Homework Statement
This is a solved problem--
http://web.mit.edu/8.01t/www/materials/InClass/IC_Sol_W13D1-10.pdf
Homework EquationsThe Attempt at a Solution
In the solution, they conserve energy and angular momentum. Can I conserve linear momentum? Also, can I use coefficient of restitution...
Homework Statement
A uniform rod of mass M and length L can rotate around point P which is at position x from one end of the rod as shown in the figure. The rod is gently placed on a rough horizontal surface that has a friction coefficient μ. and at t=0 starts rotating with angular velocity...
Hello everyone!
New member here, as an ME major I always seem to come across very valuable information here, so I figured I would see if possibly someone here could help me.
The problem I am dealing with involves modeling a car through certain motions such as hitting a speed bump, and part...
Homework Statement
A uniform ladder having mass 14kg and length 3m is released from rest when it is in the vertical position. If it is allowed to fall freely, determine the angle Theta at which the bottom end A starts to lift off the ground. For calculation assume the ladder is a slender rod...
Homework Statement
I am a physics tutor. I want to show the relationship between electric charges and forces and gravitational forces. I am relating an example as follows.
If we have a hollow metal sphere the size of the Earth with a charge of 1.63E15 C and a piece of tinfoil the surface with...
I have a conceptual misunderstanding it seems. Poisson's ratio is the ratio of elastic strain deformation of the transverse and longitudinal components. That being said, if I were to induce thermal stress (heating up) to a rod by keeping its ends (longitudinal component) rigid, would there be a...
Homework Statement
A rod is made up as shown [pic attached]
Both have same cross-sectional area. Ep and En are Young modulus.
The rod breaks when total extension = 3.0mm
Greatest tensile stress that can be applied before rod breaks?
Homework Equations
Young modulus = stress / strain
The...
Homework Statement
[/B]
As a diagram any of the countless images on the internet serve well:
Suppose the static friction was not sufficient to maintain the rod in a static equilibrium and it starts slipping/sliding. It has an initial angle theta with respect to the ground. Assume there is no...
Homework Statement
A barbell that consist of a long thin rod of mass M and length L is attached to two uniform spheres on each end. Both spheres have mass M and (1/3)L. The sphere on the left is hallow (spherical shell) and the sphere on the right is solid. What is the moment of inertia for...
Homework Statement
The problem is Example 25.3.1 (a) on page 11 here: http://ocw.mit.edu/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/angular-momentum-1/conservation-of-angular-momentum/MIT8_01SC_coursenotes25.pdf.
Homework Equations
3. The Attempt at a Solution [/B]
Here is...
Pre-amble
A glass rod with polished faces.
Light goes in one end, and exits by the other end.
We hear of light bouncing down fibre optics.
What then happens with a glass tube, that has a rough ground inner and outer surface?
Or worse... when a part of the inner diameter is 'hot melt enlarged'...
Is there a formula for the moment of inertia? A thin, uniform density rod is rotating about an axis that is off the end of the rod, so it looks a bit like this:
------- |
(------- is the rod and | is the axis of rotation, so the rod is rotating out of the plane of your screen)
I just have...
Bead is at rest on a thin rod pivoted at one end. Bead is about a cm from the pivoted end of the rod. Rod now starts rotating with an uniform angular velocity w rad/sec.
1.What curve does the bead trace from the point of view of an inertial observer?
Here what i think... solution of the...
I just purchased a niobium-titanium rod, that I assume was once used in an accelerator experiment. Is there any danger that it might have a hazardous degree of radioactivity, from exposure to synchrotron radiation, assuming it was on the outside curve of a particle accelerator...
Homework Statement
The system shown in consists of two balls A and B connected by a thin rod of negligible mass. Ball A has three times the inertia of ball B and the distance between the two balls is ℓ. The system has a translational velocity of v in the x direction and is spinning...
Homework Statement
A thin rigid rod of length ##l## is placed perfectly vertical on a smooth ground. A slight disturbance on the upper end of rod causes lower end of rod to slip along the ground and rod starts falling down. Find velocity of center of mass of rod when the rod makes ##30## with...
