Cylinder Definition and 1000 Threads

Homework Statement what's the difference between case a (photo 1&2) and case b (photo 3 ) ? what can't i use the way of doing case b for case a? p/s : my own working for case a in photo 4 Homework Equations The Attempt at a Solution

Homework Statement Verify the divergence theorem if \textbf{F} = <1-x^{2}, -y^{2}, z > for a solid cylinder of radius 1 that lies between the planes z=0 and z=2. Homework Equations Divergence theorem The Attempt at a Solution I can do the triple integral part no problem. Where I...

Homework Statement 5. A large cylinder with a diameter of 3.00 m and a height of 3.50 m is closed at the upper end and open at the lower end. It is lowered from air into sea water with the air initially at 20.0°C and then to a depth of 75.0 m. At this depth the water temperature is 4.0°C, and...

Homework Statement Two identical uniform cylinders of radius R each are placed on top of each other next to a wall as shown. After a disturbance, the bottom cylinder slightly moves to the right and the system comes into motion. Find the maximum subsequent speed of the bottom cylinder. Neglect...

Attachments Figure # 1 Figure # 2 reproduced from http://www.lmnoeng.com/Volume/InclinedCyl.htmhttp://www.lmnoeng.com/Volume/InclinedCyl.htm Description The blue is the mass inside a cylinder. In steady condition, I would want to know where its Center of gravity point shall be from either of...

Homework Statement How could I express a parametric formula for a right circular cylinder centered at (-2, 10, 3)? with radius 3 and length 12 Homework Equations Parametric equations for a right circular cylinder are: x=rcosΘ y=rsinθ z = h The Attempt at a Solution Not sure...

Thanks in advance! I have problem that is causing me a headache to no end. In a cylinder, if one knows the total volume of cylinder and total volume of fluid in said cylinder, how would the height of this fluid be computed? I have no problems calculating volumes based on height, but the other...

Say I have a plane, and it intersects with a [edited]cylinder*. What kind of method should I use to go about solving this? I've tried setting up a ##\int \int dA## situation, but wasn't sure that was applicable because it's in 3-space (also my plane is in terms of x y and z). I know it's...

Homework Statement A uniform linear charge of λ is located along the z axis, and concentric circular cylinder of radius 2 [m] has a surface distribution charge of α . both distributions are infinite, the distribution of linear charge is contained in the interior of the circular cylinder as...

A uniform linear charge of λ is located along the z axis, and concentric circular cylinder of radius 2 [m] has a surface distribution charge of α . both distributions are infinite, the distribution of linear charge is contained in the interior of the circular cylinder as shown image. λ =...

Homework Statement I'll provide picture for clearer understanding. The solid cylinder of mass ##m## and radius ##r## revolves about its geometric axis at an angular rate ##p## rad/s. Simultaneously, the bracket and shaft revolve about x-axis at the rate ##\omega## rad/s. Determine the angular...

The tension in the rope is actually being provided by a solid sphere with radius 23.5 cm that rolls down an incline as shown in the figure. The incline makes an angle of 32° with the vertical. The end of the rope is attached to a yoke that runs through the center of the sphere, parallel to the...

Homework Statement Find the mass of the piece of a cylinder x^2 + y^2 =1 that lies in the first octant above z=0 and below z=1-x. The density is D=x.Homework Equations The Attempt at a Solution I set up this integral: \int^{\pi/2}_{0} \int^{1}_{0} \int^{1-rcos\theta}_{0} r^{2}cos\theta dz dr...

Homework Statement I am providing a solution up to the point when I'm having a little issue with defining the generalized force. An eccentrically hollow cylinder of radius r rolls down a plane of inclination angle \alpha. Inside the cylinder, there is a cylinder-shaped hole of radius...

As the title says, what is the electric potential of a metal cylinder? If I am missing any variables, which variables do I need? My little brother asked me this but I don't want to turn up short-handed. I'm not really a physics guy

Homework Statement A horizontal 845.0 N merry-go-round with a radius of 4.3 m is started from rest by a constant horizontal force of 74.0 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.2 s. Assume it is a solid cylinder. The...

Homework Statement A thin-walled pipe with mass M and radius R (moment of inertia MR2) rolls without slipping on a horizontal surface. Inside the pipe, a solid cylinder of mass m and radius r (moment of inertia (1/2)mr2) also rolls without slipping under gravity. ##\alpha## and ##\phi## are...

