# Physics: Simple Harmonic Motion

79,077 results

### 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.

### 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?

### 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 ...

### Simple harmonic motion

The midpoint of a guitar string executes simple harmonic motion with motion following the form x(t) = A sin(ωt + φ). Amplitude (A)=1.60mm, Angular Velocity (w)=2760 and phase constant (o) = pi/2. How do I find the initial displacement, velocity and acceleration of the ...

### 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 .

### 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 ...

### 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...

### 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.

### 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(...

### 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 ...

### 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...

### 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 ...

### Physics

Simple Harmonic Motion Problem Amplitude=10cm=0.1m , period=1s, angular frequency= 6.28 rad What is the maximum speed of the mass during this motion?

### 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. ...

### 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 ...

### 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 someone...

### 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.

### 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.

### 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 ...

### Physics

What is simple harmonic motion or SHM?

### Physics

What Is Simple Harmonic Motion (SHM)?

### 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?

### 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?

### 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.

### 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.

### 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

### 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:

### 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.

### Physics

What is the application of simple harmonic motion to our daily lives?

### Physics

show that the oscillation of a liquid in a u-tube is in simple harmonic motion.

### 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...

### 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 ...

### 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.

### physics

Hello, could anyone help with this excersise of Harmonic Motion? I have to show that a block of mass "m" that is attached at the top of a frictionless inclined plane using a string of "k" constant , performs simple harmonic motion... Well doing the the addition of forces that ...

### Physics Please Help

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.

### Physics Please Help

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.

### physics

A 200g mass is attached to a spring and allowed to execute simple harmonic motion with a period of 0.25seconds. If the total energy of the system is 2.0 joules, find the force constant of the spring and the amplitude of the motion.

### 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

### 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.

### 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?

### physics (Simple harmonic motion)

X(t)=0.142sin(2t+0.19) b) Find the travelled distance by block at t2=3.5min [37.963m].

### 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.

### 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.

### 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.

### 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

### 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?

### 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.

### 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.

### 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?

### 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) ...

### 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.

### Physics

A bouncing ball returns to the same height each time. Is this an example of simple harmonic motion? Explain your answer.

### 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.

### 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?

### 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.

### 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 ?

### 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?

### 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...

### Motion

A body weighing 150 N, moves with simple harmonic motion. The velocity and acceleration of the body when it is 200 mm from the centre of oscillation, are 5 m/s and 20 m/s2 respectively.Determine (a) amplitude of motion ,no. of vibrations per minute, Periodic time and angular ...

### 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

### 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?

### Motion

A body weighing 150 N, moves with simple harmonic motion. The velocity and acceleration of the body when it is 200 mm from the centre of oscillation, are 5 m/s and 20 m/s2 respectively.Determine (a) amplitude of motion ,no. of vibrations per minute, Periodic time and angular ...

### 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

### 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?

### 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 ...

### 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?

### 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

### 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....

### 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?

### 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.

### 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.

### 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?

### 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 ...

### 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?

### 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?

### 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?

### 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 ...

### 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?

### 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.

### 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*...

### 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

### 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?

### 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.

### 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 ...

### 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 ...

### 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

### 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...

### phy 101

the velocity of a body performing simple harmonic motion is given as what

### 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.

### 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

### physics

A 2.0 kg mass is attached to the end of horizontal spring (k = 50 N/m) and set into simple harmonic motion with an amplitude of 0.10 m. What is the maximum speed of the mass? (Assume there is no friction.) A. 0.25 m/s B. 0.5 m/s C. 1.0 m/s D. 2.5 m/s E. 5.0 m/s

### 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.

### 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 ...

### 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 ...

### 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...

### 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 ...

### 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!

### 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

### Physics

A body vibrates in simple harmonic motion with an amplitude of 5 cm and a frequency of 0.50 Hz. a) Calculate: i) the maximum acceleration ii) the maximum velocity iii) the magnitude of the acceleration and velocity when the body is displaced 10 mm from its equilibrium position...