A rigid body system shown in Figure 1 below. Use u(t) as the degree of freedom (DOF) of the system. The total mass of the rigid disk is m1 = m and the rigid bar AB m2 = 1.5m. The radius of the disk is L. The rigid bar and the disk are connected by an inextensible cable. Derive the dynamic governing equation of motion by using Lagrange’s Equation of motion.

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A: Here we will apply the damping coefficient comparison

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A: For system (a):For system (b):For system (c):

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A: Given data

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A:

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A: Step 1: Step 2: Step 3: Step 4:

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A:

Q: The figure shows a photo of a swing ride at an amusement park. The structure consists of a…

A: As per bartleby guidelines only first three subparts are answered.for other parts pls post them…

Q: Question 10: Figure 4 shows a mechanical system. Mass m is attached at the end of the rigid rod,…

A: Lets us consider the spring is at its free length,when, z= 0, and ,The modified functional diagram…

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A:

Q: 1. Consider the system shown in the Figure P1, where ky is torsional stiffness. Assume that the…

A:

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A:

Q: Figure Q3(b) shows a uniform bar AB of mass = 8 kg hinged at point C. Point A is connected to a…

A: Given data: The mass of the uniform bar AB is (m) =8 kg The stiffness of the spring is (K) = 500 N/m…

Q: 2. A coupled mass-spring system is shown below. The masses are m, = 25 kg and m = 45 kg. The spring…

A:

Q: 3) Consider this car, which can be modelled as a rigid bar with its centre of mass C.G. not…

A: Mass of car, m=1000 kgLengths,l1=1 ml2=1.5 mSpring constants,kf=kr=20 kN/m

Q: Derive the Lagrange's Equations of motion for the system shown in Fig. 1 using the displacement x as…

A: For solution refer below images.

Q: A mechanical dynamic system is having two degrees of freedom as shown in figure 2. The given…

A: Since we only answer up to three subparts, we will answer the first three. Please resubmit the…

Q: The values of a, C, and bare > and , respectively.

A:

Q: A simple single degree of freedom model of a wheel mounted of a spring as shown in figure below .the…

A: For solution refer below images.

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,