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Periodic Motion

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

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?

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

Periodic Motion

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 :)

A question pertaining to forced oscillations

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?


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.

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.

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