Determine the degrees of freedom

Q: 7.2. Derive the equations of motion for the three-degree-of-freedom system shown in Fig. 7.20 by…

A: To derive: The equation of motion for three degree of freedom system by means of newton's second…

Q: A 30-kg block is suspended from a spring with a stiffness of 300 N/m and attached to a dashpot of…

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Q: A thick metal wire (consider it to be a string) on a particular piano is 2.0 m long and has a…

A: The given data :

Q: 3.39 One end of the mercury filled U-tube manometer of Figure P3.39 is open to the atmosphere while…

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Q: 3.10. If the shafts shown in Fig. P3.4 have modulus of rigidity G1 and G2, derive the differential…

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Q: 3.20. A uniform slender rod of mass m and length / is hinged at point O. The rod is attached to two…

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Q: 1. Consider a loaded mine cart weighing 3000 lb with 1500 lb of high-grade ore from an underground…

A: Given DataWT=3000+1500θ=50°r=0.05 inG=30×105psi

Q: m. 2.0okg = 2.0

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Q: ol Find the response of the rigid bar shown in Fig. 3, for the following data, k, = k2 = %3D 5000…

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Q: 7. Consider two harmonic motions U(t) = 12 sin (2t + 1.0472) and u1(t) = 6 sin (2t + 0.5236),…

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Q: The subject is vibrati

A: F= movm = M -mot , 0≤ t ≤ t0k = 7.5 × 106 N/mc = 0.2 × 106 N -s/mm0 = 15 kg/sv = 2000 m/sM =…

Q: 1. Please select the effects of vibration * Human discomfort Increase strain rate Structure buckling…

A: Vibration: Any unwanted to-and-fro motion of  the body about its equilibrium position is known as…

Q: 38–4.42 Determine the amplitude of steady-state vibration for the systems shown in Figures P4.38…

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Q: 3. Find the equivalent stiffness as shown below. Draw the free body diagram. x10 Nm sx10' N 45 10 Nm

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Q: 1 Forced vibration of SDOF system 1.1.2 Response characteristics Example 4.1 A dynamic model is…

A: Given: The mass, m = 5 kg The damping coefficient, c = 20 Ns/m The spring constant, k = 2000 N/m…

Q: Question 1 If the tension in the cable is F, determine the magnitude of the moment produced by this…

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Q: Mechanical Vibrations

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Q: 3. A 60-gram mass vibrates in simple harmonic motion (SHM) at the end of a spring. The amplitude of…

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Q: When set on a rigid foundation and operating at 800 rpm, a 200-kg machine tool provides a harmonic…

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Q: A D.20 m long shaft with negligible Incrtia has a flywheel suspended from the end and a damper to…

A: Note:- According to the Bartleby guidelines, only three subparts are allowed to answer so please…

Q: The homogeneous beam has a mass of 3m and supported at point B. For small oscillations, determine…

A: Solution : The kinetic energy of the system is given as:…

Q: 1. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no…

A: Dear student,                     According to the guidelines I am allowed to answer only one…

Q: 2. When a 7.5 KN force is hung at the end of these 3 springs which are equidistant to each other and…

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Q: A time harmonic force f(t) = (6-j8) e^jot N produces a displacement of X(t) = (2+j5) e^jot Calculate…

A: Given data, Harmonic force, Ft=6-8jejωt Displacement, xt=2+5jejωt To determine, the ratio between…

Q: a) determine the equation of motion and natural frequency of the system by neglecting the mass of…

A: for solution refer below images.

Q: 0(+) 31 0 The homogeneous disc with a mass of 4m and radius of 3r is supported at point 0. For small…

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Q: 3. Given a 75 percent isolation, and a damping ratio of 8 percent, determine the maximum spring rate…

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Q: 3. The Department of Highways at Dale City put up a signage with a thickness of 4 inch at the corner…

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Q: A 0.75kg mass vibrates according to the equation X = 0.65cos(7.35t). Determine the amplitude,…

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Q: What is the stimulus applied on the material to measure it's mechanical property

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Q: QUESTIONS: 1. WHAT KIND OF ERRORS ARE THEY? 2. HOW TO AVOID THESE ERRORS IN MEASUREMENTS?

A: Graph -1: Hysteresis error Graph - 2: Linearity error Graph - 3: Sensitivity error Graph - 4: Zero…

Q: A 50-kg machine tool is mounted on an elastic foundation. An experiment is run to determine the…

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Q: A single degree of freedom system with viscous damper is shown in Figure 2. a) Determine the natural…

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Q: L/4 A 3k 2c massless, rigid plate 0btain the equation of motion.

A: It is asked to find the equation of motion for the following system

Q: The equations of motion of a two – degree – of – freedom system are given as follows. Determine the…

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