Thursday
October 27, 2016

# Search: Physics: Simple Harmonic Motion

Number of results: 74,228

simple harmonic motion
a simple harmonic motion is represented by x=4sin[3t+3.14/4].find the angular frequency and amplitude and what is the velocity and acceleration at t=1 second.
August 15, 2016 by Anonymous

physics
Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 3.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the simple harmonic motion of a 62.0 kg diver on the board?
July 28, 2013 by Justin

Physics(Simple Harmonic motion and Elasticity)
A copper rod (length = 2.0 m, radius = 3.0 * 10^-3 m) hangs down from the ceiling. A 9.0-kg object is attached to the lower end of the rod. The rod acts as a “spring,” and the object oscillates vertically with a small amplitude. Ignoring the rod’s mass, find the frequency f...
April 8, 2013 by Elapid

simple harmonic motion
A 50-g mass is attached to a spring and undergoes simple harmonic motion. Its maximum acceleration is 15m/s2 and its maximum speed is 3.5m/s .
December 4, 2014 by little wayne

Physics
Directly below on the floor is a stationary 428-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 2.3 s. The difference between the maximum and minimum sound frequencies detected by the microphone is 2.2 Hz. Ignoring any ...
January 29, 2012 by Claire

Physics: Simple Harmonic Motion
A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle c.) total mechanical energy of the oscillator...
December 1, 2010 by Greg

simple harmonic motion
A 50-g mass is attached to a spring and undergoes simple harmonic motion. Its maximum acceleration is 15m/s2 and its maximum speed is 3.5m/s . Determine the angular frequency. Determine the spring constant. Determine the amplitude of the motion.
December 4, 2014 by little wayne

physics simple harmonic motion
A particle moving in simple harmonic motion passes through the equilibrium point (x=0) 8 times per second. At t=0 its velocity at x=0.015m is negative. It travels 0.6m in a complete cycle. The particle's position as a function of time is described by the following function: x(...
September 6, 2016 by byu

physics
A small ball is set in horizontal motion by rolling it with a speed of 3.00 m/s across a room 12.0m long, between two walls. Assume that the collisions made with each wall are perfectly elastic and that the motion is perpendicular to the two walls. (a)Show that the motion is ...
March 15, 2007 by sam

physics
A clown is rocking on a rocking chair in the dark. His glowing red nose moves back and forth a distance of 0.42m exactly 30 times a minute in a simple harmonic motion. (a) what is the amplitude of this motion? (b) what is the period of this motion? (c) what is the frequency of...
December 12, 2015 by Peter

PHYSICS HELP Harmonic Motion
A 32.0 kg block at rest on a horizontal frictionless table is connected to the wall via a spring with a spring constant k= 32.0 N/m. A 2.00E-2 kg bullet travelling with a speed of 5.500E+2 m/s embeds itself in the block. What is the amplitude of the resulting simple harmonic ...
May 9, 2016 by Sam

PHYsics !!
a) What do you understand by Simple Harmonic Motion? b) A simple harmonic motions is characterized by the equation x = (10 cm) sin (0.1t + ) where, x is in cm and t is in seconds Determine the i. amplitude and angular frequency. ii. linear frequency and period. iii. ...
August 27, 2013 by kent

Simple Harmonic Motion
have performed an experiment of simple harmonic motion and the values I got Mass(g) Distance (m) 200 0.438 250 0.398 300 0.345 350 0.312 400 0.297 450 0.281 500 0.259 I would like to know how to calculate the spring constant... since I have been having weird values, if ...
February 8, 2011 by Abi

physics
The length of a simple pendulum is 0.79m and the mass of the particle at the end of the cable is 0.24 kg. The pendulum is pulled away from its equilibrium position by an angle of 8.5 degrees and released from rest. Assume that friction can be neglected and that the resulting ...
December 12, 2010 by David

physics
A 0.125 kg mass is attached to a spring and undergoes simple harmonic motion with a pe- riod of 0.41 s. The total energy of the system is 2.5 J. Find the amplitude of the motion. Answer in units of m.
February 24, 2015 by Anonymous

physics
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x = 4.7 cos ( 4t + π/6 ) where x is in centimeters and t is in seconds. Find the period of the motion.
February 28, 2016 by juan

physics
A particle vibrates in Simple Harmonic Motion with amplitude. What will be its displacement in one time-period if you attach a mass to the spring from its initial equilibrium position, it vibrates forever in simple harmonic motion. Why doesn't it come to rest after stretching ...
February 26, 2011 by calous --- HELP PLEASEE!!!

