Consider the spring-mass system in an elevator that moves vertically. The natural length of the spring is as shown in the figure below, and at time t-0 the elevator starts moving with prescribed displacement y(t). Suppose that the relative displacement of the mass is x(t), i.e., its displacement with respect to the elevator. Assume mass m can only move vertically, the elevator is massless, and gravity is included. a. Derive the equation of motion of the mass using Newton's 2nd law. b. When is the mass in the elevator in a condition of effective "zero gravity"? k x(t)

Consider the spring-mass system in an elevator that moves vertically. The natural length of the spring is as shown in the figure below, and at time t-0 the elevator starts moving with prescribed displacement y(t). Suppose that the relative displacement of the mass is x(t), i.e., its displacement with respect to the elevator. Assume mass m can only move vertically, the elevator is massless, and gravity is included. a. Derive the equation of motion of the mass using Newton's 2nd law. b. When is the mass in the elevator in a condition of effective "zero gravity"? k x(t)

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

A simple single degree of freedom model of a wheel mounted of a spring as shown in figure below .the friction in the system is such that the wheel rolls without slipping. Calculate the natural frequency of oscillation using the energy method .Assume that no energy is lost during the contact x(t) k m,J The rotation of the wheel (of radius r) is given by 0(t) and the linear displacement is denoted by x(t). The wheel has mass ( m) and moment of inertia (J) ,and the spring has stiffness (k ).
Solve the the problem. -With Step by step solution
Find the set of initial conditions such that each mass oscillates: a) at the first natural frequency; b) at the second natural frequency;
Answer with neat solution please. Thank you.
Two equal masses m move without friction on a plate. They are connected to each other and to the wall as indicated in the figure. The spring constants are related as shown. Find the matrices {m} and {A} , then find the frequencies of small oscillation for the system, w, and w2. 4k m k m 2 X2
Thank you asap
Consider the system shown in the following figure, which is pivoted at point O. Suppose the system is moving in a horizontal plane. Assume that a0.4 m,b-1m M=2 kg the mass of the bar m 4 kg. k10 N/m, c 93 kg/s and F(t)= F6 (t) N where F = 3Ns Assume zero initial conditions and the moment of inertia of the bar about point O to be Determine the mnaximum tip response amplitude in mm. ww- Rigid bar M F() 6154 mm 13.90 mm 8.93 mm 83.37 mm 19.85 mm O00 00
Please don't provide handwritten solution .....
i need quickly please please please
Solve the problem 5 with resulting answer of V=18km/hr and X=50cm
k2 Tx m2 X2 k3 The mass spring system shown in Figure Q3 consists of two masses and three springs that are arranges as shown. Displacements and forces are considered in the horizontal direction. If m1 = 18 kg, m2 = 9 kg, k1 = 1350, k2 = 675 kN/m and k3 = 1575 kN/m determine: 3.1 the natural frequencies of the lateral vibration of the building; 3.2 the corresponding mode shapes. Www
9