Rod Definition and 1000 Threads

Homework Statement A thin rod carries a charge Q distributed uniformly over its length L , and is situated on the x-axis between x=±L/2. Find the electric field at an arbitrary point (x, y). (You will have to do separate integrals for the x and y components.) Homework Equations ∫dE=∫kdq/r2...

Homework Statement A thin rod of length 2ℓ has a linear charge density that is λ0 at the left end but decreases linearly with distance going from left to right in such a way that the charge on the entire rod is zero. What is the magnitude of the electric field along the rod's axis at a...

I'm totally confused what the question is asking. I do not know how to start... please help A charged sphere with 1×108 units of negative charge is brought near a neutral metal rod. The half of the rod closer to the sphere has a surplus charge of 2×10^4 units. What is the magnitude of the...

Homework Statement Consider the following classic problem: we have a rod in the vertical position with a pivot at its midpoint and a spring attached to the bottom of the rod, perpendicular to the rod. The is rotated through a small angle theta to the vertical, and released. Find the period of...

Homework Statement Consider a massless rod of length $L$ with a small mass $m1$ attached on one end, and $m2$ attached on the other end. The rod is initially in the vertical position at rest on a frictionless surface, with $m1$ on bottom and $m2$ on top. A small impulse is applied to the top...

Unsure which dimensions to use to work out the force and strain energy here. I know that Force = yield strength * area Yield strength = 310 MPa Area, I'm unsure which radius to use. I assume 12 mm. For strain energy = (Force^2 * Length)/(2 * Area * Youngs Modulus) Unsure which length and...

A rod and Cylinder with a same axis of rotation relative to its body have different rotational inertia equation. WHY? Thanks in advanced.

1. The Question Unable to find the work done by spring on the object sliding down the rod as shown below: Homework Equations Work Done by Spring Force : -1/2 * KΔx2 --(1) where k = Spring Constant Δx = Change in Spring Length[/B] 3. Where the problem occurred While seeing the solution...

How would one go about finding the center of mass of a non-uniform rod when its cross-section has been modeling using a piecewise-defined function? For a specific case let's use a drumstick, noting its volume as a sum of half of a sphere (the 'butt' end), a cylinder (the 'shaft'), the majority...

Homework Statement A uniform rod AB of length L and mass m1 is connected by a pin joint to the center of a uniform disc of radius R and mass m2. The system is placed in a vertical plane (as shown in Figure 2) and released from rest with θ=45°. (a) Draw the free-body diagrams for the rod and the...

Hello guys! I hope you can give me a hand with this one Homework Statement A satellite consisting of two masses attached by a rigid-massless rod of length L, are orbiting around the Earth at a distance R from the centre of the earth. During the entire movement the rod stays oriented in the...

Hello! :) When solving a problem, I had to calculate the angular velocity of a homogenius rod when it comes to vertical position, after being released from a horisontal position (the rod is fixed at one end). This is as usually done with energy conservation, using the rotational energy of the...

Suppose you have a weightless rod with at the endpoints two masses. This is a special rod whose length varies in time as a function L(t). If I consider this rod in free fall my intuition is that this rod will rotate for suitable L(t). However, I want to write down the equations of motions for...

Hello,I have a setup which has a flexible rod that is rotated by a motor. The motor has encoder unit on it which gives the position in quad counts. This we can easily convert to degrees or radians. I have made many tests and the readings are perfect. So I used the plot of the position values and...

Homework Statement An otherwise free metal rod of length L = 67-cm is clamped at a point L/18 from one end. A standing wave is set up on the rod. What is its longest possible wavelength? The Attempt at a Solution where do I go wrong? thanks

Homework Statement A thin rod, 0.79 m long, is pivoted such that it hangs vertically from one end. You want to hit the free end of the rod just hard enough to get the rod to swing all the way up and over the pivot. How fast do you have to make the end go? Homework Equations P(change in...

Homework Statement At the instant shown, the rod R is rotating about its centre of rotation with ω=3.8rad/s. mA=10kg; The pulley, with mP=8.7kg and RP=0.2m, may be modeled as a uniform disc. The rod, with mR=4.1kg and L=0.8m, may be modeled as a thin beam rotating about one end. g=9.8m/s ²...