Physics
An object has a mass of 0.5 kg. It undergoes a simple harmonic motion. The amplitude of that motion is 0.07 m and the period is 0.31 s. What is the total energy of the object?
December 1, 2009 by Sammy

physics
An object-–spring system undergoes simple harmonic motion. If the mass of the object is doubled, what will happen to the period of the motion?
April 11, 2014 by Paige

Physics
A spring stretches 4.3 cm when a 13 g object is hung from it. The object is replaced with a block of mass 22 g that oscillates in simple harmonic motion, calculate the period of motion.
December 5, 2010 by Lynette

Physics
A spring stretches 4.3 cm when a 13 g object is hung from it. The object is replaced with a block of mass 22 g that oscillates in simple harmonic motion, calculate the period of motion.
December 6, 2010 by Anonymous

Physics
A simple pendulum is 9.00 m long. (a) What is the period of simple harmonic motion for this pendulum if it is hanging in an elevator accelerating upward at 2.00 m/s2? I keep getting 6.7, but it's wrong
August 4, 2008 by Elisa

physics
A 5.7 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface. At time t = 0 s, the block has a displacement of -0.70 m, a velocity of -0.80 m/s, and an acceleration of +2.7 m/s2. The amplitude of the motion is closest to:
December 6, 2012 by quaviz

physics
A 0.20-kg object is attached to the end of an ideal horizontal spring that has a spring constant of 120 N/m. The simple harmonic motion that occurs has a maximum speed of 2.0 m/s. Determine the amplitude A of the motion.
January 25, 2014 by Kate

Physics
What is the application of simple harmonic motion to our daily lives?
September 3, 2014 by Haziq Suhaidi

Physics
show that the oscillation of a liquid in a u-tube is in simple harmonic motion.
November 12, 2014 by Ewuresi

trig
8. Write the equation for simple harmonic motion given that the amplitude is 5 centimeters and the frequency is 2/ ð cycles per second. Assume that the maximum displacement occurs when t = 0. a. y = 5sin4t b. y = 5cos2t c. y = 5cos4t d. y = 5sin2t 9. Write the equation for ...
August 6, 2010 by Claire

physics
A block is attached to a horizontal spring and set in simple harmonic motion, as shown in the figure. At what point in the motion is the speed of the block at its maximum? The position of the block when the spring is relaxed is marked by x = 0, and the extremes of the block\'s...
April 11, 2014 by Paige

Physics
A 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.250 s. If the total energy of the system is 2.00 J, find (a) The force constant of the spring and (b) The amplitude of the motion.
February 17, 2011 by Ray

A spider sits on its web, undergoing simple harmonic motion with amplitude A.What fraction of each cycle does the spider spend at positions with x>0.75A? Hint: Use the analog of uniform circular motion.
October 21, 2010 by Nikki

A spider sits on its web, undergoing simple harmonic motion with amplitude A.What fraction of each cycle does the spider spend at positions with x>0.75A? Hint: Use the analog of uniform circular motion.
October 21, 2010 by Nikki

phyics
An object in simple harmonic motion has an amplitude of 0.202 m and an oscillation period of 0.620 s. Determine the maximum speed of the motion
November 12, 2013 by Joey

Phyics
An object in simple harmonic motion has an amplitude of 0.202 m and an oscillation period of 0.620 s. Determine the maximum speed of the motion.
November 16, 2013 by Corey