Hi all, I just have a troublesome time wrapping my head around the concept of moment of inertia of a cylinder inside a cylinder. For example, in the attached figure The moment of inertia of the cylinder with radius 'r' around the point o, according to my understanding should be I_o = I_s+...

How to calculate the thermal conductance ( in axial direction ) of a cylinder having length equal to its radius

Any idea how to approach finding the self energy of an infinitely long, thin insulating cylinder. It's got linear charge density so I can probably express the self energy as energy/length. I just don't know how to approach it.

two cylinder conected, by two roads, rolling down an inclined plane. Find equation of motion and tension of roads. I know that the lagrangian is: 0.5 m \dot{x}^2+0.5 I_1 \dot{\theta}^2++0.5 I_1 \dot{\theta}^2+mgx\sin \alpha + mg(x+l)\sin \alpha ¿ is good my lagrangian?, ¿how is present...

Homework Statement A light cylindrical vessel of radius r is kept on a rough horizontal surface with sufficient friction so that it cannot slide but can topple. It is filled with water up to a height 2h and a small hole of area a is punched in it so that the water coming out of it falls at the...

¿The post office has established that the length and the outline of any parcel may exceed the 100 cm. under such restriction find the dimensions for: 299) circular cylinder straight greater possible surface. Answer R = 50/(2pi-1) H= 100(pi-1)/(2pi-1) 301) rectangular box of square base of...

Homework Statement A very long solid cylinder of radius R = 4.2 cm has a non-uniform volume charge density along its radial dimension, given by the function ρ = Ar2, where A = +2.2 µC/m5. a)How much total charge is contained on a 1 m length of this cylinder? b)Outside: What is the...

εHomework Statement A very long solid cylinder of radius R = 6 cm has: -uniform volume charge density ρ = +7 µC/m3. -linear charge density λ = 7.9168E-8 C/m Outside: What is the electric field at a radial distance of 7 cm from the axis of the cylinder? Inside: What is the electric field...

In a cone circular line of 15 cm in height and radius 5 cm fits a body cylindrical topped by 1 hemisphere tangent to the base of the cone. Calculate the height and radius of Ia part cylindrical if the volume of the registered body is the largest possible Answer R = H = 3 cm V= pir^2h/3 cone...

Homework Statement Hi The stream function for a cylinder with radius a in a uniform crosswind is given by (https://en.wikipedia.org/wiki/Potential_flow_around_a_circular_cylinder#Stream_function) \psi = Ur \sin(1-a^2/r^2) How does one show this formally?

Homework Statement A uniform, solid cylinder of mass M = 4.22 kg and radius R = 0.36 m with I=1/2(M*R^2) is attached at its axle to a string. The string is wrapped around a small frictionless pulley (I=0) and is attached to a hanging block of mass 1.69 kg. You release the objects from rest...

Hey guys im planing on buying this single acting spring loaded cylinder with specs BORE, 1 1/2" STROKE, 5" PORT, 1/4" NPT ROD DIAMETER, 1/2" ROD THREADS, MALE 1/2"-20, THREADS ARE 1 3/4" LONG If i supply it with air at 100 psi what force would it generate ? and how far can it throw a body...

Homework Statement A long conducting cylinder bearing a charge \lambda per unit length is oriented parallel to a grounded conducting plane of infinite extent. The axis of the cylinder is at distance x_0 from the plane, and the radius of the cylinder is a . Find the location of the line...

Homework Statement Exactly one turn of a flexible rope with mass m is wrapped around a uniform cylinder with mass M and radius R. The cylinder rotates without friction about a horizontal axle along the cylinder axis. One end of the rope is attached to the cylinder. The cylinder starts with...

Homework Statement Derive expressions for electric field produced along the axis of radial symmetry for an H km thick cylindrical slab of radius R with charge distributed around the volume. Then, give the electric field on the vertical axis for four of these cylindrical slabs.Homework Equations...

My prof gave two formulas without much explanation as to where he got them from. For a parallel plate capacitor he gave it as E=k2∏q/A and for a cylinder he gave E=kq2/Lr where L is the length of the cylinder and r is the radius and A is the area. Can someone please explain how he derived these.

