P=P sin aytCMSwwPROBLEM 19.147A machine element is supported by springs and is connected to a dashpot asshown. Show that if a periodic force of magnitude P=P sin w,t is applied to theelement, the amplitude of the fluctuating force transmitted to the foundation is1+ [²( * )(*) ³²√_@T+PETFm=Pm

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Answered: P= P_ sin ayt MWS C ww PROBLEM 19.147 A…

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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Figures (1) and (2) show how springs can be used to support a block in two different situations. In Fig. (1), they help decrease the amplitude of the fluctuating force transmitted by the block to the foundation. In Fig. (2), they help decrease the amplitude of the fluctuating displacement transmitted by the foundation to the block. The ratio of the transmitted force to the impressed force or the ratio of the transmitted displacement to the impressed displacement is called the transmissibility. Derive an equation for the transmissibility for each situation. Give your answer in terms of the ratio wf/wn of the frequency wf of the impressed force or impressed displacement to the natural frequency wn of the spring-mass system. Show that in order to cause any reduction in transmissibility, the ratio wf/wn must be greater than V2
A 4-kg collar can slide on a frictionless horizontal rod and is attached to a spring with a constant of 450 N/m. It is acted upon by a periodic force with a magnitude of P=P m sin wft, where Pm= 13 N. Determine the amplitude of the motion of the collar if (a) wf = 5 rad/s, (b) = 10 rad/s.
Q5) The motor-pump system shown in Fig. 3 is modeled as a rigid bar of mass m = 50 kg, and mass moment of inertia J, 100 kg-m². The foundation of the system can be replaced by two springs of stiffness &1 = 500 N/m and k2= 200 N/m and Determine the natural frequencies of the system. (1) C.G. m. Jo Motor Pump 1 Base Foundation *(0) 00000 C.G. (b) 15 00000 xx(1)
A mass of m = 12 kg is suspended by a spring of stiffness of S = 1 KN/m from a fixedsupport. The mass vibrates freely with amplitude of 0.008 m. Ignore the effect of dampingand mass of the spring. Calculatei. The maximum restoring force.ii. The natural frequency.
(Please solve by hand and explain procedure)
A motor rotates at 750 rev/min and has a moment of inertia of 0.15 kgm2. It drives a load through a gearbox at 250 rev/min with a moment of inertia of 0.25 kgm2. The torque on the load shaft varies sinusoidally with an amplitude of 180 Nm. The speed of the load is to be regulated to ± 4% of the mean by adding a flywheel to the motor shaft. Calculate this moment of inertia to be added and the mass of the flywheel that is a plain disc of radius of 400 mm.
2) A massless bar of length L carrying a tip mass m is rigidly connected to a homogenous disk of radius R and mass m as shown below. The disk rolls without slipping on the ground. Note that gravity acts down and that a spring of stiffness k and a dashpot of constant c connect the center of the disk to an oscillating wall and a fixed one respectively. Determine the amplitude of response of the angle 0(t).
A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is A = 0.01 m and the mass of the block is m= 400 g then the angular frequency w is equal to O 20 rad/s 2.5 rad/s O 10 rad/s O 1.25 rad/s O 5 rad/s A mass-sr
Solve

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