Physics
A spring streches by 3.90 cm when a 10g mass is hung from it. If a 25g mass attached to this spring oscillates in simple harmonic motion, calculate the period of the motion?
August 7, 2015 by Godwin

Harmonic Oscillation
The velocity of a certain simple harmonic oscillator is given by: v=-(12m/s)sin [(6.0rad/s)t]. What is the amplitudeof the simple harmonic oscillator. Please show your work.
October 28, 2007 by ly1018

physics (Simple harmonic motion)
X(t)=0.142sin(2t+0.19) b) Find the travelled distance by block at t2=3.5min [37.963m].
September 3, 2016 by bling pls help

PHYSICS
An object is attached to an ideal spring. It undergoes a simple harmonic motion with a total energy of E = 2.2 J. The amplitude of the motion is 0.7 m and the maximum speed of the object is 0.5 m/s. Find the spring constant.
April 7, 2011 by Unknown

PHYSICS
A 0.181 kg mass is attached to a spring and executes simple harmonic motion with a pe-riod of 0.21 s. The total energy of the system is 1.2 J. Find the force constant of the spring. b) Find the amplitude of the motion.
November 20, 2010 by JACK

physics
A simple pendulum with a length of 1.50 m is suspended from the ceiling of a train. What is the period of simple harmonic motion for the pendulum if the train is moving up an incline of 15.0˚ with an acceleration of 3.00 m/s²? Don't know how to do, please help
August 6, 2008 by Elisa

Physics
An object with mass 3.7 is attached to a spring with spring stiffness constant 270 and is executing simple harmonic motion. When the object is 2.5×10−2 from its equilibrium position, it is moving with a speed of 0.45 . what is the amplitude of the motion?
August 30, 2012 by Lori

Physics
An object with mass 5.0 kg is attached to a spring with spring stiffness constant 192 N/m and is executing simple harmonic motion. When the object is 0.35 m from its equilibrium position, it is moving with a speed of 0.02 m/s. Calculate the amplitude of the motion.
March 5, 2013 by Anonymous

Physics
An object with mass 5.0 kg is attached to a spring with spring stiffness constant 192 N/m and is executing simple harmonic motion. When the object is 0.35 m from its equilibrium position, it is moving with a speed of 0.02 m/s. Calculate the amplitude of the motion.
March 6, 2013 by Anonymous

Physics Simple Harmonic Motion
The displacement of an object in SHM is given by y(t) = (7.0 cm)sin[(1.58 rad/s)t]. What is the frequency of the oscillations?
April 5, 2011 by John

Physics
The position of a body moving in simple harmonic motion is given by m t x ï£· ï£¸ ï£¶ ï£¬ ï£­ ï£« + = 4 9 cos 3 Ï€ . For this motion, what are the (a) amplitude, period, phase constant, frequency, and angular frequency? Determine the bodyâ€™s (b) maximum speed and maximum ...
December 18, 2011 by Dia

Physics
Simple Harmonic Motion With the equation x=Acos(2 pi f) t why and how does f affect x This is really urgent! Thanx for any help! frequency determines how rapidly x oscillates.
May 17, 2007 by Claire

Physics
A bouncing ball returns to the same height each time. Is this an example of simple harmonic motion? Explain your answer.
June 18, 2012 by Jamie

physics
An object with mass 2.0kg is attached to a spring with spring stiffness constant 240N/m and is executing simple harmonic motion. When the object is 2.2Ã—10âˆ’2m from its equilibrium position, it is moving with a speed of 0.65m/s . Calculate the amplitude of the motion.
November 27, 2013 by Dani

PHYSICS
Astronauts on a distant planet set up a simple pendulum of length 1.2 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 450 s. What is the magnitude of the acceleration due to gravity on this planet?
November 17, 2015 by Anonymous

