I want to know the way to derive the time period equation of a spring mass system accounting for the mass of the spring but not using the energy analysis method but by proceeding in the same way as we do by ignoring the mass of the spring. Please help. I did not find any texts at my level. Any...
Homework Statement
Finding the time period of a conical pendulum by D'Alembert's principle. The string is of a constant length and all dissipations are to be ignored.
Homework Equations
The time period of a conical pendulum is 2\pi \sqrt{\frac{r}{g\tan\theta}}. I need to arrive at this result...
Homework Statement
A small plate of mass m is suspended by a light string of length l .A monochromatic light beam starts falling on it and is completely absorbed. If the energy falling on the plate per unit time is W, then find the time period of oscillation?
Homework Equations
The Attempt at...
I'll jump straight to my query.
If PE = mgh, and if the "m" is increased, the PE shall also increase.
Neglecting friction, Total mechanical energy(TME) = PE + KE.
Since PE increases, the total mechanical energy of the system shall also increase.
At its equilibrium position, where PE = 0...
Homework Statement
https://docs.google.com/gview?url=http%3A%2F%2Fwww.mycollegebag.in%2Fuploads%2F9%2F2%2F0%2F3%2F9203182%2Fchapter_12_simple_harmonic_motion.pdf&docid=31dfd636644a39577f33426fb9afdf23&a=bi&pagenumber=6&w=561Homework Statement I am referring to the second figure( q19)
It says...
time period of a "SPRING"
Homework Statement
A spring has mass is m and natural length "L" and spring constant "k" has its one end fixed and the other end stretched by a length "a" and released.What is the time period of its oscillations?(there is no other mass attached to the spring,only the...
Homework Statement
Put of curiosity I have tried to derive a formula for the time period of a pendulum that oscillates under gravity. Below you can find my workings, which I have checked on wikipedia and the workings are practically identical. However I got stuck at one point, and this is...
Homework Statement
Find the period of a pendulum consisting of a disk on mass M and radius R fixed to the end of a rod of length l and mass m. How does the period change if the disk is mounted to the rod by a frictionless bearing so that it is perfectly free to spin?Homework Equations
The...
Homework Statement
Homework Equations
The Attempt at a Solution
I really don't know how to start with this problem. The four point masses of mass m oscillate together so I am confused as to how should I begin making the equations. Just a guess, should I write down the expression for potential...
Homework Statement
Find the time period of the mass m as shown in the spring-block system. Neglect air resistance and pulley and springs are massless. All the three springs shown have spring constant k .Homework Equations
The Attempt at a Solution
I am not really sure how to start with this. If...
Homework Statement
Consider the system of equations : x' = x-y-x^3 and y'=x+y-y^3
a) Draw a phase plot ( Done numericlly program listed here in matlab)
b) Prove analytically that at-least one stable cycle exists ( Used Poincare Bendixon theorem to prove done)
c) Compute the period of...
Homework Statement
How should I find the time period of a pendulum which is made up of a rod of length l fitted with a bob of radius r at its one end and the other end being pivoted to the wall?
2. The attempt at a solution
Actually having problem with calculating...
Homework Statement
Find the period of a pendulum consisting of a disk of mass M and radius R fixed to the end of the rod of length l and mass m. How does the period change if the disk is mounted to the rod by a friction less bearing so that it is perfectly free to spin? The centre of the...
Homework Statement
Homework Equations
The Attempt at a Solution
I have tried to attack this problem with two methods but no luck. I always end up with something gibberish. :/
Method 1:
Considering the forces on anyone charge, the net force on a charge is...
Homework Statement
Homework Equations
The Attempt at a Solution
(see attachment 3)
If the middle charge is moved a y distance, then the other two move a distance y/2 in opposite direction. Similarly, the velocity in y direction of other two can be also calculated. As the rods are rigid, the...
If a rugby player is running at 3.69 m/s and then decides to sprint in a straight line for a ball and 3.27 seconds later is running at 7.29 m/s, what is their average acceleration during that time? Units and direction of travel are not required
Homework Equations
The Attempt at a...
Homework Statement
We have U-shaped tube filled with liquid , if liquid is displaced through length 'x' find
time period of SHM
please help me :confused:
Homework Statement
(see attachment)
An iron rod of length L is hung at a common point with threads of length \ell which are attached to the two ends of the rod. The rod is displaced a bit in the plane of the threads. What is the length of the threads if the period of the swinging of the rod...
As the title suggests, there is a practical in which we have to find mass of the spring (m*) having a block of mass M attached to bottom, from GRAPH of time period (T)^2 against M.
Here's what the practical handbook says:
T^2= [16{(pi)^2}(R^3)N][M+(m*/3)] / [(r^4)n]
there is no...
Homework Statement
The time period of a simple pendulum is doubled when the length of the pendulum is increased by 3.0m. What is the original length of the pendulum?
Homework Equations
T= 2∏√(l/g)
also l is original length and l+3 is the new length
The Attempt at a Solution
So...
In the above figure, what would be the time period of the body(in red) under gravity, neglecting any non-conservative forces?
And what do call this type of situation? A gravity well or sth?
I understand and completely accept the evidence for the former but i was just reading the greatest show on Earth and richard was saying how our domestic dogs are directly evolved from wolves, not foxes or anything else. If that's the case, wouldn't the lame argument "if we evolved from chimps...
can someone please tell me why is the time period of a simple pendulum independent of the mass m of the bob while the time period of a simple harmonic oscillator is T=2∏√m/k!
pleaseeeee help .
Thankyou sooo much :)
Hi everyone!
Anyone knows what is the maximum displacement covered by a body in a time equal to half of its time period? Please also give an example. Thank you.
