Simple harmonic motion Definition and 910 Threads

[SOLVED] Simple Harmonic Motion This is the question I was given on my assignment, I can't seem to get it, bad prof so I am trying to teach all of this to myself, but this stuff is a bit confusing. From what I have tried and gather from examples in mt text, sub in .120s and solve but that is...

Homework Statement A 0.620-kg cart is moving down an air track with a speed of 2.33 m/s when it collides with a spring. The spring is initially at its equilibrium position, but the cart compresses the spring. It takes 0.0780s after the cart hits the spring for the cart to come to a stop. The...

1. A 25.0g bullet strikes a .600kg block attached to a fixed horizontal spring whose spring constant is 6.70x10^3 and sets it into vibration with an amplitude of 21.5cm. What is the speed of the bullet before impact if the two objects move together after impact?2. V=A\sqrt{k/m} 3. I used the...

1. A 25.0g bullet strikes a .600kg block attached to a fixed horizontal spring whose spring constant is 6.70x10^3 and sets it into vibration with an amplitude of 21.5cm. What is the speed of the bullet before impact if the two objects move together after impact?2. V=A\sqrt{k/m} 3. I used the...

Here is the problem I am having: Professor told me to find the spring constant using our slope of the graph. Now the graph that I did on the excel went something like this: On the X-axis of the graph was the weight of the hanging mass in Newtons and on the Y-axis of the graph was the...

Homework Statement An object is undergoing simple harmonic motion. The graph shows the position of the object as a function of time. What is the first time after t = 0 s when the speed reaches a maximum? http://www.learning.physics.dal.ca/dalphysicslib/Graphics/Gtype26/shm.47.jpeg...

Homework Statement I'm given the position vs. time, velocity vs. time, acceleration vs. time, and energy vs. time graphs for a simple harmonic motion, and I want to know what would happen to those graphs if air resistance is included? Homework Equations N/A The Attempt at a Solution...

Homework Statement A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a height 3 cm above the top of the spring. The block sticks to the top end of the spring and then oscillates with an amplitude of 10 cm. What is the oscillation...

Hi, Recently, a friend and I were watching a 2nd world war film where a battleship was shelling land based fortifications. The discussion arose on how the ship (which was moving up and down due to the waves in the sea) could accurately target the fortifications. I remember being told that...

Homework Statement Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true/false? True False Quadrupling the mass will halve the frequency. True False Doubling the spring...

Homework Statement A massless spring with spring constant 27.7 N/m hangs vertically. A body of mass 0.31 kg is attached to its free end and then released. Assume that the spring was unstretched before the body was released. How far below the initial position does the body descend...

Homework Statement A particle of mass m is constrained to move along the x-axis. The potential energy is given by, V (x) = a + bx + cx2, where a, b, c are positive constants. If the particle is disturbed slightly from its equilibrium position, then it follows that (a) it performs simple...

Homework Statement A holiday ornament in the shape of a hollow sphere with mass 2.0×10−2 kg and radius 5.5×10−2 m is hung from a tree limb by a small loop of wire attached to the surface of the sphere. If the ornament is displaced a small distance and released, it swings back and forth as a...

[SOLVED] Approximation to simple harmonic motion. Homework Statement A small mass m, which carries a charge q, is constrained to move vertically inside a narrow, frictionless cylinder. At the bottom of the cylinder is a point mass of charge Q having the same sign as q. Show that if the mass m...

[SOLVED] Simple Harmonic Motion Homework Statement A mass rests on a frictionless horizontal table and is connected to rigid supports via 2 identical springs (which obey Hooke's law). Each spring is stretched to a length (l) considerably greater than its rest length. At rest, the mass is...

Homework Statement A point mass rests on a horizontal platform which can be made to describe vertical s.h.m. of amplitude 0.10m and frequency 2.0 Hz. The mass makes contact with the platform as it rises from its lowest point. At what point, if any, will this contact be lost? Homework...

[SOLVED] the addition of three simple harmonic motion Homework Statement A particle is simultaneously subjected to three simple harmonic motions, all of the same frequency and in the x direction. If the amplitudes are 0.25, 0.20 and 0.15 mm, respectively, and the phase difference between...