PHYSICS
An object undergoes simple harmonic motion. During that motion the object needs 1.1 seconds to reach one point of zero velocity from the previous such point. If the distance between those points is 0.3 m, calculate the period.
April 7, 2011 by Unknown

physics
Q 2) A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from the mean position are the kinetic and potential energies equal ?
November 20, 2010 by Pronab

conceptual physics problem
A particle is oscillating in simple harmonic motion. The time required for the particle to travel through one complete cycle is equal to the period of the motion, no matter what the amplitude is. But how can this be, since larger amplitudes mean that the particle travels farther?
November 11, 2008 by Miss.Seena

physics help!
Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 155 N/m. The motion of the object on spring 1 has twice the amplitude as the motion of the object on spring 2. The magnitude of the...
November 19, 2011 by meagan

physics
the motion of a body is described in simple harmonic motion as x=Cos(wt).when the body is 0.2m from the mid of its path , velocity is 3m/s and when it is 0.8m from the center of its path, its velocity is 1m/s ,determine: 1.the period 2.greatest acceleration
November 20, 2014 by sule

Physics
A loudspeaker diaphragm is producing a sound for 2.0 s by moving back and forth in a simple harmonic motion. The angular frequency of the motion is 8.55 104 rad/s. How many times does the diaphragm move back and forth?
November 30, 2012 by Elizabeth

pysics
A spring stretches 3.4-cm when a 7-g object is hung from it. The object is replaced with a block of mass 24 g that oscillates in simple harmonic motion. Calculate the period of motion
January 6, 2011 by sarah

Physics Simple Harmonic Motion
A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam. Suppose the needle moves 8.4 mm from its highest to its lowest position and it makes 27 stitches in 8.5 s. What is the maximum needle speed?
April 5, 2011 by John

physics
A 215 g mass is attached to a spring and executes simple harmonic motion with a period of 0.250 s. If the total energy of the system is 2.30 J. (a) Find the force constant of the spring. 135.81 N/m (b) Find the amplitude of the motion. i just need help with what equation i ...
January 12, 2011 by julie

physics
A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f = 0.3 Hz. (a) What is the angular velocity of this system?
November 26, 2012 by Anonymous

physics
A simple harmonic oscillator executes motion whose amplitude is .20 m and it completes 60 oscillations in 2 minutes Calculate its time period and angular frequency
February 18, 2015 by Anonymous

physics
A tray is moved horizontally back and forth in simple harmonic motion at a frequency of f = 1.86 Hz. On this tray is an empty cup. Obtain the coefficient of static friction between the tray and the cup, given that the cup begins slipping when the amplitude of the motion is 5....
November 26, 2013 by Donna

physics
A particle that undergoes simple harmonic motion has a period of 0.4 s and an amplitude of 12 mm. The maximam velocity of the particle is?
February 16, 2012 by Abdela

phyics
A 0.20-kg object is attached to the end of an ideal horizontal spring that has a spring constant of 120 N/m. The simple harmonic motion that occurs has a maximum speed of 1.1 m/s. Determine the amplitude A of the motion.
November 12, 2013 by Joey

physics
A spring stretches 5.00 cm when a 10.00 g object is hung from it. The object is replaced with another object of mass 20.00 g that oscillates in simple harmonic motion. a) Calculate the spring constant in N/m. Use 9.8 m/s2 for g. b) Calculate the period of motion in seconds.
November 11, 2014 by Misaki

physics
A 0.38-kg mass attached to a spring undergoes simple harmonic motion with a period of 0.63 s. What is the force constant of the spring?
November 18, 2010 by aok

physics
A person bounces up and down on a trampoline, while always staying in contact with it. The motion is simple harmonic motion, and it takes 2.82 s to complete one cycle. The height of each bounce above the equilibrium position is 40.8 cm. Determine (a) the amplitude and (b) the ...
February 2, 2009 by Sarah

Physics HELP!
A 50-g mass is attached to a spring and undergoes simple harmonic motion. Its maximum acceleration is 15m/s2 and its maximum speed is 3.5m/s . Determine the angular frequency. Determine the spring constant. Determine the amplitude of the motion. how do I find these things?
December 9, 2014 by Jane

physics
The motion of a certain simple harmonic oscillator is described by: x(t) = (12 cm) sin [(1 s ^(-1)) t] What is the earliest time t > 0 or t = 0 at which the oscillator's velocity is zero?
November 1, 2010 by Ashleigh

