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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

Harmonic Motion and Pendulum Clock

You are designing a pendulum clock to have a period of 1.0s. The acceleration of gravity is 9.81 m/s2. How long should the pendulum be in units of m?

Simple Harmonic Motion: Car on springs

The body of a 1261 kg car is supported on a frame by four springs. The spring constant of a single spring is 1.54 x 10 to the 4th N/m. Four people rinding in the car have a combined mass of 263 kg. When driven over a pothole in the road, the frame vibrates and for the first few seconds the vibration approximates simple harmon

Simple Harmonic motion problem..

A weight is suspended from a spring is seen to bob up and down over a distance of 30 cm twice each second. What is its frequency in Hz, period in units of s, and its amplitude in units of cm?

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

Object Positioning

Simple Harmonic motion: Object moving in simple harmonic motion given by x = A cos (2*pi*ft.) has a frequency of 15.0 Hz and an amplitude of 8.0 mm. What is the position of the object at 0.05 s?

Determining the Wave Speed

If the distance between consecutive peaks of a wave is 4 meters, and if 40 peaks pass in a second, then how fast is the wave moving?

Refraction: Angle of Rays

At what angle must a ray be incident as it passes from a material which has index of refraction 1.41 to a material with index of refraction of 1.16. in order that the wave should remain in the original material?

Types of waves: Speed, frequency & wavelength

The speed of surface wave in water decreases as the water becomes shallower. Suppose waves travel across the surface of a lake with a speed of 2.0 m/s and a wavelength of 1.5 m. When these waves move into a shallower part of the lake their speed decreases to 1.6 m/s, though their frequency remains the same. Find the wavelengt

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.

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.