A particle moves in a straight line so that its position, x cm, from a fixed point O, at time t seconds is given by x=3+12sin(2\pi t)+5cos(2 \pi t). Prove that the particle is undergoing simple harmonic motion, and find x when its speed is 26\pi cm/s. I was fine with the first part of the...

What does 'simple harmonic motion' mean? By definition, it describes any periodic motion that is the result of a restoring force that is proportional to displacement. What does 'periodic' mean here? It means recurring at equal intervals of time? Ususally, the example of SHM is virating...

Homework Statement A small bead of mass m1 slides without friction in a spherical bowl of radius R. The bead is displaced a height h1 from the bottom of the bowl. A second, more massive bead of mass m2 is displaced a height h2 from the bottom of the bowl opposite the first bead. The two...

Simple Harmonic Motion-Help Please :) Homework Statement A loundspeaker diaphragm is producing a sound for 1.5 s by moving back and forth in a simple harmonic motion. The angular frequency of the motion is 8.50 104 rad/s. How many times does the diaphragm move back and forth? ________...

Homework Statement A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation A=Ai * sin(wt+ (pi/3)) , Where w = pi radians per second, t is in seconds, and Ai = 2.4m. What is the phase of motion at t = 9.4 seconds...

Homework Statement How could you double the maximum speed of a SHO? Homework Equations v_max = sqrt{k/m}A The Attempt at a Solution The speed is at its maximum when it's period is complete and is passing through its equilibrium point. k and m can be kept at the same. BUt if we...

ok, so I've had a look around the forums and all that nd i can't find anything that will help me with what I am stuck on...nd if I'm about you ask a question that's already being asked I am sorry for posting a new thread...just point me in the right direction! Homework Statement a particle...

Homework Statement A 10.0kg mass undergoes Simple Harmonic Motion with an amplitude of 8.0 cm, a maximum acceleration of magnitude 3.26 m/s^2, and an unknown phase constant φ. What is the period, max speed of the mass, the total mechanical energy of the system, and the magnitude of the force...

A mass of 0.100 kg is supported in equilibrium by two identical springs of negligible mass having spring constants k= 0.050 N/m. In the equilibrium position, the springs make an angle of 30 degree with the horizontal and are 0.100 m in length. If the mass, m, is pulled down a distance of 0.020 m...

Homework Statement The spring constant of the spring is 23N/m and the mass of the object is 6kg. The spring is unstretched and the surface is frictionless. A constant force of 16N is applied horizontally to the object causing the spring to stretch. Find the speed of the object after it has...

1) A mass is connected to 2 rubber bands of length L as shown. Each rubber band has a constant tension T. You can neglecct the force of gravity for this problem. The mass is displaced horizontally by a very small distance x and then released (so x<<L always). The mass will exhibit simple...

Homework Statement A partridge of mass 4.94 kg is suspended from a pear tree by an ideal spring of negligible mass. When the partridge is pulled down 0.100 m below its equilibrium position and released, it vibrates with a period of 4.17 s. When it is moving upward, how much time is required...

Hello all, I have completed a lab for simple harmonic motion, with the goal of finding the constants B, n, and p in the equation T=B*k^n*m^p, where k is the spring constant and m is the mass. I suppose this is more of a math question, because I already have two separate power regressions...

I came across a physics problem for homework that I was able to work out on my own, however when I got to class, my teacher said that my numbers were not what the book had calculated, but couldn't tell if there was a flaw in my logic that would prevent me from getting the correct phi and...

Homework Statement In some diatomic molecules, the force each atom exerts on the other can be approximated by F = -C/r2 + D/r3, where r is the atomic separation and C and D are positive constants. Let delta r = r - r0 be a small displacement from equilibrium, where delta r << r0. Show that...

I can't figure out what the heck I need to do for this problem. 3) A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with the time according to the equation A=A sin (wt+ pi/3) Where w=pi radians per second, t is in seconds, and a= 7.6m. What is...

