Question: Suppose that two bodies of masses m1 and m2 are a fixed distance d apart, and that both of them act on a third body of mass m. Find the position of the third body such that the two forces are in equilibrium.
I have solved this question and obtained the answer listed in the back of the...
My question is whether I've formed the integral for the work done correctly? It just seems a bit unwieldy to me...
If I call the extension of the spring ## x ##, I can see that ## z = \frac l 2 + x ## and ## z^2 = \left( \frac {l} {2} \right)^2 + y^2 ##. Combining them gives: $$ x = \sqrt {y^2...
This is SAMPLE PROBLEM 25-7 from "Physics" by Resnik, Halliday, and Krane, in the chapter "Electric Field and Coulomb's Law".
After describing the behavior of uniformly charged spherical shells:
follows a sample problem:
The solution to (a) goes to say that the volume inside R/2 is 1/8 of the...
As the observer is moving, there will be a magnetic force.
Electric Field of the Rod = λ/2πεr r̂
Electric Force on the Point Charge = qλ/2πεr r̂
Magnetic Force on the Point Charge = q(vxB) = qvB n̂ = qv(µI/2πr) n̂ = qv(µλv/2πr) n̂
= µqλv²/2πr n̂
Total Force = Electric Force + Magnetic Force
I initially tried to solve this equation using work, but was stuck in a confusing integral that didn't make sense. I am almost sure that the utilization of energy is needed to solve this equation, but I have been flustered for the past three days at solving this.
This question states that the normal force of the stairs on the woman does NO work. I do not understand how this can be. I would reason like this:
The woman propels herself up the stairs using her legs. Her legs push down against the stairs, and the consequent normal force pushes upwards on her...
The mass of the bike and person is 190kg
Calculate the average accelerating force from X to Y, if the bike has a velocity of 30 at point Y.
I am struggling with this question, I know that Fx = Work Done, but I also know that the only way to release GPE as KE is for gravity to do positive work on...
[Mentor Note: See post #10 below for an updated problem statement using LaTeX and with a better drawing]
what i want is to find the axis of rotation when the centre of gravity and point on which external force is acting is given along with the magnitude and direction of force. In the example...
Suppose a person is walking on the ground without slipping. For the free body diagram of just the person, only the frictional force is drawn in the horizontal direction. The force exerted by the leg muscles to generate a force against the ground is considered an internal force. What would be the...
Hi all, i'm the proud owner of a 1972 VW T2 Danbury Pop top campervan. Out of the factory these were fitted with 4 x long spring loaded struts which (when new) provided some lifting power to pop the roof up. Mine are now 50 years old and provide no assistance lifting / holding the roof in...
i have a question. I have set up an expierment and need some values.
I have a round, 3d printed disk, 0.25 inches thick and 4 inches in diameter. In the center, i have a eye-bolt attached. I have hooked up a chain to the eyebolt and some weight to the chain.
I have 40Lbs hanging right now and...
Two rotating cylinders are held in contact by a force F1. The force is applied through the center of one of the cylinders. One cylinder is the driving cylinder and the other is the driven cylinder .
Does the moment of inertia of the system depends on the force contact force F1? Why?
And...
Hey!
I want to determine what bearings to use for this manual crane and the only thing i know is that it should be able to lift a wieght of 1000kg at max and that the winch should pull 1.24 m of cable/min. Im looking to find the force P to then determine C, and i think P is only the radial force...
The answer is (D), but I don't understand why.
Option (A) is wrong because the work done = 0. Then, I divide the motion into 3 parts:
1) motion on snowy surface
Since the sledge is being pulled horizontally (let assume to the right), there will be tension force T to the right and friction...
Hello all,
This is my first post so please be gentle with me..
I'm trying to work my way through some tricky questions so will post them below and see if anyone can give me some pointers.
The questions are:
A car weighs 1305kgs and accelerates from 0 to 160km/h in 4.2s. The first question asked...
There are a couple of problems with the same setup. On plugging in the values and solving for the integral, I am not getting the expected values of the force. Is there something wrong in the solution attached?
Knowing that negative work occurs when the force applied to an object opposes the direction of displacement, and that the direction of acceleration vector should align with the force vector, I assumed the correct answer was that the indication of negative work comes from negative acceleration...
When you study physics deeper you learn there are 4 types of atomic forces that represent all other in the atomic level (i.e. electromagnetic force, gravitational force, strong nuclear force, weak nuclear force).
I always try to see how they manifest in the the atomic interactions. For example...
Not homework and I'm not a Mech Eng. I was trying to follow a discussion elsewhere about a building foundation that involved 2.75" diameter steel bolts. Two nuts are locked together on the bolt and embedded in concrete. Threads of the bolt itself are sleeved so only the nuts are anchored into...
The mathematical representation of the net external force on a system(obtained from Newton's second law) is ##\vec F_{net} = \frac {d\vec P}{dt}##, which is the rate of change of linear momentum of the system. If we substitute ##\vec P = m\vec v## into the formula for force and differentiate, we...