Homework Statement If a dielectric cylinder, say radius R, is placed with its axis parallel to a uniform electric field. What effect will it have on the field? Picture is included which makes it a bit clearer Homework Equations The Attempt at a Solution I know that the D-field...

279) A body is formed by a straight circular cylinder which ends up in a hemisphere. What are the dimensions that should have this body so the total surface area is minimal, if your volume is answer Cubic sqrt( 3V/5 pi) i tried to post an image of my notes and i couldnot i will type later Vt...

Homework Statement Find V(r), the electric potential due to an infinitely long cylinder with uniform charge density ρ and radius R. Use V(r = 2R) = 0 as your reference point. Homework Equations E at r < R = ##\frac{(ρr)}{2ε_{0}}## E at r > R = ##\frac{(ρR^{2})}{(2ε_{0}r)}## The...

Homework Statement A point charge q is moved inside a hollow charged cylinder of radius R. The initial point A is a distance (3/4)R from the center and the final point B is at the center of the sphere. How much work is done by the electric force in this case? 2. The attempt at a solution I...

I'm used to problems which ask me to find the heat flux for when, for example I have a very long cylinder covered with an insulator, each with their respective conductivity coefficient. I'd use the formula \frac{\partial Q} {\partial t} =\int -k\vec{\nabla} T \vec {ds}. But now I have a...

Hi, Please note: this is not a homework assignment. It is taken from an exam and I'd appreciae some clarifications. In the setup delineated in the attachment, a small cylinder of mass M and radius R rolls without slipping inside a larger cylinder of radius 10R. It is stated that the larger...

A sphere weighs P kg what is the weight of the higher straight circular cylinder that can cut from the sphere? Answer sqrt(3)P/3

Hi, I've got a horizontally moving piston in a pneumatic cylinder, the piston is moving backward to suck the air into the cylinder from a hole at one end, this will lead to an air flow rate. I would like to measure the air flow rate at that instant. I was thinking of with a pressure sensor...

Homework Statement A breathing apparatus cylinder has a pressure of 204 bars and a water volume of 8 litres. Calculate the maximum amount of air in this cylinder at this pressure? Homework Equations The Attempt at a Solution 204 bar x 8 litres = 1632 litres?

Homework Statement A small ball of radius r performes small oscillations within a hollow cylinder of radius R. What would be the angular frequency of the oscillations given that the rolling is without slipping? The angle between the radius connecting the center of the hollow cylinder to the...

Homework Statement Part(a): State condition for laplace's to work. Find potential in space between electrodes. Part (b): Find potential inside cylinder and outside. Part (c): How would the answer change is one pair is kept at potential 0 while other V0? Homework Equations The Attempt at a...

Homework Statement A vertical cylinder with diameter 9 cm has an outlet on its side with diameter 3cm, water is filled to height 50cm and the outlet is 5 cm above the bottom of the cylinder. the outlet is closed by a valve, calculate the force required to stop the cylinder from moving when the...

Hi guys. The following question is related to exercise 3.7 from Rindler's SR/GR text: http://postimg.org/image/8gdx0j3gd/ Consider first the following scenario: a Born rigid rod is parallel to the ##x'## axis of a frame ##S'## and accelerating uniformly with proper acceleration ##a## along the...

I am computing the \hat{I} - moment of inertia tensor - of a cylinder with height 2h and radius R, about its axis of symmetry at the point of its centre of mass. I am working in cartesian coordinaes and am not sure where I am going wrong. (I can see the cylindirical coordiates would be the...

Homework Statement Consider an infinitely long solid metallic cylinder having axis along kˆ.Consider a plane passing through axis of cylinder cutting it in two equal parts. In one part is a uniformly distributed current I1kˆ and in another part is a uniformly distributed current −I2kˆ. As...

Homework Statement A uniform cylinder of radius R and mass 8kg has an off-axis hole drilled through it at 2R/5. Its new mass is 6.5kg. The hole and cylinder are parallel with their centers being the same height. What horizontal force, F, must be applied on the top to keep the cylinder at rest...

Homework Statement a light string is wrapped around a solid cylinder and a 300 g mass hangs from the free end of the string. When released, the max falls a distance 54 cm in 3.0s. b) calculate tension in string c) calculate mass of cylinder Homework Equations F=ma I=1/2(mr^2)...