1. a uniform rod of mass m and length l is placed horizontally on a smooth horizontal surface.An impulse is applied at one end perpendicular to the length of the rod. what is the velocity of centre of mass and angular velocity of rod just after the impulse is applied.
Homework Statement
Estimate the time it takes a pencil of length L=10 cm to hit the ground if initially the pencil makes an angle of 0.001 rad with the vertical. Take the gravitational acceleration to be 10m/s2
Details and assumptions
Assume that the pencil is just a thin solid rod with...
Homework Statement
A thin uniform rod of mass M and length L is centered at the origin and lies along
the x axis. Find the gravitational field due to the rod at all points on the x-axis in the
region
Picture adjunct
Homework Equations
My two question are:
Why r is'not the difference between...
So when you have a regular circuit with a voltage source on one end and a conductive rod that is free to move laterally on the other and you turn on the current, the rod will move either left or right depending on the current direction. What is causing this movement? Lenz's Law? So is the rod...
Homework Statement
Homework Equations
V = q/(4*pi*E_0*r), when 0 is taken at infinity
dV = -E*dsThe Attempt at a Solution
a. The total charge of the rod is given by Q = lambda*L
So the potential at P is given by
V = (lambda*L)/(4*pi*E_0*y)
b. We can calculate the electric field by...
Homework Statement
Thin rod of the length l is placed with one of its ends placed at the center Oof the
thin ring of radius R as shown, perpendicular to the plane of the ring. Rod is
charged with total charge Q that is distributed along the rod’s length with the
linear charge density...
Hello!
I'm pretty much translating this question word by word, so if you have problem understanding something off of it, please, let me know and I'll try explaining it better.
Homework Statement
Two masses of similar mass M are connected by a rod of length 2a. the rod is rotating on a...
Homework Statement
"A rod 55cm long and 1.0cm in radius carries a 4.4μC charge distributed uniformly over its length. What is the approximate magnitude of the electric field 4.0mm from the rod surface, not near either end? What is the approximate magnitude of the electric field 32m from the...
Sorry this isn't really intro to physics, it's high school physics...
I'm investigating the force vs angle of a mouse trap and I need to talk about the uncertainties one thing is that the lever (hammer/arm/part that hits the mouse) bends. So the angle isn't very accurate. What formula do I...
I am trying to use computer modelling to see stress. I want to compare it to my hand calculation, which uses the frusta cone method to find the stiffness of the joint. This way, I can check my calculation in a conceptual way.
The model includes a nylon insert nut, a threaded rod, a washer and a...
1. Problem Statement
A uniformly charged rod of length L and total charge Q lies along the x-axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.)
(a) Find the components of the electric field at the point P on the y-axis a distance d from the origin...
As far as I understand a rod that has an angular velocity is static. Nonetheless, if we analyze a particle in the rod, this particle will be subject to a centripetal force that will be proportional both to the angular force and radius. Now I understand that the external forces and momenta...
Greetings community
An engineer came to me seeking help today. He asked me to determining the height of a lightning rod If the radius of the protection zone was given.
Assuming the roof of the building is completely flat, what would the height (h = ?) have to be for a given radius of 75...
Homework Statement
Hi all, need a little help on an electrostatic induction problem.
A positively charged metal rod is brought near to a neutral metal sphere. What is the charge of the metal sphere and the rod when the positively charged rod touches the neutral sphere.
Homework Equations...
Homework Statement
A thin rod of mass m = 1 kg and length l=1m is placed along the hypotenuse side of a wedge lying on a frictionless floor having mass M =5kg and angle 60° . At t= 0 the system is released from rest. Both the objects are free to move .Find the speed of the wedge when the rod...
Hi,
Can somebody give me the formula for pull force of ring magnet(permanent. not solenoid or electric) on a metal rod.
Also is the formula for pull force by a solenoid given below correct. If not let me know the correct one for the below.
Force = ((N x I)^2 x μ x A) / (2 x g^2)
N =...
Homework Statement
A rod of length L and made of conducting material is attached with a smaller non-conducting rod of length l to an axle, which is rotating at constant angular velocity ω (see attachment). Find the potential difference between the ends of the rod. Of what strength magnetic...
