Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 8: Q. 9 (page 549)

Rework Problem 5 under the same conditions except that, at time t = 0, the object is at its resting position and moving down.

Short Answer

Expert verified

The equation of the motion isd=-5sin(πt)

Step by step solution

01

Given information

We are givena=5,T=2seconds

02

Find the equation

As the object is moving down the amplitude of the object is a=5

Since at t=0 the object is at resting position and moving downward we will use -sinin the equation

The angular velocity can be given as

ω=2πTω=2π2ω=2

Hence the equation becomesd=-5sin(πt)

03

Conclusion

The equation of the motion becomesd=-5sin(πt)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Given two sides and the included angle, the first thing to do to solve the triangle is to use the Law of Sines .

The displacement d (in meters) of an object at time t (in seconds) is given d=5cos(π2t)

(a) Describe the motion of the object.

(b) What is the maximum displacement from its resting position?

(c) What is the time required for one oscillation?

(d) What is the frequency?

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

a=5.T=2seconds

Rescue at Sea Coast Guard Station Able is located 150 miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located N55°E; the call to Station Baker indicates that the ship is located S60°E.

(a) How far is each station from the ship?

(b) If a helicopter capable of flying 200 miles per hour is dispatched from the station nearest the ship, how long will it take to reach the ship?

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

a=10,T=3seconds
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free