You are Here: Home >< Maths

# M3 SHM question watch

1. 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.
2. (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.

3. (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.

thankyou , makes sense

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: January 26, 2010
Today on TSR

How do you think you'll do?

### University open days

Wed, 25 Jul '18
2. University of Buckingham
Wed, 25 Jul '18
3. Bournemouth University
Wed, 1 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams