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Periodic Motion

Simple Harmonic Motion: Block-spring system.

(See attached file for full problem description) --- Learning Goal: To learn the basic terminology and relationships among the main characteristics of simple harmonic motion. Motion that repeats itself over and over is called periodic motion. There are many examples of periodic motion: the earth revolving around the sun; an

A pendulum with a wooden rod and steel disc blade swings in small oscillations and at the same time the whole system moves down. To determine number of oscillations of the pendulum when it has moved down by 1m.

A torture technique used by inquisition included a pendulum with attached blade. The length and mass of the wooden rod are L=5m and M=10kg, and the steel disk blade has m=30kg and radius R=30cm. While the pendulum swings, the whole system moves vertically down at a rate of 1mm/min. Considering that the pendulum has a small amp

Simple Harmonic Motion:Oscillation of 2 blocks with 3 spring

The word document has a graph that is necessary to understand the problem, please go directly there. A harmonic force [F0 sin wt)] is applied to mass m1 which in turn is coupled to springs of spring constants k1, k2 and k3. Let x1 and x2 be the deviations from equilibrium for m1 and m2, respectively. Ignore gravity. 1) Wr

Undamped Coupled Oscillators

Undamped coupled oscillators: Two identical undamped oscillators, A and B, each of mass m and natural frequency ω_0 are coupled in such a way that the coupling force exerted on A is σm(d^2x_b/dt^2), and the coupling force exerted on B is σm(d^2x_a/dt^2), where σ is a coupling constant of magnitude less tha

Show eqn E = 100 Sin(2(pi)x/3) Cos 5(pi)t is a mixture of 2

This question is from the text book 'OPTICS' fourth edition by Eugene Hecht. Thank you so much for your help. p.s I hope ,if possible, you could let me have answers as in pdf file or scaned paper(unless I could read or understand the letters that you wrote.. Cause, sometimes it's really hard to read the spelling in the se

Periodic Motion of a Mass on a Spring

The position of a mass on a spring is given by x = (6.5 cm) cos [2 pi t/ (0.88s)]. (a) What is the period of this motion? (b) Where is the mass at t = 0.25 s? (c) Show that the mass is at the same location at 0.25 s + T seconds as it is at 0.25 s.

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

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

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 :)

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?

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

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

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.

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