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 pendulum having a bob of mass m is hanging in a ship

A pendulum having a bob of mass m is hanging in a ship sailing along the equator from east to west. When the ship is stationary with respect to water the tension in the string is T0. (a) Find the speed of the ship due to ...

What is the maximum voltage that can be generated by a

What is the maximum voltage that can be generated by a silicon solar cell?

Discuss the factors that have contributed to the increase

Discuss the factors that have contributed to the increase in deferred parenthood then some of the advantages.

Particle track detectors are used to measure the speed of

Particle track detectors are used to measure the speed of particles if the lifetime of the particle is known. Particle X has a lifetime of 256.2 ps. These particles are created in an experiment inside the detector by a g ...

Unreasonable resultsthe manufacturer of a smoke alarm

Unreasonable Results The manufacturer of a smoke alarm decides that the smallest current of α radiation he can detect is 1.00 µA . (a) Find the activity in curies of an α emitter that produces a 1.00 µA current of α part ...

Estimate how many patterns in ay are recognizable as the

Estimate how many patterns in AY are recognizable as the character ‘2'. [The aim of this problem is to try to demonstrate the existence of as many patterns as possible that are recognizable as 2s.] Discuss how one might ...

The speed of a wave in a string is given by v oumlftm

The speed of a wave in a string is given by v = Ö(FT/m), where FT is the tension in the string and m = mass / length of the string. A 2.00 m long string has a mass of 12.5 g. A 162 g mass is attached to the string and hu ...

The coefficient of kinetic friction between the block and

The coefficient of kinetic friction between the block and the ramp is 0.20. If the distance for the to reach the top of the ramp or the bottom of the ramp are both 10 m, how long will it reach the top or bottom of the ra ...

In the circuit the capacitor is fully charged when switch s

In the circuit, the capacitor is fully charged when switch S is closed. Calculate the time needed for the potential energy stored by the circuit to be equally distributed between the capacitor and inductor. The capacitan ...

A large punch bowl holds 345kg of lemonade which is

A large punch bowl holds 3.45kg of lemonade (which is essentially water) at 20.0°C. A 0.33-kg ice cube at-10.2°C is placed in the lemonade. What is the final temperature of the system, and the amount of ice (if any) rema ...

  • 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

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

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen