Analyze the 4 scenarios: • Box 1 tips on box 2. • Box 1 slides on box 2. . P • Boxes 1 & 2 tip together. • Boxes 1 & 2 slide together on the ground. ls + Gi + G₂ W₂ |h₂ T Find the minimum for P for all 4 scenarios (include FBD and equations of equilibrium for each scenario), and conclude which scenario will occur first and why. In the box below, enter the required force P to strat motion (either tipping or slipping) in N with one decimal.

4) Calculations for the red dog food can rolling down the slope in the Rube Goldberg design are as follows (we will name it Step 1): Step 1 (calculations are given): Coefficient of friction → μ = 0.14 Mass of the object → m = 368 gm = 0.368kg Initial height of the object (red can on top of books) → h=8.89, cm = 0.0889 m Slope of the file folder → 0 = 14° Travelling Distance by the object = 11.5 inch = 0.292 m And length that the object will travel = h/sin 0 = 0.0889/ sin14° = 0.367 m So, the radius of the object → R=0.367 -0.292 = 0.075 m Initial Velocity of red can → u = 0 Velocity and Force Calculations for Step 1: -From total mechanical energy conservation: → Initial mechanical energy = final mechanical energy → mg - In case of pure rolling, the velocity of the center of mass: → V = Ro = 0.075 × 14.28 1.07 m/s. -Hence the change in force acting on the object for the travel: →F=mgsine = 0.368 × 9.81 × sin14° =0.89 N Step 2: The Selective Step (Step 2) in this design and for the…