Physics
A 0.45kgkg mass oscillates in simple harmonic motion on a spring with a spring constant of 160N/mN/m .What is the period of the oscillation?
May 4, 2014 by Spaceman

Physics
A 500 g block on a frictionless surface is attached to a rather limp spring of constant k = 8.7 N/m. A second block rests on the first, and the whole system executes simple harmonic motion with a period of 3.1 s. When the amplitude of the motion is increased to 60 cm, the ...
November 11, 2012 by Mike

Physics
A particle executes simple harmonic motion with an amplitude of 9.00 cm. At what positions does its speed equal two thirds of its maximum speed?
January 4, 2010 by Zoe

Physics
The pistons in an internal combustion engine undergo a motion that is approximately simple harmonic. If the amplitude of motion is 3.8cm , and the engine runs at 1500rpm , find the maximum acceleration of the pistons. Find their maximum speed.
December 1, 2010 by Phy help!

Physics
An object has a mass of 0.3 kg. It undergoes a simple harmonic motion. The amplitude of that motion is 0.09 m and the period is 0.36 s. What is the total energy of the object? my answer: 4.11 J -period=1/f. - omega=2*pi*f=17.45 only kinetic energy therefore Etotal=1/2mv^2=1/2*...
December 1, 2010 by Michael

Trigonometry
A weight hanging from the end of a spring is pulled 8 inches below its rest position. When released, the weight then exhibits simple harmonic motion, with period 1/2 second. Find an equation describing its motion
October 1, 2016 by Liv

physics
A loudspeaker diaphragm is vibrating in simple harmonic motion with a frequency of 430 Hz and a maximum displacement of 0.90 mm. what is the max speed? what is the max acceleration?
January 22, 2011 by Help Please!

Physical Science
4. What measurable property/properties affects the period of a pendulum? 7.Give another example of periodic motion other than simple harmonic motion. 8. If you landed on the moon, could you use the pendulum method to find "g" there? Explain.
February 12, 2016 by Sherianna

Physics (Oscillation)
If a particle moves in simple harmonic motion with a frequency of 3.00 Hz and an amplitude of 5.00 cm through what total distance does the particle move during one cycle of its motion, what is its maximum speed, where does this maximum speed occur and what and where does the ...
September 8, 2010 by James

Physics
Planet Earth as a Spring. Assume that the Earth is perfect sphere of mass M=5.98x10^24kg, radius 6,370km, and uniform density. Imagine a long, straight tunnel through the center of the Earth, connecting the North and South poles . A capsule of mass m is dropped into this ...
February 19, 2013 by Betty Ariston

Physics
A particle executing simple harmonic motion of amplitude 5 cm and period 2 s. Find the speed of the particle at a point where its acceleration is half of its maximum value
August 17, 2016 by Anushka

physics
An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 300 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. m...
March 7, 2012 by Nicole

phy 101
the velocity of a body performing simple harmonic motion is given as what
May 18, 2011 by chuksmezie

Physics
A trapeze artist swings in simple harmonic motion with a period of 3.2 s. The acceleration of gravity is 9.81 m/s2 . Calculate the length of the cables supporting the trapeze. Answer in units of m.
March 4, 2011 by Ellen

ap physics
A 0.461 kg mass is attached to a spring and executes simple harmonic motion with a pe- riod of 0.59 s. The total energy of the system is 2.4 J. Find the force constant of the spring
February 21, 2015 by arabelle

Precal, TRUE OR FALSE
TRUE OR FALSE The motion of a pendulum for which the maximum displacement from equilibrium varies is an example of simple harmonic motion.
May 28, 2014 by l

