Harmonic motion Definition and 1000 Threads

Problem: Prove that it is valid to model a particle in a smooth hemispherical bowl as a simple pendulum, provided its maximum displacement is small. Answer: Usually, a FBD is used along with Newton's 2nd, and then the small angle approximation is used twice (once for siintheta in the weight...

Homework Statement A horizontal plank (m = 2.0 kg, L = 1.0 m) is pivoted at one end. A spring. (k = 1000N/m) is attached at the other end find the angular frequence for small oscillations? Homework Equations w=(k/m)^0.e\5 The Attempt at a Solution w= (1000/2)^0.5 i have no idea...

Homework Statement A horizontal plank (m = 2.0 kg, L = 1.0 m) is pivoted at one end. A spring (k = 1.0 x 10 3 N/m) is attached at the other end, as shown in the figure. Find the angular frequency (in rad/s) for small oscillations Homework Equations w = (mgd/I)^0.5 I= 1/3 ML^2...

Homework Statement The motion of a particle is described by x = 10 sin (piet +pie/2 ). At what time ( in second ) is the potential energy equal to the kinetic energy ? Homework Equations KE = 1/2 mv^2 PE=1/2 Kx^2 The Attempt at a Solution V=pie10cos(piet + pie/3) V^2 = pie^2...

I'm confused on part of an AP Physics lab on "Simple Harmonic Motion from a Force Perspective." Using a hanging spring & mass, motion detector, and CBL unit/Ti-83 graphing calculator, we used the calculator's graphs to create equations that included the amplitude, angular frequency, the phase...

A 1.3 kg object oscillates with simple harmonic motion on a spring of force constant 410.0 N/m. The maximum speed is 0.7 m/s. What is the total energy of the object and the spring? Do I just set it up like this: 1/2*410*x^2=1/2*1.3*.7^2 to get the max x Then do I just add them up

[SOLVED] Simple Harmonic Motion Homework Statement Four people, each with mass of 71.1 kg, are in a car with a mass of 1180 kg. An earthquake strikes. The vertical oscillations of the ground surface make the car bounce up and down on its suspension springs, but the driver manages to pull of...

Homework Statement An ideal spring has a spring constant k = 29 N/m. The spring is suspended vertically. A 1.4 kg body is attached to the unstretched spring and released. It then performs oscillations. (a) What is the magnitude of the acceleration of the body when the extension of the...

Hello, I have problems solving the following two problems: 1)You measure the period of a physical pendulum about one pivot point to be T. Then you find another pivot point on the opposite side of the center of mass that gives the same period. The two points are separated by a distance L. Use...

Homework Statement If the initial period is 3.0 s and the mass is reduced to 1/3 of its initial value, what is the new period?Homework Equations Possibly T=2pi*squareroot(m/k)The Attempt at a Solution The solution is something close to 1.73. I have no idea what equation to use, even. Any...

Homework Statement Through simple harmonic motion produced on a trampoline Ivan ossilates freely, with a period of 0.85s. On a reference circle show Ivans position after 1/8th of a cycle. Label (and solve) the distance of this position from the equilibrium position.(Max displacement is...

Hi, I was wondering if anyone could explain Simple Harmonic Motion. My physics teacher has tried and I have read the parts in the book, but I am still confused. I know how to find the amplitude from the standard form equations, but I really just don't understand how to get the period and...

[SOLVED] Simple Harmonic Motion - Period (T) 1. A pendulum oscillates with a period T. If both the mass of the bob and the length of the pendulum are doubled, the new period will be _____. 2. T = 2(pi) x rad (k/m) 3. Since L is not a part of the equation, it shouldn't affect...

I'm trying to write a lab report but I cannot figure out how to derive the formulas for my Theories and Derivations section. Basically, the set-up was this: Two springs were attached to either ends of a dynamics cart. Each spring was then attached to a bumper at either end of the dynamics...

1. Homework Statement (a) Show that A_{0}cos(\omegat+\delta) can be written as A_{s}sin(\omegat)+A_{c}cos(\omegat), and determine A_{s} and A_{c} in terms of A_{0} and \delta. (b) Relate A_{c} and A_{s} to the initial position and velocity of a particle undergoing simple harmonic motion...

[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...

Homework Statement A 171 g object on a spring oscillates left to right on a frictionless surface with a frequency of 3.00 Hz and an amplitude of 11.0 cm. (a) What is the spring constant? N/m (b) If the object starts from rest at x = 11.0 cm at t = 0 and the equilibrium point...

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 Problem 60 in attached image: Homework Equations E = U + K E = \frac{1}{2}kx^{2} + \frac{1}{2}mv^{2} + \frac{1}{2}Iw^{2} w = \sqrt{\frac{k}{m}} x(t) = Acos(wt) Equation 13.3 they are referring to in the book: m(\frac{d^{2}x}{dt^{2}}) = -kx ---->...

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 Simple harmonic motion problem. The number of daylight hours in a day is harmonic. Suppose that in a particular location, the shortest day of the year has 6.5 hours of daylight and the longest day of the year has 17.5 hours. Then, we can model its motion with the function...

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...

Homework Statement A particle moves along the x axis. It is initially at the position 0.27 m, moving with velocity 0.14 m/s and acceleration -0.320 m/s2. First, assume that it moves with constant acceleration for 4.50 s. (a) Find its position. (b) Find its velocity at the end of this time...

[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...

E&M Electric Fields (Harmonic Motion?) This problem comes out of "Physics (for scientists and engineers w/ modern physics) Volume 2 7th Edition" by Serway/Jewett Review Problem Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle...

Hi everyone, I have 2 small questions for you, both related to (simple) harmonic motion. First, I have this diagram: http://img227.imageshack.us/img227/8530/archimedesvu2.jpg The mass of the cylinder is m, the area of a cut is S, and the water's density is p (supposed to be the Greek rho but p...

[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 You (mass m) are chosen as the "test pilot" for a new bungee jump. When you suspend yourself at rest from the bungee, you find that it stretches a distance L under your body weight. The jump point is a height 6L above the ground and the relaxed (unstretched length) of the...

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...

This isn't a homework problem specifically, but I was wondering if it is possible to find the period, amplitude, etc of a slightly more complex system. I found one on this page...

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...