A) I just did what it said to do:
$$\sin\left(4x_{1}\right)=1\implies x_{1}=\frac{\arcsin\left(1\right)}{4}\ m=\frac{\pi}{8}\ m\approx 0.392699081699\ m$$
B) I modified the method from an example from the lecture the other week:
$$U\left(x\right)=-\int...
Background:
is the equation of Lorentz force for the force acting on a moving charge in electric and magnetic field.
For the magnetic field only it is : F=qv×B.
Question:
For magnetic field only why is the force not F=q(v×B) = F=qv×qB
For this task, we are meant to immerse objects (held by a mesh) in water to measure the buoyant force and deduce the object densities.
We can measure the weight force of the object, ##F_g##, and tension T and buoyancy force. We need to find the downward force on the immersed object, ##F_i##...
TL;DR Summary: Solar sytem forces on Unity
Hello !
For my last year in my school, I've got a project to do, and I wanted to recreate the Solar system with forces on Unity. My forces are Velocity and Acceleration (I'm using the Frenet's formulas).
I'm sorry I'm not a physicist and that's why...
M= F x d at layer 7, layers 8 - 12 has its centre of mass at middle of layer 10, which is where the weight of these layers would be acting. Not sure hoe to determine whether it would topple
If these point charges were placed in vacuum without any spherical shells in the picture, then the force between these charges would be ##F =\dfrac { k q_1 q_2} {d^2}##.
But, I am unable to reason how spherical shells would alter the force between them.
I do know that if charges were on the...
Disclaimer: Please read in the following formulas ##E/c^2## instead of ##m##, because W. Rindler used relativistic mass, what might be confusing with today's usage of the term "mass".
I am reading the chapter "38. The formal structure of Maxwell's theory" in Wolfgang Rinder's book "Introduction...
The situation is as follows. We have two disk magnets. One is fixed on the ground, table, or surface and has the north pole facing up. Then we have a metal plate fixed on the vertical axis rod or something similar such that it can't move up or down, but only rotate horizontally with as less...
The components of the force of 800 lb F along the non-perpendicular axes Get a, b. Also determine the image F on the axes a, b
could some one help me how to resolve forces non-perpendicular.And also what is the meaning of image F one the a,b axes
What is the acceleration of the box? Paper says the answer is 4 m/s2.
What is the Normal force acting on the box? Paper says the answer is 418 N.
I know that for most cases FN=Fg=W. So, by definition the "original" Normal force is 245.25 N (am I correct?)
I calculated the Fay which is...
Determine the amount and type (tensile or compressive) of the spring force so that the resulting force is a vertical force. Also get the resultant force.
i find 60N (compressive)
and resultant forces is 10800
is that correct?
if an object of 100kg is moved or lifted to a distance of 1m taken 5s, then how can i find the amount of force applied to the object.
in every problem i noticed, force value is given to find the Workdone and the Power.
I think it is simple problem, but i can't find it simple. can anyone clear...
Member CB of the vise shown exerts on block B a force P directed along line CB. Knowing that P must have a (1237) N horizontal component, determine (a) the magnitude of the force P, (b) its vertical component
i don't get it what the "N horizontal component"
This might sound as a dumb and silly question but if you think about it, it makes sense. If we wrongly assume that gravity is a force just like any other, and given the fact that time is closely related to gravity and that gravitational time dilation is a thing, wouldn't reverse time travel...
If I know a person has exerted total force F with their legs and I’m interested in breaking down said force in smaller forces exerted for each involved muscle group - how can I do it? With a basic level of understanding of human anatomy I can divide the leg as a series of levers but how can I...
I'm curious about impact on falling object, so i have taken initiative to solve this problem.
I considered only force on the falling object would be its weight and taken F=mg. With only limited data m=.25kg and drop height h=1m.
Pondering on this consideration practically, it will have more...
For part (b),
The solution is
However, is there really an infinite number of pairs physically speaking? It would be very hard, say, vary the force applied by ##0.0000001N## for example.
Many thanks!
This is a tricky and difficult question for me. I know from reading various textbooks that electric lines of force are always continuous without breaks, but cannot pinpoint a reason for this.
The only reason I can come up is that an electric line of force must always begin and end on charges...
so with a Hall Voltage, you have positive current traveling upwards in a wire in the +y-direction and a magnetic field into the screen in the -z-direction. the right hand rule has positive charge deflecting to the left. now if you look at the drift velocity of electrons moving downward in the...
The the electric field inside decreases due to the presence of a dielectric by a factor of dielectric constant K. Hence the force between the plates will decrease.
Is this right?
Picture below. Both bodies are made of same material but the body placed in water had 2.4 times greater mass. What is the relationship between buoyancy Force and gravitational force between body in water and body in air?I have no clue how to solve this.
I know that body with greater mass has 2.4...
Hello again!
I've found the capybara's EMA to be 0.71. Their mass to be 55kg. And their average speed to be ~3.0km/h.
I want to figure out how many capybaras it would take to overcome Friction * Normal force of ~125,000N. How would I go about doing that...