There are two equations that can describe the time period of SHM oscillators (springs / pendulums ONLY)
Spring T = 2π * \sqrt \frac {m}{k}
Pendulum T = 2π * \sqrt \frac {l}{g}
It would seem from these equations that time period is independant of amplitude
therefore we should be able to...
Hello, I have made program for simulating aircraft motion.
I am able to obtain natural modes of motion like phugoid, short phugoid, etc.
but to check whether it is simulating correctly, I need to validate it with some existing data,
so i tried to compare the time period of phugoid of Boeing...
Homework Statement
In the attachment!
The Attempt at a Solution
My big hangup in this situation is why T, the period, of the oscillation doesn't change?
If you increase the displacement by 2A does this mean that since the force acting on the spring also increases proportionally there's...
I just don't even know where to begin. I'm not sure what formulas to use and just can't do anyhting with it. any help would be great. Thanks!
Recall that your trip to Mars is accomplished by using an elliptic transfer orbit going from Earth to Mars as shown in Fig. 1. This trajectory assumes...
Hello,
I have voltage signal that is time gated up to ns. I want to integrate this signal over this time interval, how one can do this and which device can be used for that.
Regards
MAAP
Homework Statement
This is one of my oscillator circuits, that I am trying to develop a simple formula to calculate RC for Oscillation Frequency, based on the fact the oscillation is done with the Capacitor charge changing from 1.1V to 1.68V back and forth, for a set of physical numbers.
What...
Homework Statement
A rectangular container partly filled with water up to height , after being slightly disturbed , the urface of water begins to slosh . Assume that the water surface remains practically flast during sloshing , find the time period of the sloshing mode. take width to be...
Hi,
I performed an experiment investigating the Time Period of oscillations. I wanted to know whether the m in the equation represents solely the mass hung on the spring or the mass of the system, that is, the mass hung plus the mass of the spring itself?
Thanks
Hi,
I am investigating the effect of changing the spring constant on the time period of Simple Harmonic Oscillations.
My first doubt regards one of my control variables. I listed that I should try and maintain air humidity constant, due to the fact it affects air resistance and, therefore...
Homework Statement
Force ( F ) = -kx /√( x^2 + r^2 ) where k is a constant and r(constant-amplitude) is the distance initially the object is away from the origin, x(variable) is distance of the object from the origin. Find time period of this oscillation
2. The attempt at a solution...
Does time period of SHM vary with frame(inertial and non inertial)??
Homework Statement
There is an SHM. First observer is watching it from inertial frame of refrence and secodn is from non inertial will there any change of time period for both observer.
Homework Equations
just think...
Homework Statement
Q1> there is a cube like jar of water kept at the surface of a lift which is moving with an acceleration of a in upward direction. jar is filled with water. There is a cubical block of wood floating on it's surface. It is slightly pressed and released. find the time period...
In the center of earth, g=0,
T=2*3.14*√(L/g) =∞
question: what do you mean by the "infinite time period"? and explain the situation of simple pendulum at the center of earth
Which of the two is a better expression for the time period of a simple pendulum?
t-=2∏\sqrt{(l/g)} or t=2∏\sqrt{(1/T/m)} ; l=length of the pendulum
T=time period of the pendulum
m=mass of bob...
For a piece of practical work, I'm investigating which factors alter the time period of a torsional pendulum.
So far, I'm changing the mass of the pendulum, the length of wire, type of wire and thickness of wire, can anyone recommend anything else?
Also, I'm looking at the formula...
Homework Statement
Challenge: a rather eccentric group of astronomy students wanted to celebrate the impact of the Shoemaker-Levy comet on Jupiter by holding a party of sufficiently long duration that their celebrations were simultaneous with the impact of the comet in all inertial reference...
1. Homework Statement
Two Springs are present (one just infront of the other). The Spring towards the left has +Q charge and towards the right -Q charge (at their ends).The distance between the two charges is d. The Springs are of length l. Find the Time Period of the Simple Harmonic Motion...
Homework Statement
Two Springs are present (one just infront of the other). The Spring towards the left has +Q charge and towards the right -Q charge (at their ends).The distance between the two charges is d. The Springs are of length l. Find the Time Period of the Simple Harmonic Motion if...
Hi,
I am a bit confused regarding the relation between the acceleration and time period in simple harmonic motion.
This questions asks what would be one change to the motion of a car's wing mirror in case the glass was switched for a heavier one. I don't understand for example, how would...
A fundamnetal question here;
IS it that the terminologies natural time period and frequency are used only for simple harmonic motions and not for motions which are periodic/sinusoidal like an SHM?
Homework Statement
9. A simple pendulum on Earth has a period of 6.0 seconds. What would the period of this pendulum be on Jupiter, if the acceleration of gravity on the surface of Jupiter is 26 m/s2
A. 2.3 sec
B. 3.7 sec
C. 6.0 sec
D. 15.6 sec
Homework Equations
T=2pi * sqrt...
Time period of oscillation of a pole floating...
Homework Statement
A pole is floating in a liquid with 80cm of its length immersed. It is pushed down a certain distance and released. What is its time period of vertical oscillation?
The Attempt at a Solution
I think the information...
The equation for the time period of a mass spring system does not contain gravitational field strength as a variable, implying that the frequency of oscillations is independent of gravity, and that the time period of a mass sping system would be the same on Earth a on the moon, for example...
Homework Statement
There are three springs A, B and C with equal force constants as k. Springs are placed such as the angle between two consecutive springs is 120 degrees. Calculate the time period of oscillation if the mass is slightly pushed towards C and released.Homework Equations
Force...