Homework Statement
A 1 m long rod, 200g, is hinged at one end and held out horizontally, then released. What is the speed if the tip of the rod as it hits the wall?Homework Equations
Initial energy = final energy
rotational energy = .5Iω^{2}
gravitational potential energy = mgh
kinetic energy...
I've attempted this problem several times and keep getting 14 rads as the answer but its not an available answer choice... any help would be greatly appreciated.
The problem:
A uniform rod (mass = 2.0 kg, length = 0.6 m) is free to rotate about a frictionless pivot at one end. The rod is...
I am looking into building my own fishing rod and am really lost on how to measure force exerted strictly on a pole as it bends. I think I'll have to use a strain gauge but I can't even find an equation to measure the force.
Can anyone provide the equation, variables, and sample problem...
Hello.
I'm having trouble with determining the dynamics of a rod, when one of the ends has a torque applied to it. I've illustrated it in the figure below:
There are no external forces except of the torque - so no gravity, drag etc. Also, the rod is assumed rigid. How will it behave...
Homework Statement
Homework Equations
The Attempt at a Solution
Applying conservation of angular momentum w.r.t center O
MvL/4 = (ML2/12+ML2/16)ω , where ω is the angular speed of (rod+spider)
This gives ω = (12v/7L)
The torque τ acting on the system when the spider is at distance 'r'...
I'm faced with a problem where I need to cut the length of the rod body on a tie rod, however, I need to prove that this modification will not affect the entire structure seeing as how the critical points of stress on a tie rod exist at the clevis and end rod. How would I go about proving that...
Homework Statement
A uniform rod of mass M and length L is placed vertically on a flat surface. The coefficient of friction between the rod and the surface is μ. The rod is beginning to fall, initially without slipping. To describe the motion of the rod during this stage:
(a) Write down the...
Hey everyone,
A meager pea brain (me) is in need of some help from you fine physics gentlemen.
This is a concept I've spend a lot of time pondering on (more than I would like to admit).
Imagine a rod of uniform density in free space. If you apply impulse onto the center of mass then it...
I always see in many books and articles. Glass rod is used for decantation. Why should we not pour the liquid just directly. I asked my chemistry teacher. She told me to experiment myself by decanting two identical heterogenous mixtures, one using a rod and other without one.
Please tell me...
I am trying to learn Physics an dI am reading a booK about classical mechanics.I a stuck somewhere in there If you know a gravitational force to a uniform rod I saw there a x and dx Why we need them ?
Thanks!
Homework Statement
Pic: http://i.imgur.com/Ny4YAKf.jpg
Rod has radius R, and mass M. Small mass has mass m.
I have to find gravitational force exerted on mass m by rod and potential energy of the whole thing.
Homework Equations
The Attempt at a Solution
So my idea is that...
Homework Statement
An iron rod of length L is hung at a common point with threads of length 'l' 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 is the least, and...
Homework Statement
Consider a uniform rod of mass 12kg and length 1.0m. At its end, the rod is attached to a fixed, friction-free pivot. Initially the rod is balanced vertically above the pivot and begins to fall (from rest) as shown in the diagram. Determine,
a) the angular acceleration of...
I was solving this paper, but got stuck on this question, and it's been bugging me endlessly. I don't know what I'm missing. Here's the question:
A rod of 20 dia is fixed to the ceiling of a roof on one end. A rotor of 50 kg mass is attached to the free end with bearings. The CG of the rotor...
am having difficulty in understanding this problem and frankly I don't know how to approach it, please assist on how to solve itThey say that an elastic rod is modeled as the half time[0,infinity). initially it is at rest. at the end point x=o, a force f(t) is applied then they give me the...
The Attempt at a Solution
Hello, I'm having trouble with energy in rotational motion. The question asks:
Consider a uniform rod of mass 12 kg and length 1.0 m. At its end, the rod is attached to a fixed, friction-free pivot. Initially the rod is balanced vertically above the pivot and begins...
Homework Statement
Part (a): Under what circumstances do these equations work?
Part (b): Find Temperature as a function of x, in steady state.
Part (c): Show heat loss is proportional to r^1.5
Part (d):Assume A = 0, show solution works, and find γ.Homework Equations
The Attempt at a Solution...