Physics
An object with mass 3.0 kg is executing simple harmonic motion, attached to a spring with spring constant k =210 N/m. When the object is 0.23 m from its equilibrium position, it is moving with a speed of 0.72 m/s. (a) Calculate the amplitude of the motion. m (b) Calculate the ...
June 12, 2014 by Garrett

physics
my physics teacher said that in simple harmonic motion of simple pendulum the direction of torque acting is opposite to angular displacement now i am wondering how ?as angular displacement is either anticlockwise or clockwise and torque direction is outward or inward to the ...
June 24, 2014 by zoha

Physics
A block rides on a piston that is moving vertically with simple harmonic motion. (a) If the SHM has period 3.1 s, at what amplitude of motion will the block and piston separate? (b) If the piston has an amplitude of 9.6 cm, what is the maximum frequency for which the block and...
February 22, 2011 by Jake

physics
A piston of a car engine executes a simple harmonic motion. the acceleration a of the piston is related to its displacement x by the equation: a = -6.4*10^5x a) Calculate the frequency of motion b) The piston has a mass of 700 gms & a max displacement of 8 cm. Calculate the ...
September 23, 2014 by Saeed

Physics
At what positions is the speed of a simple harmonic oscillator half its maximum? That is, what values of x / X give v = ±vmax/2 , where X is the amplitude of the motion? Hello, I am so confused about this question. I am not really sure where to start. Thank you so much!
July 24, 2016 by Elizabeth

physics
a body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 cos (pt). The magnitude of the acceleration (in m/s2) of the body at t = 1.0 s is approximately a. 3.5 b.14 c.43 d.4.3
April 11, 2011 by eugene

Physics
A puck with mass m = 0.17kg slides along a frictionless horizontal surface at v = 5.3m/s . It hits and sticks to the free end of a spring with k = 17N/m Find the amplitude and period of the subsequent simple harmonic motion?
April 1, 2014 by Eiban

physics
A .255 kg mass is attached to a spring and executes simple harmonic motion with a period of .56 s. The total energy of the system is 3.6 J. Find the force constant of the spring. Answer in units of N/m
September 16, 2013 by Anonymous

Physics
A body of mass 10g oscillates with Simple Harmonic Motion of amplitude 4cm and time period 0.50s. Calculate: a) The maximum acceleration. b) The maximum kinetic energy.
March 13, 2016 by Alex

PHYSICS
a 1kg block is executing simple harmonic motion of amplitude 0.1m on a smooth horizontal surface under the restoring force of a spring of spring constant 100N/M.A block of mass 3kg is gently placed on it at the instant it passes through the mean position .Assuming that the two...
December 24, 2009 by CHIKIRSHU

physics
A .436 kg mass is attached to a spring and executes simple harmonic motion with a period of .19s. The total energy of the system is 4.6 J. find force constant of the spring. Answer in units of N/m
September 22, 2013 by Anonymous

An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion. a. What is the period and frequency of the pendulum’s motion? b. How many seconds out of phase with the displacements shown would graphs of the ...
December 12, 2011 by Mishaka

calculus
If an equation of motion of a particle is given by s(t)= Acos(ùt + ä), the particle is said to undergo simple harmonic motion. Find the velocity of the particle at time t. When is the velocity 0?
September 27, 2011 by Belinda

phyics
Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 175 N/m. The motion of the object on spring 1 has twice the amplitude as the motion of the object on spring 2. The magnitude of the...
November 12, 2013 by MATT

Physics Help
A bungee jumper undergoes simple harmonic motion with amplitude 3.5 m and frequency 0.135 Hz. Assume the bungee jumper follows the simple harmonic motion equation x=Acos(wt). A. Determine the bungee jumper's velocity at 0.25 s B. Determine the bungee jumper's velocity at 0.50 ...
April 1, 2014 by Eiban

Physics
A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle c.) total mechanical energy of the oscillator...
November 30, 2010 by Greg

physics
A buoy oscillates in simple harmonic motion according to the motion of waves at sea. An observer notes that the buoy moves a total of 6 feet from its lowest point to its highest point. The buoy returns to its highest point every 15 seconds. Amplitude: 6 feet Period: ??? ...
March 21, 2012 by Help

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