A mass, m of 22 kg consider one vertical motion only with angular displacement, 0wt, with spring coefficient, k of 13 kN/m as shown in Figure Ql. If the systemocillates at free motion y = Y sin(@nt) with amplitude, Y of 19. mm:aAnalyze the acceleration of the mass, ÿ at position A.bExamine the time taken at position A. AyYY - 4B9 =otFigure Q1

Answered: Image /qna-images/answer/d7be2b6e-0f8a-44e9-997f-4d9fbd6f07e6.jpg

A mass, m of 22 kg consider one vertical motion only with angular displacement, 0 = wt, with spring coefficient, k of 13 kN/m as shown in Figure Ql. If the system oscillates at free motion y = Y sin(@nt) with amplitude, Y of 19. mm: a Analyze the acceleration of the mass, ÿ at position A. b Examine the time taken at position A.

A mass, m of 22 kg consider one vertical motion only with angular displacement, 0 = wt, with spring coefficient, k of 13 kN/m as shown in Figure Ql. If the system oscillates at free motion y = Y sin(@nt) with amplitude, Y of 19. mm: a Analyze the acceleration of the mass, ÿ at position A. b Examine the time taken at position 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

See similar textbooks

Similar questions

Two identical thin bars, each of mass m and length L, are welded together at a right angle as shown in figure 1. This T-shaped assembly is pinned to ground at point 0. Block B is given a prescribed forced displacement xg = b sin øt. Friction and damping are neglected. a) Derive the equation of motion for the system in terms of the angular position of the bars, 6, and parameters m, L, k, and g; b) Derive an expression for the natural frequency of the system; c) Derive an expression for the forced angular response of the system; L/2 L/2 L Хв
For the mechanical system shown, a- Find the equivalent mass, equivalent spring stiffness and equivalent damping coefficient when x (the displacement of the 2 kg block) is used as the generalized coordinate. b- Derive the equation of motion of the system in terms of equivalent system parameters (equivalent mass, equivalent spring stiffness and equivalent damping coefficient). 3000 N/m 2 kg 200 N.s/m /=0.04 kg-m² r = 10 cm 1000 N/m 1 kg I' 400 N.s/m ial
Q4-6 please
A 2 DOF mass-spring system shown below with n = 1, k = 8, and m initial conditions 2₁ (0) = 1, 2₂(0) = 0, ₁ (0) = 0, and ₂(0) = 1. (a) Find the natural frequencies and normalized modal matrix [X] for the system. T x₁ (1) (b) Using modal analysis and the Cartesian solution form, find the free vibration re- sponse of the system x₁(t) and x2(t). Ţ x2₂ (1) www. 00000 = m m₁ = 00000 k₁ = k 00000 k₂ = nk m₂ = m k3= k = 2 DOF mass-spring system. 2 with the
t. Design the following application case The mechanical vibration system is shown in Figure (a). When a step input with 3N amplitude is subjected to this system, the movement rule of the mass m is shown in Figure (b). Evaluate the values of mass m, damping constant c and spring constant k. m (a) F-3N XX 1.0 x(1)(cm) 0 2 (b) M,-0.095 Ⓒ
S=2 U=0 T=0
3
Prob. 2: An undamped system vibrates with a frequency of 20 Hz and amplitude of 1 mm. Calculate the maximum amplitude of the system's velocity and acceleration.
Q3/ A mass has (1 kg) connected to spring has a stiffens (16 N/m) move in simple harmonic motion with (20 cm) amplitude. Find: a) max Velocity and max Acceleration. b) The Velocity and Acceleration at distance (12 cm) from equilibrium position c) The time required to move the body from (X= 16 cm).
Suppose a mass-spring system has spring constant 712 N/m and mass 4.4 kg. The mass is displaced in the negative x-direction by 0.22 m and set in motion at 2.55 m/s in the positive x-direction. Calculate the phase shift as a positive angle in radians, assuming a cosine solution.
A damping machine with vibratory system is to be designed with following parameters . K= 100N/m, C=2 N-sec/m, M=1kg Find (i) Decrease of amplitude from its starting value after complete oscillations (ii) The frequency of oscillation
A mass, m of 20 kg consider one vertical motion only with angular displacement, 0 = wt, with spring coefficient, k of 13 kN/m as shown in Figure Q1. If the system oscillates at free motion y = Y sin(@nt) with amplitude, Y of 13 mm: (a) (i) Determine the natural frequency of the system, o,. (ii) Solve the time taken to complete one cycle of motion. (iii) Analyze the velocity of the mass, ý at position A.