Homework Statement the metal rod is supported by another metal rod at one end . The metal rod is supported by another metal rod at the end. so , the direction of tension of metal rod is acted upward , right ?( this is the initial prediction) But , i was told that the tension that we get from...

I purchased this car new 2013, 29,999 miles and the dealer has been the only one who worked on it. We use synthic oil. After driving the last 100 mile at 60 mph the engine stopped. I had it towed to the dealership. The lower end of #4 con rod was sticking out of the Aluminum block. The...

Homework Statement Homework EquationsThe Attempt at a Solution When string joining B is burnt , the forces acting on the rod are its weight , and tension in the left string ,both being vertical ,the acceleration of its COM would be vertical . Hence option A is correct . Now how should...

Multiple_Authors submitted a new PF Insights post Can I Send a Signal Faster than Light by Pushing a Rigid Rod? Continue reading the Original PF Insights Post.

Homework Statement Homework EquationsThe Attempt at a Solution If I interpret "magnitude of displacement of CM per sec " as Velocity of CM ,then Horizontal Impulse provided to the rod = J ##J = MV_{cm}## Angular impulse about the CM = JL/2 ##\frac{JL}{2} = I \omega ## ,where ##I =...

Homework Statement A plastic rod 1.9 m long is rubbed all over with wool, and acquires a charge of -6e-08 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the x-axis extending to the right, the y-axis extending up, and the z-axis out of the page. In...

I had a question. If a glass rod, with a charge of 5.4x108 C touched another insulator so that all of the excess electrons are shared equally. What would the final charge on the rod be? I don't understand how to reach the answer of 2.7 x108 C. Thanks in advance. :)

Homework Statement Homework EquationsThe Attempt at a Solution This is problem I have found online and this is the part I don't understand how they come up with this. How did they get this for the x component since y component cancel out due to being symmetry ?

Homework Statement a metal rod of length "L",cross sectional area "A",young modulus "Y" and coefficient of linear expansion "α " is heated to "t" degree celsius .The work that can be performed by the rod when heated is Homework Equations work done by rod when heated=1/2 force exerted by...

In gold leaf electroscope from the following video I have a doubt From time 2:11 to 2:14 flow of negative charge i.e flow of electron won't it cause current?

Homework Statement A rod of length L is fixed at one end, and rotates in the X-Y plane with angular velocity ω. (To be clear, it is sweeping out an area of ##π (L/2)^{2}##.) A bead starts at position ##r(0)=L/2## with ##\dot{r}(0)=0##. Find ##r(t)## and the time it takes for the bead to fly...

Homework Statement Find potential of a uniformly charged rod of length 2a Homework Equations -Superposition The Attempt at a Solution dV=\frac{kλdx}{r}, r=x V=λk\int\limits_{-a}^a \frac{1}{x}\mathrm dx=0 Potential at point B is zero. Is this correct?

A rod is radially mounted on a motor shaft and provided with a flat end plate. By turning movement, the end plate will touch a pointed object, and the angle turned is measured.By the torque of the motor during acceleration and deceleration, a vibration and deflection happens on the rod. The...

Homework Statement Use the principle of moments and take moments about A to show that the weight of the object O is 19 N.Homework Equations Moment=Force x perpendicular distance The Attempt at a Solution Vertical component of tension= TsinA...

Homework Statement Given: ##\mu_B=0.52## ##\theta=30^{\circ}## Weight- ##25## lb ##\omega=0## ## l=6## ft ##r_c=3\sqrt 2## radius of curvature. Homework Equations My Equations of motion are the following: ##\xleftarrow{+}\sum F_x=N_A\sin 60 - F_B=0## ##\downarrow{+} \sum F_y= N_A \cos...

Homework Statement A student designs an experiment to measure how electrically charged a plastic rod is. She knows a charged rod will deflect a stream of water from a tap. The student plans to measure the angle of defection of the water stream when she brings the rod towards it. She expects...

Homework Statement a) 21.4-nC of charge is placed on a 4.8-m long steel tube with a d = 5.9-cm diameter. What is the magnitude of the electric field as a radial distance of r = d / 3? b) What is the magnitude of the electric field as a radial distance of r = 20 d? I was able to determine the...

Homework Statement A rod of length L hangs on a nail. a ball of mass m hits and sticks to it. the rod rotates to angle θ. What is the velocity of the ball and what's the loss of energy. Homework Equations Kinetic energy of a rigid body: ##E=\frac{1}{2}I\omega^2## Angular momentum...

Homework Statement Two long rods with distance between them a=100mm, over those two rods there's another rod sliding, friction between them is negligible. The rods are placed in homogenous magnetic field whose B is equal 1T, with direction shown in the picture, between the rods there is voltage...

Homework Statement A) Determine the value of the angle θ (measured from vertical) when the angular velocity of link AB a maximum. B) What is the maximum angular velocity of link AB. Homework EquationsThe Attempt at a Solution This is a part of a bigger question. I've managed to answer all...

Homework Statement A thin rod of mass 0.620 kg and length 1.08 m is at rest, hanging vertically from a strong, fixed hinge at its top end. Suddenly, a horizontal impulsive force (14.2 i ) N is applied to it. (a) Suppose the force acts at the bottom end of the rod. Find the acceleration of its...

Why does tension across a rod rotating horizontally vary when it is rotating about one end?

Homework Statement the difference in length between an aluminium rod and a copper rof at 0 degreeC is 2cm. If they have the same difference in length at any temperature difference, what are the length of the 2 rods at 0 degreeC.? Al - expansivity = 20*10^-4 K^-1 Cu- expansivity= 15*10^-6 K^-1...

Homework Statement A rod of length L and mass m which is free to rotate round it's edge is held, initially, horizontally. What are: the angular velocity and acceleration at angle θ The force at the nail (the axis) Homework Equations Torque and moment of inertia: ##M=I\alpha## The Attempt at...

Homework Statement A rod of mass M and length L is in the initial position at angle θ and pivoted at the lower end. It is released and at arriving to the equilibrium state it hits elastically a mass m that slides on a surface with the friction coefficient ##\frac{\mu}{L}x## What's the angular...

<< Mentors have notified the OP to show their Attempt at a Solution >>[/color] 1. Homework Statement A uniform rod of length L1 = 1.5 m and mass M = 2.8 kg is supported by a hinge at one end and is free to rotate in the vertical plane. The rod is released from rest in the position shown. A...

Homework Statement A uniform rod AB of length 3R weight W rests inside a hemispherical bowl with radius of R. Determine the angle corresponding to equilibrium. Homework EquationsThe Attempt at a Solution [/B] Moment about A: -1.5R*mg cos(theta)+B*AB=0 Sum Fx: Acos(theta)-mg sin(theta)=0 Sum...

Homework Statement Find electric potential at a center of charged rod with charge 'Q' and length '2a' if referent point is at infinity. Homework Equations Electric potential of a point charge: V=kQ/r Electric potential via electric field: integral (Edl) The Attempt at a Solution I used...

Homework Statement I am having a hard time understanding where to begin with this problem. Here it is: Consider a thin rod of length L and constant density n that lies on the x-axis with endpoints at x=0 and x=L. (i) Find a formula for the gravitational potential Φ = Φ(x) at the (variable)...

Homework Statement A uniform rod of mass 3.15×10−2kg and length 0.380m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.250kg , are mounted so that they can slide along the rod. They are initially held by catches...

Why the Shapiro time delay is calculated with respect to the difference in coordinates and not with respect to the physical distance? I follow the discussion of Clifford (Theory and Experiment in Gravitational Physics) which uses isotropic coordinates and PPN approximation. To make more clear my...

Homework Statement What is the Moment of inertia of rod about an axis inclined? It is given as ## \frac{ML^2sin^2θ}{12} ## but how? Homework Equations I know MOI for axis passing through center along y-axis as ## \frac{ML^2}{12} ## The Attempt at a Solution Shouldn't it be ## \frac{ML^2}{12}...

Hello Every one I want to know how the pressure applied at a particular point on a rod will be equally divided underneath of the rod. What materials are good to achieve this kind of situation?