22-73. The bar has a weight of 6 lb. If the stiffness of thespring is k = 8 lb/ft and the dashpot has a dampingcoefficient c = 60 Ib -s/ft, determine the differentialequation which describes the motion in terms of the angle eof the bar's rotation. Also, what should be the dampingcoefficient of the dashpot if the bar is to be criticallydamped?-2 ft-3 ftProb. 22-73

Given data To determine 1) The differential equation which describes the motion in terms of angle…

Answered: 22-73. The bar has a weight of 6 lb. If…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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1. A mass weighing 32 lb stretches a spring by 2 ft. The mass is released from rest at the equilibrium position, determine the equation of motion ?(?) if a force ?(?) = 32 ? acts on the system for 0 ≤ t < 7 and then is removed. Neglect any damping forces.
A bullet of mass m= 103.4 Grams has a velocity of v0= 62 m/s just before it strikes the target of mass M=4 Kilograms, If the bullet embeds in the target, and the vibration is to be critically damped, determine the dashpot’s critical damping coefficient. The stiffness of each spring is k= 1,326 N/m
The platform, supported by a pin at B and a spring at C, is in equilibriumin the position shown. When the viscous damper at A is disconnected, thefrequency of the system for small amplitudes is 2.22 Hz. Determine the damping coefficient c that would critically damp the system.
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Determine the equivalent spring stiffness of the system using the displacement of the block as the generalized coordinate E = 200 x 10" N/m2 I = 1.6 x 10°m* 6 x 10 N/m 3 m- 2 x 10° N/m m 3 x 10' N/m 5 x 10° N/m
22–70. The damping factor, c/c, may be determined experimentally by measuring the successive amplitudes of vibrating motion of a system. If two of these maximum displacements can be approximated by x1 and x2, as shown in Fig. In (x1/x2) = 27(c/c)/V1-(c/c)². The quantity In (x1/x2) is called the logarithmic decrement. 22-16, show that
A block having a weight of 8 lb is suspended from a spring having a stiffness k = 40 Ib/ft. If the block is pushed y = 0.4 ft upward from its equilibrium position and then released from rest. What is the amplitude of the vibration? Assume that positive displacement is downward
The equation of motion of a one – degree – of – freedom spring – mass – is given as; 6 * + 0.4c x + 3550 x = 0. If the mass of the system is displaced 150 mm and released without an initial velocity, determine the number of cycles executed before the amplitude of displacement is reduced to 10 mm when the damping coefficient is 300 - s/m. Also, determine the critical damping coefficient of the system. -damper system
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An electric motor and its base have a combined mass of M = 12 kg. Each of the four springs attached to the base has a stiffness k =480 kN/m and a viscous damping coefficient c. The unbalance of the motor is equivalent to a mass m =0.005 kg located at the distance e=90mm from the center of the shaft.When the motor is running at ω = 400 rad/s, its steady-state amplitude is 1.8 mm.Determine (a) the damping coefficient of each spring; and (b) the phase anglebetween the displacement of the motor and ωt.
A mass-spring system has m = 2.5 kg and k = 90 N/m. How long does it take for the mass to complete one period? - 6 s O NE S Os Os
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