3.25 The coefficient of friction between the disk and thesurface in Figure P3.24 is u. What is the largest initialvelocity of the mass center that can be imparted such thatthe disk rolls without slip for its entire motion?Thin diskof mass m.no slipFIGURE P3.24Given: u, m, k, r

Answered: Image /qna-images/answer/e89f9ec3-3007-4ed4-ad98-2de3fc689f13.jpg

Answered: 3.25 The coefficient of friction…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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3.11 The motor in Figure P3.11 lifts the mass m, by winding up the cable with a force FA. The center of pulley B is fixed. The pulley inertias are I and Ic. Pulley C has a mass me. Derive the equation of motion in terms of the speed VA of point A on the cable with the force FA as the input. Figure P3.11 Figure P3.12 SA B Opom m₂ SC m₂ Hd X
Mechanical Vibration Problem
A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a flywheel in the form of a uniform solid cylinder rotating around its axis, with moment of inertia I = 1/2 mr2. 1) Consider a scenario in which the flywheel described in part (a) (r1 = 0.55 m, mass m1 = 16 kg, v = 45 m/s at the rim) is spinning freely at its maximum speed, when a second flywheel of radius r2 = 2.8 m and mass m2 = 11 kg is coaxially dropped from rest onto it and sticks to it, so that they then rotate together as a single body. Calculate the energy, in joules, that is now stored in the wheel. 2) Return now to the flywheel of part (a), with mass m1, radius r1, and speed v at its rim. Imagine the flywheel delivers one third of its stored kinetic energy to car, initially at rest, leaving it with a speed vcar. Enter an expression for the mass of the car, in terms of the quantities defined here.
Answer in short answer the theory
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A uniform, solid cylinder of mass mc=7.42 kg and radius R=.26 m with Icm=1/2MR^2 is attached at its axle to a string. The string is wrapped around a small ideal pulley and is attached to a hanging block of mass mb=2.73 kg as indicated in the figure above. You release the objects from rest and the cylinder rolls without slipping. What is the magnitude of the acceleration of the block?
Please help with all parts, Thank you in advance!
Instead of using the system shown in Figure 3.2.6a to raise the mass m2, an engineer proposes to use two simple machines, the pulley and the inclined plane, to reduce the weight required to lift m2. The proposed design is shown in Figure P3.12. The pulley inertias are negligible. The available horizontal space limits the angle of the inclined plane to no less than 30°. a. Suppose that the friction between the plane and the mass m2 is negligible. Determine the smallest value m1 can have to lift m2. Your answer should be a function of m2 and 0. m₂ m28 (b) T₁ m₁ mig
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P3.8 For the mechanism shown in Figure P3.8, deter- O mine the linear velocity of point D using instanta- neous centers. = 2.5 in; ro.A = 1.0 in =D1.5 in; fo,c = 1.0 in; fo,0. "o,0, TAB = 2.5 in; ro,B =1.5 in; ro.c = 2.0 in Tcp = 1.0 in; rcE = 1.5 in; ro.E 0, = 45°; 0, = 5.0 rad/sec CCW %3D %3D = 2.0 in %3D %3D 3 4. PA 2. 02 O, O 1 1 9. DE Figure P3.8
1. ooo 1 B₁ M₁ पती System coefficients: K₁ = 600 N/m K₂ = 400 N/m C₁ = 8 kg/s C₂ = 2 kg/s M = 50 kg K₂ 000 -fa(t) x2 M₂ B₂ Figure P2.1 Determine the free-body-diagram of the system above. Derive the equation of motion (EOM).
PART OF MECHANICAL VIBRATIONS SUBJECT USE VIRTUAL WORK The uniform bar shown in Fig. P3.6 has mass m, length l, and mass moment of inertia 1 about its mass center. The bar is supported by two springs kı and k2, as shown in the figure. Obtain the differential equation of motion and determine the natural frequency of the system in the case of small oscillations.

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3.25 The coefficient of friction between the disk and the surface in Figure P3.24 is u. What is the largest initial velocity of the mass center that can be imparted such that the disk rolls without slip for its entire motion? Thin disk of mass m. no slip Given: u, m, k, r FIGURE P3.24