A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest

Question:

A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 6 inches below the equilibrium position.

(a) Find the position of the mass at the times t = π/12, π/8, π/6, π/4, and 9π/32 s.

(b) What is the velocity of the mass when t = 3π 16 s?

In which direction is the mass heading at this instant?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

See More Books

Question Posted: Sep 30, 2020 06:34 AM

See More Questions

Under some circumstances when two parallel springs, with constants k 1 and k 2 , support a single mass, the effective spring constant of the system is given by k = 4k 1 k 2 /(k 1 + k 2 ). A mass...
Amass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point 8 inches above the equilibrium position with a downward velocity of 5 ft /s. (a) Find the equation...
A mass weighing 32 pounds stretches a spring 6 inches. The mass moves through a medium offering a damping force that is numerically equal to b times the instantaneous velocity. Determine the values...
How are financial statements adjusted for exchange rates?
Mitchell bought 600 shares of Centerco two years ago for $34.50 per share. He sold them yesterday for $38.64 per share. a. What was the percent increase in the price per share? b. What was the total...
Describe a situation in which you acquired an attitude toward a new product through exposure to an advertisement for that product. Describe a situation where you formed an attitude toward a product...
A set of nonredundant (1oo1) safety equipment, with all component devices certified as having systematic capability SC 3, is used in a low-demand application. The longest DTI of the equipment set is...
M. M. Sprout, a catalog mail order retailer, has one customer service representative (CSR) to take orders at an 800 telephone number. If the CSR is busy, the next caller is put on hold. For...
A 5.0 g bullet moving 325 m/s is shot into a 1.25 kg block, which slides for 1.35 seconds across the surface it is on before coming to rest. What is the average force of kinetic friction between the...
A civil engineer involved in construction requires 4800, 5800, and 5700 m3 of sand, fine gravel, and coarse gravel, respectively, for a building project. There are three pits from which these...
Determine the equation of motion if the mass in Problem 3 is initially released from the equilibrium position with a downward velocity of 2 ft /s. Problem 3 A mass weighing 24 pounds, attached to the...
A force of 400 newtons stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10...
Company P issues its shares in exchange for the shares of Company S. After the exchange, who owns the newly issued shares of P?
You are given the demand and forecast history for a pillow sold at a department store. According to this, what is the 3-period weighted moving average forecast for Week 9 with weights 1,3,4? (Use the...
The flow of manufacturing costs through the ledger of Able Mfg . Co . during April is summarized in the following T accounts. Certain amounts have been omitted and are represented by question marks....
You have been asked to value the assets of a privately-held company. You used the Capital Asset Pricing Model to estimate the equity betas for every firm in the industry and then computed the average...
Cardinal Company is considering a five-year project that would require a $2,975,000 investment in equipment with a useful life of five years and no salvage value. The company's discount rate is 14%....
1. A train traveling at a constant speed of 26.8 m/s rounds a curve of radius 255 m. A chandelier suspended from the ceiling swings out an angle 0 from the vertical throughout the turn. a. Draw the...
UK trader Nick Leeson worked for Baring Securities (Singapore) Limited (BSS) as the general manager and head trader. Due to his experience in operations, he also acted as head of the "back office"...
(a) What is the focal length of a magnifying glass that gives an angular magnification of 8.0 when the image is at infinity? (b) How far must the object be from the lens?
List the criteria for choosing a development tool.
What are the major roles of the explanation subsystem?
Name two applications of ES in homeland security and describe their benefits.
a. Suppose the spherical shell is made of material with a constant conductivity = 3.3 x 104 (22.m). Find the value of the resistance. R = abc a sin(x) x10 Submit Reset All Reset Divide the resistor...
2. (10 points) The diagram below shows a region of space that has a uniform electric field in the +x direction, as shown by the arrows. The magnitude of the E-field is +30N/C everywhere. The value of...
1*. Consider the following vector fields: = 2xyzj + xyk = y + x + f (z)k where f(2) is an arbitrary function of z E = osin 0 + cos 00 + Determine which ones could be electrostatic fields and...

A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest

Question:

Step by Step Answer:

a The position will be ...View the full answer

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions