I am very confused about angular velocity ω and why its used in simple harmonic motion. ω is described as θ/τ but when it comes to masses on springs, there is no angle - it is zero. Angular velocity comes from circular motion but the motion of SHM is not circular. My confusion is even greater...
Homework Statement
So there are two rhinos chasing each other back and forth, Asha and her dad. What is Asha's total displacement at each point in increasing order(least to greatest)?[/B]
Asha's velocity is represented by II and her position at A:30, B:25, C:22, D:25, E:37. Homework...
1. The problem statement, all variables, and given/known data
A square of side 2 L is removed from one corner of a square sandwich that has sides of length L. The center of mass of the remainder of the sandwich moves from C to C’. The displacement of the y coordinate of the center of mass (from...
Hi. Maybe you can help me. I am reading history of physics, especially the moment when Maxwell completes Ampere's law with the displacement current. My doubts are about propagation in a vacuum.
1. Can I say that in an electromagnetic wave there are several undulating fields, one of them the...
I noticed the other day something odd in how we use Electric and Magnetic flux.
The definitions I refer to are magnetic flux density (B), magnetic flux intensity (H), electric displacement field (D) or Electric field density (D) and electric field (E):
B = μH
ΦB = B*Area
&
D = εE
ΦE = E*Area...
I want to test the accuracy a linear displacement sensor (Hall effect) that I have, but I'm not sure what to measure it against. The sensors are made to measure with a resolution of 10μm. My initial thought was to use a drill press to move up and down, but I don't think I know of any that are...
What exactly is the difference between a virtual displacement and a differential displacement? It seems like they are really the same thing if by differential we assume we are talking about a distance whose magnitude approaches zero.
Homework Statement
A string is attached to a block that can slide along a frictionless horizontal surface aligned along the x axis. The left end of the string is pulled over a pulley of negligible mass and friction at a height of 1.3m so that the block slides from x1=3m to x2=1m. The tension...
Hello, I was working on a worksheet. It gave a graph that was velocity vs. time. I was asked to find the acceleration rate for the given (specific) time in seconds. My first question is if the line on the graph for example is from 1-3 seconds, in that 1-3 second range, is acceleration constant...
Homework Statement
A goalie moves in a straight line and her velocity is described by the graph shown. How far away is the goalie at the time t=2.0 from where she was at t =0?
The description of the velocity/time graph:
initial velocity is 3.0 m/s and increases to 4.0 m/s in 1.2 seconds (slope...
Homework Statement
A uniform U-tube is partially filled with water (ρH20 = 1000 kg/m3). Oil, of density 750 kg/m3, is poured into the right arm until the water level in the left arm rises 30 mm. The length of the oil column is then: (Answer: 40mm)
Homework Equations
P = pgh
Pressure = density...
Homework Statement
A stone is thrown at 25m/s and at 37 degrees above the horizontal from a 20m high building. Take g=10m/s2
Let D be the displacement vector from launch point on top of the building to landing point on the ground, and v be the velocity vector on impact, what is the angle...
Homework Statement
In the figure below, a radar station detects an airplane approaching directly from the east. At first observation, the range to the plane is d1 = 412 m at 40° above the horizon. The airplane is tracked for another 123° in the vertical east–west plane, the range at final...
Homework Statement
[/B]
Question 3.9
Homework Equations
equation for dampened ocillation[/B]
The Attempt at a Solution
In case this might appear confusing, I derived(with respect to t) the equation for dampened oscillation given above and tried to solve for when it equaled zero expecting...
Homework Statement
A body of mass 1 kg moves so that at time ##t## seconds, its displacement is ##x## meters from a fixed origin. The body is acted upon by a force of ##\frac{\sqrt{x-1}}{v^2}## Newtons, where ##v## is the velocity in m/s. The body is initially at rest 1 meter North of the...
Hello all,
I am having hard time to know if the finite angular displacement really a scalar quantity?
In some books they say angular displacement when finite is Scalar and when infinitesimal small is Vector, with direction perpendicular to plane of circle government by right hand rule.
I...
<Moderator's note: Moved from a technical forum and therefore no template.>
A simple pendulum of length l (supported by a light, rigid rod) is released from rest at a small angle to the upward vertical.
Show that the time taken for the angular displacement to increase by a factor of 10 is...
Homework Statement
I want to find the maximum displacement of block A in the left direction
Homework EquationsThe Attempt at a Solution
I first found the velocities of both blocks after the bullet escapes with 100m/s by using the impulse-momentum theorem.
I then applied the work-energy...
Homework Statement
I start walking. The first leg of my trip I walk 65 meters at 5 degrees south of east. The second leg of my trip I walk 75 meters at 18 degrees north of east. The final leg of my trip I walk 95 meters at 69.5 degrees north of west. Choose the coordinate system so that x is...
A mass of 0.3 kg is suspended from a spring of stiffness 200 N m–1. If the mass is displaced by 10 mm from its equilibrium position and released, for the resulting vibration:Plot a graph of acceleration against displacement (x) (for values of x from x = –10 mm to x = +10 mm)
Hugely struggling...
Homework Statement
Use the following information to construct any necessary graphs to help you complete the next four questions.
Martha leaves her house and drives with a constant velocity due east at 15 m/s for 85 seconds. She realizes she forgot something at home and stops the car in 6.5...
Homework Statement
An object starts from rest and uniformly acquires a velocity of 20.0 m/s in 5.0 minutes. For the next 10. minutes the object moves with a constant speed. After 10. minutes moving at 20. m/s the object then again accelerates and reaches a speed of 15 m/s in the opposite...
So I know that the relationship between the crank throw and the stroke of a non-offset CSM is S=2R. But then I realized that when offset is introduced, the stroke length changes just a little. So I spend some time drawing diagrams and then found out that the maximum piston position for any CSM...
Homework Statement
Homework Equations
I know that I probably need to use s=vit+1/2at2, however, I'm having trouble properly applying it
The Attempt at a Solution
I know that part A is 20m/s and then 5m/s. I know this is an easy problem and I'm actually 2 chapters ahead. For some reason, I...
Homework Statement
I'd like to understand Drag Force better; but school always ignores it. Thus, I'm asking this purely out of obssession. I'm picturing a scenario where a non-constant force is pushing an object horizontally, ignoring friction. But, I'd like to understand how Drag Force...
Homework Statement
With a function that gives Force with respect to Displacement (F(x) = 2000-100x), is there a way to find a general formula for the time it takes from displacement 0 to 20? The force is acting on an object, pushing it horizontally. Assume no friction and no air resistance...
To calculate the displacement current in a coaxial cable (with equal and opposite currents on the inner and outer conductors), most standard texts use the magnetoquasistatic approximation, which ignores the time-varying electric field term in Ampere’s Law.
Using this approximation, the...
Homework Statement
The problem is, calculate the energy and displacement of the structure. What is the displacement (y) in the middle of the beam? See drawing and variables in attached PDF file.
Homework Equations
See PDF file.
Important: To form the moment function M(x), I use delta...
Homework Statement
Homework EquationsThe Attempt at a Solution
I am a little confused by the wording of the textbook solution.
from the solution, the displacement at the end C of the rod = the displacement of C relative to the fixed end A,
why not the displacement of C relative to the fixed...
I'm trying to calculate the displacement d of a plane as it accelerates towards lift-off velocity.
The acceleration is given by the function a = a0 - kv2 where a0 is the constant acceleration from the plane's engine and the term -kv2 is caused by air resistance.
I can't seem to find a way to...
This is something I've always wondered and I have never taught about this at school so I leave a thread on this forum.
I know that displacement = the mass of the object, but I don't quite get this concept.
For example, if you have a kilogram of gold and a kilogram of iron and put them in...
Homework Statement
Suppose we have a roller coaster cart of mass m, which may be approximated as a point mass for our purposes. Ignoring friction and air-drag, what is the displacement of the cart as a function of time? It enters the loop with an initial velocity $$ v_0 \hat i $$ and the radius...
Homework Statement
Given:
x=9sin2t +16cos2t+100
The problem asks me for the maximum acceleration and the maximum velocity.
Homework Equations
dx/dt=v
dv/dt=a
The Attempt at a Solution
The problem asks me for the maximum acceleration and the maximum velocity. To find the maximum velocity, i...
Homework Statement
A new Tesla is designed that can perform a non-constant acceleration for 10 seconds of motion. The magnitude of the acceleration is given as a(t) = 1 m/s4t2
Starting from rest, how far does the car travel over this 10 second interval?
Homework Equations
This is what is...
Homework Statement
In this question , the author doesn't stated which direction ( either horozintal support of the pinned E or the vertical support force at pinned E to be selected as redundant ) . So , I tried this problem by applying the vertical force support at E as redundant .Homework...
Homework Statement
http://imgur.com/a/k7fwG
Find the vector magnetic potential at point P1.
Homework Equations
Vector magnetic potential given by:
$$
d \bar{A} = \frac{\mu I d\bar{l'}}{4 \pi | \bar{r} - \bar{r'} | }
$$
The Attempt at a Solution
I split up the problem in 3 parts,
first...
Homework Statement
I have ##E(w)=w^3(e^{\beta\bar{h}w}-1)^{-1}##,
where ##\beta=K_{B}T##, ##K_{B}## boltzman constantHomework Equations
Need to solve ##\frac{dE(w)}{dw}=0##
The Attempt at a Solution
[/B]
##k=\beta\bar{h}##...
Homework Statement
The velocity of an object moving along the x-axis is given by Vx = (2.0t-t2)m/s. Initially (at t=0), the object was at the origin.
a) Determine the object's acceleration at t=3.0s.
b) Find the object's position at t=3.0s
c) Calculate the object's maximum positive...
Homework Statement
A softball is hit with an initial velocity of 29 m/s. at an angle of 60 degrees above the horizontal and impacts the top of the outfield fence 5s later. Assuming the initial height of the softball was .5 m above (level) ground, what are the balls horizontal and vertical...
Homework Statement
A capacitor is made of two parallel plates of area A, separation d. It is being charged by an AC source. Show that the displacement current inside the capacitor is the same as the conduction current.
Homework Equations
Idisp = ε(dΦE/dt)
Q = CV
C = Aε/d
Xc = 1/(2πƒC)
Q(t)...
Hey guys, I'm wondering why the displacement of the mass mounted in this setup is 2(x1+x2)?. I'm assuming that when the pulley rotates(when the mass is pulled downwards) the distance between the initial point and the end point of its center and the distance traveled by the mass are equal...
Homework Statement
A small coil of wire is situated in a non-uniform magnetic field. The coil consists of 40 turns of wire and moves with a constant speed in a straight line. The coil has displacement x from a fixed point P. The variation with x of the magnetic flux in the coil is shown in the...
Homework Statement
Hi,
I was wondering if anybody has an idea how to divide the forces on this structure to get the dispacement of the node 4.
2. Formulas
I would like to solve this task by superpositioning forces working on different elements of the construction. (note different EI)
using...
Homework Statement
Hello PF,
I need some help with the assignment given:
v=18-2t^2 m/s, where t is in second. When t= 0 the position of the particle is s_0 = - 3 m.
For the first 5 seconds.
Determine the total distance ( i got it to 65,33 ft) and the net displacement Δs, and the value of s at...
Homework Statement
I know that when the 80kN act on B , the frame will be dispalced by Δ1 to the right .. When the 40kN act on C , the frame will be displaced Δ2 to the right ... Why the author use Δ1 + Δ2 for C ?
Homework EquationsThe Attempt at a Solution
Is the author wrong ? I think the...
Okay, so I have just started with simple harmonic motion(SHM).
So the equation of displacement in my textbook is given as:
X= ACos(wt +x)
where A is the amplitude
X is displacememt from mean position at time t
w is angular frequency
x is phase constant...
Homework Statement
A plane flies 413 km east from city A to city B in 49.0 min and then 814 km south from city B to city C in 1.70 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and...
Homework Statement
For the circled part , how to get the +1.33 , -1.67 , +1 ? What are they ? Are they the µ ?
Homework EquationsThe Attempt at a Solution
What is µ ? How to get the value ? It's not stated in my book though