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# Periodic Motion

### Simple Harmonic Motion - Mass and Period

The position of a mass oscillating on a spring is given by x=(5.2 cm)cos[2pi t/(0.54 s)]. (a) What is the period of this motion? (b) When is the mass first at the position x=0?

### Period of Pendulum

The period T (in seconds) of a simple pendulum is a function of its length l (in feet), given by: T(l)=2pie sqrt 1/g Express the length l as a function of the period T.

### A tranverse traveling

A tranverse traveling wave is described by the equation y(x,t) = 10 sin(8 pie + pieT), where x and y are in meters and t in seconds. the wavelength and freaquency of the wave are a. .25m and .5 hz b. 4m and .5hz c. .25m and 2hz d. 4m and 2hz

### Pendulum Amplitude and Period

When the amplitude of a pendulum decreases to half its initial value, the period will have: a. Halved b. Doubled c. Remain the same

### Finding the radius of a circle

Please see the attachment. I do not have notes as to how to determine the radius, would you please walk me through the steps?

### Important Information about Wave Motion

S and P waves from an earthquake travel at different speeds and this difference helps in the determination of the earthquake "epicenter", (where the disturbance took place). (a) Assuming typical speeds of 9.0km/s and 5.5 km/s for P and S waves, respectively, how far away did the earthquake occur if a particular seismic statio

### Waves, wave speed/type

A fisherman notices that wave crests pass the bow of his anchored boat every 4.0seconds. He measures the distance between two crests to be 9.0 m. How fast are the waves traveling? **please explain this in the simplest, least confusing way....thank you so much :)

### Equation of a particle on a spring

A particle with a mass of .500 kg is attached to a spring with a force constant of 50.0 N/m. At time t=0 the particle has its maximum spreed of 20.0 m/s and is moving to the left. (a) Determine the particle's equation of motion, specifying its position as a function of time. (b) Where in the motion is the potential energy thre

### Mass of a Pendulum

Please do not place your response in a .pdf or .cdx format, but Word documents are okay. Thanks! Here's the actual problem: Does the mass of a pendulum (brass vs aluminum) affect the period? Explain.

### What is the amplitude of the oscillation?

A. What is the amplitude of the oscillation shown in the figure? B. What is the frequency of this oscillation? C. What is the phase constant?

### Periodic Motion of Vibrating Spring

A spring vibrates with a frequency of 3.0 Hz when a weight of 0.50 kg is hung from it. What will its frequency be if only 0.35 kg hangs from it?

### A Fisherman's Scale: Spring Constants and Vibrations

A fisherman's scale stretches 2.8cm when a 3.7kg fish hangs from it. (a) What is the spring constant? (b) What will be the amplitude and frequency of vibration if the fish is pulled down 2.5cm more and released so that it vibrates up and down? *please explain this as simply and clearly as possible, thank you so much :)

### Amplitude of Spring Without Friction

A 2.00 kg object attached to a spring moves without friction and is driven by an external force given by: F = (3.00N) sin(2t) If the force constant of the spring is 20.0N/m, determine a) the period b) the amplitude of the motion.

### Wave Direction and Wind

On a rather cold and rainy day we observed that the wind was blowing from the NE and the waves were traveling in all directions. Why would this be?

### Dynamics for Unit Mass Moving

A particle of unit mass moving on the x axis has equation of motion (FUNCTION1) and the initial conditions are (FUNCTION2). show that (FUNCTION3) and deduce that the motion is an oscillation between x=1 and x=3 with period (FUNCTION4). By making the substitution (FUNCTION5) or otherwise show that (FUNCTION6). (PLEASE SEE ATTA

### Finding the Spring Constant

A 10-cm-long spring is attached to the ceiling. When a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm. (a) What is the spring constant k? (b) How long is the spring when a 3.0 kg mass is suspended from it?

### Physics: Spring Scale Question

A 6.30 kg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown in the figure (*please see attachment) A. What does the spring scale read just before the mass touches the lower spring? B. The scale reads 16.0 N when the lower spring has been compressed by 2.70 cm. What is the value of the spring

### Inductor and capacitor in a series or parallel

Hi. Can someone please help me with this conceptual question? An inductor and a capacitor are to be connected to a generator. Will the generator supply more current at a low frequency if the inductor and capacitor are connected in series or in parallel? Thank you.

### Traveling wave from known amplitude, frequency and wavelength.

A wave traveling on a wire has a frequency f= .8 cy/sec, an amplitude Y= .18 m and a wavelength L= 4.0 m. At a time t= .25 sec, find the x coordinates of all the crests.

### Simple pendulum changes length during half of one cycle.

A simple pendulum consists of a small marble suspended from nail #1 by a cord whose length is 12 m. Nail #1 is 6 m below nail #1, so that as the pendulum swings, the cord is caught on nail #2 when the cord is vertical. The marble is pulled a small distance from center and released at rest. see ATTACHMENT for a diagram of the e

### Harmonic oscillator and the first excited state

Find the question attached. The first excited states of the harmonic oscillators is see attached (a) Fine the normalization constant C_1- (b) Find the expectation values of <x p> and <p x> should that see attached

### Practice on Sinusoidal Wave

I am given a V peak of 3.98v, and a V trough of 1.49v. I found the Amplitude to be 2.49. I am now asked to find V e = V rms and I am not sure what is being asked or how to do the problem. Please provide assistance.

### Finding parameters of a wave

Find the amplitude, period and the phase and then sketch (i) f(x) = 2 cos x + Pi (ii) f(x) = 2 sin (2x+ (Pi/2))

### Finding angle and magnitude

In an assembly operation, a robot moves an object first straight upwards and then to the east, around an arc forming on quarter of a circle of radius 4.80 that lies in an east-west vertical plane. The robot then moves the object upward and to the north, through a quarter of a circle of radius 3.70 cm that lies in a north south

### Frame of Pivot Axis Corner

SEE ATTACHMENT #1 for a diagram of the given parameters. A rectangular frame is made from two thin, uniform bars of length L= 4 m, mass A= 6 kg, and two of length W= 3 m, mass B= 1.5 kg. The frame is placed on a pivot axis at one corner and executes SHM about that axis. Find the period of this SHM oscillation.

### Calculating Moment of Inertia: Example Problem

An irregular piece of sheet metal mounted on a pivot at a distance of .62 m from the cm. About this pivot point, it oscillates with SHM with a period measured at 2.25 seconds. Part A: Find the moment of inertia about the pivot axis. Part B: Find the moment of inertia about the cm axis.

### Frequency of an oscillating spring using Hooke's Law

See the attached file.

### Mass and spring properties when in simple harmonic motion.

A mass sits on a frictionless table. It is attached to a wall by a spring. The mass is initially located at x = 0 when the spring is unstretched (equilibrium position). You pull the mass away from the equilibrium position, out to x = A, and then release it. The mass then oscillates horizontally back and forth in simple harmonic

### Speed and wavelength of water waves given distance

Water waves in a lake travel 4.4 m in 1.8s. The period of oscillation is 1.2 s. a. What is the speed of water waves? b. What is their wavelength?