Consider a dynamic system that consists of a block, a pulley, a spring, and a damper shown inFigure 1. The moment of inertia of the pulley around its rotation center is 6mr² and the massof the block is m. The left end of the damper is moving horizontally with the displacementy = Y sin wt.Find the amplitude of the steady state motion of the block.y=Ysin wtkmFigure 1:

Given: The mass moment of inertia of the pulley is 6 mr2. The system is shown below:

Consider a dynamic system that consists of a block, a pulley, a spring, and a damper shown in Figure 1. The moment of inertia of the pulley around its rotation center is 6mr2 and the mass of the block is m. The left end of the damper is moving horizontally with the displacement Y = Y sin wt. Find the amplitude of the steady state motion of the block.

Consider a dynamic system that consists of a block, a pulley, a spring, and a damper shown in Figure 1. The moment of inertia of the pulley around its rotation center is 6mr2 and the mass of the block is m. The left end of the damper is moving horizontally with the displacement Y = Y sin wt. Find the amplitude of the steady state motion of the block.

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

See similar textbooks

Similar questions

! help asap plzzz
The equation of motion of a certain mass-spring-damper system is 5x'' + cx' +10x = f(t). Suppose that f(t) = Fsin(wt). Define the magnitude ratio as M = X/F. Determine the natural frequency w_n, the peak frequency w_p, and the peak magnitude ratio M_p for damping ratio = 0.1 and the damping ratio = 0.3
#4 vibrations, will upvote anyone who will answer. Thanks
An object of mass 2 kg is attached to a spring of stiffness 200 N / m on a horizontal frictionless surface . Then it is extend by 10 cm and then let free to oscillate . 1- How long will it take to make one complete oscillation ? 2- Determine the amplitude and give an expression for the displacement as a function of time . 3- Calculate its displacement , velocity , acceleration and force acting on it after sec . 4- Calculate its velocity by the time it is extended by 0.5 cm
Consider the damped mass-spring system for mass of 1.5 kg, spring constant 10 N/m, damping 3 kg/s and an oscillating force 4.7 cos(@t) Newtons. That is, 1.5x" + 3x' + 10x = 4.7 cos(@t). What positive angular frequency o leads to maximum practical resonance? W = help (numbers) What is the maximum displacement of the mass in the steady state solution when the we are at practical resonance: C(@) = help
!
Given an oscillator of mass 2.0kg and spring constant of 180N/m, what is the period without damping? Use numerical methods to model this oscillator with an additional friction force equal to where c is a positive damping constant. Using c=5.0, what is the new period of oscillation. What about for c=10? Assume initial position is 0.2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.
3. A helical spring with a mass of 6kg has a mass of 10kg attached to its free end. The : released. If the mass is now pulled down 40mm from the equilibrium position and spring stiffness is 532N/m find the frequency of oscillation.
is my answer entered correct ?
b) k₁ b y(t) m k₂ x(t) Y(s) For the system in the figure shown above, x(t) and y(t) are displacements, k, and k2 are spring constants and b is a damping coefficient. Derive the transfer function · X(s)
Nilo
Find the response of a damped spring-mass system when a force F(t), as shown in Figure, acts on the mass m. Assume k = 2500 N/m, c= 10 N-s/m, m = 0.25 kg, T= 2 sec and consider first three harmonics. F(1) +1 2r Time t Figure