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.

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Figure P3.40 illustrates a pendulum with a base that moves horizontally. Thisis a simple model of an overhead crane carrying a suspended load with cables.The load mass is m, the cable length is L, and the base acceleration is a(t).Assuming that the cable acts like a rigid rod, derive the equation of motion interms of ? with a(t) as the input.

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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…

Machine Dynamics: In the mechanism in the figure; The 2nd limb in the horizontal position rotates with a constant angular velocity of 100 rad/s under the effect of external torque T12.Obtain the equations of change of axial internal force, shear force and bending moment in limb 3 due to inertia and bond forces at the specified position, ignoring frictions.(O2 joint point is the center of gravity of limb 2) "Detailed Solution Please"

TORSIONAL SYSTEM Q-4 For the system in fig (4) find : rigid link k m 1. F.B.D 2. Equation of motion & wd. 3. 0(t),for < 1. 4. 8. Fig (2) B Shaft, k m Fluid, Disc, J lal Fig (4) Fig (3) www

Consider harmonic oscillator: a mass t suspended by a spring of spring constant k. Assaming no drag force acting upon the mass, write the differential equation of motion of the object and find its general solution

Drop-load (I)This exercise is part of a series of problems aimed at modeling a situation by progressively refining our model to take into account 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. To slow down the descent, we added a spring behind the mass (A).   Information The masses of the charges A and B are known.The mass of the rope itself is negligible (very small compared to the loads).The pulley has negligible mass and can rotate without friction.The charge ? is initially stationary and is at a known height h.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…