A mass weighing 4 pounds is attached to a spring whose constant is 2 b/t. The medium offers a intially released from a point 1 foot above the equlibrium position with a downward velocity of 12 R/s. Determine the time (in s) at which the mass passes through the equitibrium postion. (Use g-32 /s for the acceleration due to gravity.) Find the time (in s) aher the mass passes through the equilibrium position at which the mass attains its extreme displacement from the equlibrium position. What is the position (n n) of the mass at this instant?

A mass weighing 4 pounds is attached to a spring whose constant is 2 b/t. The medium offers a intially released from a point 1 foot above the equlibrium position with a downward velocity of 12 R/s. Determine the time (in s) at which the mass passes through the equitibrium postion. (Use g-32 /s for the acceleration due to gravity.) Find the time (in s) aher the mass passes through the equilibrium position at which the mass attains its extreme displacement from the equlibrium position. What is the position (n n) of the mass at this instant?

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 mass weighing 8 lbs. stretches a spring 24 inches. Assuming that a damping force numerically equally to 2 times the instantaneous velocity acts on the system, determine the position of the mass when it is initially released from equilibrium position with an upward velocity of 3 ft./s. after 1/4 secs.
5. After a mass weighing 10 pounds is attached to a 5-foot spring,the spring measures 7 feet.This mass is removed and replaced with another mass that weighs 8pounds. The entire system isplaced in a medium that offers a damping force that is numerically equal to the instantaneousvelocity.a. Find the equation of motion if the mass is initially released from a point 1/2 foot belowthe equilibrium position with a downward velocity of 1 ft/s.b. Express the equation of motion in the form x(t) = Ae sin[( )t ]
A 50 kg dough machine is mounted on an elastic support and opera to a speed of 1000 rpm. It has an unbalanced mass of 2 kg at an eccentric distance of 0.1 meter. If the damping factor ℶ = 0.2, determine: a) the constant of the support spring (without damping) which only transmits only up to 28% of the unbalanced force to the foundation, b) the resonant frequency in rpm, and c) the magnitude of the force transmitted with the complete suspension d) Illustrate using graphics
A car of mass 1300kg is constructed using a frame supported by four springs and a dash-pot with a damping 5% of critical. Each spring has a force constant 20 000N/m. If the combined mass of four people in a car is 350kg, determine the period of execution of two complete vibrations in seconds. And then calculate the vertical acceleration experienced by the occupants at t=0.5s, given the initial displacement and velocity are 0 mm and 1 m/s respectively.
A body weighing 25 lb is suspended from a spring of constant k = 160lb/ft. At time t = 0, it has a downward velocity of 2ft/sec as it passes through the position of static equilibrium. Determine (a) the system period and (b) the maximum acceleration attained by the mass.
An 8-lb weight stretches a spring 4 ft. The spring–mass systemresides in a medium oering a resistance to the motion equal to1.5 times the instantaneous velocity. If the weight is released ata position 2 ft above its equilibrium position with a downwardvelocity of 3 ft > sec, find its position relative to the equilibriumposition 2 sec later.
A spring has a spring constant of k=18N/m, hung with a weight of mass m=½ kg. If the load is in an equilibrium position, then it is pulled and released with a speed of 3 m/s, then determine the equation of motion of the object if it does not experience friction or damping.
A 2kg mass is attached to a horizontal spring whose recuperative constant is k = 10 N / m. Separating the mass from the equilibrium position, the system begins to oscillate, if the amplitude is 5 cm. Determine: Your velocity and acceleration at 3.6 seconds
A mass weighing 8 pounds is attached to a spring whose constant is 4 lb/ft. The medium offers a damping force that is numerically equal to the two times instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. (a) Specify the 2nd order DE as an IVP for the mass spring system.
An 8-kgkg block is suspended from a spring having a stiffness k=80N/mk=80N/m. If the block is given an upward velocity of 0.4 mm // ss when it is 90 mmmm above its equilibrium position, determine the equation which describes the motion of the block measured from the equilibrium position. Assume that positive displacement is measured downward. Determine the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward.
A 64-lb weight suspended from a spring (spring constant is 200 lb/ft) is released from rest 0.4 ft below the equilibrium position. If there is a resistance (lb) numerically equal to 0.04 times the velocity at any instant, determine the time for the damping factor to decrease 50% of its initial value g=32 ft/sec square
The equivalent mass of a SDOF of 10 kg. The system has a natural frequency of 80 rad/s. The system is at rest in equilibrium when it is subject to a time dependent force. Determine and plot the response of the system if it is subject to a force of (a) 10 sin(40t)N, (b) 10 sin(80t) N, and (c) 10 sin(82t) N.