Homework Statement A particle is dropped into a hole drilled straight through the center of the Earth. Neglecting rotational effects, show that the particle's motion is simple harmonic if you assume Earth has uniform density. Show that the period of the oscillation is about 84 min...

Homework Statement The residents of a small planet have bored a hole straight through its center as part of a communications system. The hole has been filled with a tube and the air has been pumped out of the tube to virtually eliminate friction. Messages are passed back and forth by dropping...

Homework Statement An ultrasonic transducer, of the type used in medical ultrasound imaging, is a very thin disk (m = 0.08 g) driven back and forth in SHM at 1.5 MHz by an electromagnetic coil.(a) The maximum restoring force that can be applied to the disk without breaking it is 34,000 N. What...

Multiple force constants/Single mass?: SHM, Spring w/ mass. Homework Statement Kim drives her empty dump truck over a berm (also called a speed bump) at the contruction site. The truck has a mass of 3000kg and the force constant for one of the truck's springs is 100,000N/m (Remember, truck...

Homework Statement Your boss at the Cut-Rate Cuckoo Clock Company asks you what would happen to the frequency of the angular SHM of the balance wheel if it had the same density and the same coil spring (thus the same torsion constant), but all the balance wheel dimensions were made one-third...

I have several questions i will write all of them and give you my attempt at a solution, hope you can help me figure out what i am doing wrong, Thanks. Question 1: An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t=0.00 s. It then...

Hi i need help with this question. It is focused on simple harmonic equation and the rest of the assignment uses many question which are structure like this. A mass of 16kg on a spring of k = 9.0N/m passes the midpoint of motion with a velocity of 2.0m/s what is the amplitutde? I am unsure...

I'm supposed to derive x as a function of time for a simple harmonic oscillator (ie, a spring). According to my textbook this is done by using Newton's second law and hooke's law as this: ma=-kx and one gets a differential equation in the second order. I can follow the calculations until...

Q. the end of on of the prongs on a tuning fork that executes simple harmonic motion of frequency 1266 hz has an amplitude of 0.4944mm. find the speed of the end of the prong when the end has a displacement of 0.2037mm. okay i know that you use the v(t) equations and all but where does...

Homework Statement http://www.physics.umd.edu/courses/Phys122/Noyes/HW/hw1.pdf (pg 3) Homework Equations Im guessing that E = K + U has something to do with it The Attempt at a Solution Not really sure where to start..I tried a few approaches but none of them got me...

Homework Statement A mass of density d floats in a liquid of density d_L. The mass is then pushed down a distance x and let go. Use Newton's Second Law to demonstrate that the mass will undergo simple harmonic motion. Recall that the SHM equation is d^2x/dt^2 + w^2*x = 0. Assume there is...

Homework Statement Prove that the maximum speed (Vmax) of a mass on a spring is given by 2(Pi)fA f = period A = Amplitude (compression) Homework Equations Ek = 1/2mv^2 Et = Ek + Ee The Attempt at a Solution So from what I understand, Velocity is maximum when total...

Homework Statement # A simple pendulum having charge q, mass m and effective length l is suspended from a rigid support between the plates of a charged capacitor whose plates are kept vertical. What is the time period of oscillation of the pendulum? Homework Equations Time period =...

Hey, my teacher gave me these two problems for Homework and me nor anybody else in my class has no idea how to do them, any help would be greatly appreciated. 1. a 15.0kg block rests on a horizontal table and is attached to one end of a massless, horizontal spring. By pulling horizontally on...

Homework Statement While visiting friends at Cal State Chico, you pay a visit to the Crazy Horse Saloon. This fine establishment features a 200- kg mechanical bucking bull that has a mechanism that makes it move vertically in simple harmonic motion. Whether the “bull” has a rider or not, it...

Jane wants to swing on a rope across a river. What minimum speed does she need to make it across, and once she's across, what minimum speed does she need to make it back? Here's what's given: mass = 47 kg horizontal wind - call it F - (opposite to her swing) = 120 N horizontal distance (D) =...

A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall whle the other end is connected to a movable object. The spring and object are compressed by 0.064 m, released from rest, and subsequently oscillate back and forth with an angular frequency of...