Turn on thread page Beta
    • Thread Starter
    Offline

    11
    ReputationRep:
    A particle P moves on the x-axis with simple harmonic motion about the origin O as
    centre. When P is a distance 0.04 m from O, its speed is 0.2 m s–1 and the magnitude of
    its acceleration is 1 m s–2.
    (a) Find the period of the motion.

    The amplitude of the motion is a metres.
    Find
    (b) the value of a,

    (c) the total time, within one complete oscillation, for which the distance OP is greater than 1/2a metres.
    I dont understand what theyre exactly asking me to find here i.e the wording ? can anyone explain ..thanks.
    • Study Helper
    Offline

    15
    Study Helper
    (Original post by rbnphlp)
    (c) the total time, within one complete oscillation, for which the distance OP is greater than 1/2a metres.
    I dont understand what theyre exactly asking me to find here i.e the wording ? can anyone explain ..thanks.
    Consider one complete oscillation, say from -a through 0 to a, and then back through 0 and then to -a.

    Then they are asking for the length of time, withing that complete oscillation, that the particle is greater than 1/2a from the origin. I.e. how long is it between -a and -1/2a plus how long is it between 1/2a and a from the origin.

    Symmetry will reduce your calculations.

    Hope that made sense.
    • Thread Starter
    Offline

    11
    ReputationRep:
    (Original post by ghostwalker)
    Consider one complete oscillation, say from -a through 0 to a, and then back through 0 and then to -a.

    Then they are asking for the length of time, withing that complete oscillation, that the particle is greater than 1/2a from the origin. I.e. how long is it between -a and -1/2a plus how long is it between 1/2a and a from the origin.

    Symmetry will reduce your calculations.

    Hope that made sense.
    thankyou , makes sense
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 26, 2010

University open days

  1. University of Bradford
    University-wide Postgraduate
    Wed, 25 Jul '18
  2. University of Buckingham
    Psychology Taster Tutorial Undergraduate
    Wed, 25 Jul '18
  3. Bournemouth University
    Clearing Campus Visit Undergraduate
    Wed, 1 Aug '18
Poll
How are you feeling in the run-up to Results Day 2018?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.