Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Physics Expert

problem 1:

a) A simple harmonic oscillator has amplitude of 0.17 m and a period of 0.84 s. Find out the frequency and the angular frequency of the motion. prepare down expressions for the time dependence of displacement, velocity and acceleration. What are the maximum values of the velocity and acceleration?

b) Assume that a spring-mass system has k = 18 Nm-1 and m = 0.71 kg. The system is oscillating with amplitude of 54 mm.

i) Find out the angular frequency of oscillation.
ii) Obtain an expression for the velocity v of the block as a function of displacement, x and compute v at x = 34 mm
iii) Obtain an expression for the mass’s distance |x| from the equilibrium position as a function of the velocity v and compute | x | when v = 0.18 ms−1
iv) Compute the energy of the spring-mass system.

problem 2:

a) Establish the equation of motion of a damped oscillator. Show that for a weakly damped oscillator, displacement is given by:

x(t) = ao exp (-bt) sinωdt

As well obtain the expression for the time period of oscillation.

b) The weight on a vertical spring undergoes forced vibrations according to the given equation:

d2x/dt2 + 4x = 8 sin ωt

Where x is the displacement from the equilibrium position and ω > 0 is a constant. If at t = 0, x = 0 and v (= dx/dt) = 0; Compute

i) x as a function of t, and
ii) The period of the external force for which resonance takes place.

problem 3:

a) A sinusoidal wave is illustrated by:

y (x, t) = 2.0 sin (2.11 x – 3.62 t)

Where x is the position all along the wave propagation. Find out the amplitude, wave number, wavelength, frequency and velocity of the wave.

b) The linear density of a vibrating string is 1.3 × 10−4 kg m−1. A transverse wave is propagating on the string and is illustrated by the equation:

y (x, t) = 0.021 sin (x − 30t)

Where x and y are in meters and t is in seconds. Compute the tension in the string.

c) A transverse wave of amplitude 0.01 m is produced at one end (x = 0) of a long horizontal string by a turning fork of frequency 500 Hz. At a given instant of time, the displacement of the particle at x = 0.1 m is − 0.005 m and that of the particle at x = 0.2 m is 0.005 m. Compute the wavelength and the wave velocity.

problem 4:

a) A travelling wave is illustrated by the equation:

y = exp (− az2 – bt2 − 2 √ab zt)
Compute the wave velocity and sketch the waveform at t = 0 and t = 3s. Take a = 144 cm−2 and b = 9 s−1.

b) A stretched string of mass 20 g vibrates with a frequency of 30 Hz in its basic mode and the supports are 40 cm apart. The amplitude of vibrations at antinode is 4 cm. Compute the velocity of propagation of the wave in the string and also the tension in it.

c) Consider two cylindrical pipes of equivalent length. One of such acts as a closed organ pipe and the other as open organ pipe. The frequency of the second harmonic in the closed pipe is 200 Hz higher than the first harmonic of the open pipe. Compute the fundamental frequency of the closed pipe.

Physics, Academics

  • Category:- Physics
  • Reference No.:- M92516
  • Price:- $70

Priced at Now at $70, Verified Solution

Have any Question? 


Related Questions in Physics

A channel with input x and output y has transition

A channel with input x and output y has transition probability matrix: Assuming an input distribution of the form write down the entropy of the output, H(Y ), and the conditional entropy of the output given the input, H( ...

During april 2006 zimbabwes inflation rate averaged 067 a

During April 2006, Zimbabwe's inflation rate averaged 0.67% a day. This means that, on average, prices went up by 0.67% from one day to the next. (a) By what percentage did prices in Zimbabwe increase in April of 2006? ( ...

Wastewater containing solute a at a concentration of 10

Wastewater containing solute A at a concentration of 1:0 × 10 -3  g mol=m 3  enters an open tank at a volumetric flow rate of 0:2 m 3 /min, and exits at the same rate. Solute A transfers from the wastewater in the open t ...

On a certain day the barometric pressure at sea level is

On a certain day the barometric pressure at sea level is 30.1 in. Hg, and the temperature is 70°F. The pressure gage in an airplane in flight indicates a pressure of 10.6 psia, and the temperature gage shows the air temp ...

Consider the osmotic cell-within-a-cell design sketched in

Consider the osmotic cell-within-a-cell design sketched in the Figure. The membrane between 1 and 2 is permeable only to solvent A, and the membrane between 2 and 3 is permeable to both A and B but not C. Find an express ...

Investigate the possibility of achieving the shannon limit

Investigate the possibility of achieving the Shannon limit with linear block codes, using the following counting argument. Assume a linear code of large blocklength N and rate R = K/N. The code's parity-check matrix H ha ...

A radioactive isotope is being produced at a constant rate

A radioactive isotope is being produced at a constant rate dN/dt - R in an experiment. a. The isotope has a half-life Show that after a time t >> t1/2, the number of active nuclei will become constant. Find the value of ...

The accurate metal work functions are recently determined

The accurate metal work functions are recently determined using the inverse problem of Problem, that is, if NDD is known precisely, the metal work function can  be calculated form the experimental forward I-V curve of th ...

The area of the earths surface is approximately 516 x 106

The area of the Earth's surface is approximately 516 X 106 km2. What is the weight of the entire atmosphere in tonnes? Express your answer using scientific notation, in units of 1012 tonnes

Optimize the degree distribution of a digital fountain code

Optimize the degree distribution of a digital fountain code for a file of K = 10 000 packets. Pick a sensible objective function for your optimization, such as minimizing the mean of N, the number of packets required for ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro