# Simple Harmonic Motion MCQ Question!

1. Sep 7, 2009

### therisingpower

1. The problem statement, all variables and given/known data

A simple pendulum was moving in front of a horizontal scale. the extreme positions of the bob were at the 300mm and 500mm marks. The bob moved from the 350mm to the 450mm marks in 1.0s. What is the period of the oscillations?
A. 2.0s
B. 3.0s
C. 4.0s
D. 6.0s

2. Relevant equations

x = x0 sin(wt + fai) , where "fai" is the phase difference.
fai/2pi = x/wavelength, x is the distance apart between 2 points out of phase.
T=2pi/w , where T is the period and w is the angular velocity.

3. The attempt at a solution

i tried solving by using x0=100,
taking 400 to be the equlibrium point, since it was middle of 300 and 500.
thus, amplitude is x0=100.
so by the formula x = x0 sin(wt + fai),
i still need to find fai and x.
so i used fai/2pi = x/wavelength.
and then i'm stuck.. ):

any help would be appreciated. thank you!

2. Sep 7, 2009

### kuruman

Your starting equation is OK, but the phase is an irrelevant complication here. If you clock starts when the pendulum is at the equilibrium position, the equation is simply

x(t) = A sin(ωt) with A = 100 m.

Note that 350 mm is -A/2 and 450 mm is +A/2. This should help.