Rotational Definition and 1000 Threads

Which components of the force create Rotational motion?

Homework Statement A rolling wheel moving to the right initially has an angular speed of 7.0 rad/s but after making 3 complete revolutions the wheel has a final angular speed of 11.0 rad/s. What is the magnitude and direction of the average angular acceleration of the wheel? Homework...

The disc brakes of a high performance car are often made of carbon fiber instead of iron, thereby reducing the mass. If both types of discs are of the same size and shape, and each iron disc has a mass of 4 kg and each carbon disc has a mass of 1 kg, what is the reduction in rotational kinetic...

I am trying to build a rotational transformation matrix both for counterclockwise and clockwise angles. The first matrix in the picture is for counterclockwise angles and the second one for clockwise angles. The first matrix I built corresponds to the one given in my linear algebra book so it...

A solid, uniform disk of radius 0.250 m and mass 57.7 kg rolls down a ramp of length 3.70 m that makes an angle of 14° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. (b) Find the...

Homework Statement A man drags a 71.5-kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 22.5° above the horizontal, and the strap is inclined 64.0° above the horizontal. The center of gravity of the crate coincides...

Homework Statement A thin, cylindrical rod = 27.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is...

A man drags a 67.0-kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 24.0° above the horizontal, and the strap is inclined 64.0° above the horizontal. The center of gravity of the crate coincides with its geometrical...

Homework Statement A chimney (length L = 82.6 m, mass M = 2280 kg) cracks at the base, and topples. Assume: - the chimney behaves like a thin rod, and it does not break apart as it falls - only gravity (no friction) acts on the chimney as if falls - the bottom of the chimney tilts but...

2Homework Statement A chimney (length L = 82.6 m, mass M = 2280 kg) cracks at the base, and topples. Assume: - the chimney behaves like a thin rod, and it does not break apart as it falls - only gravity (no friction) acts on the chimney as if falls - the bottom of the chimney tilts but...

A flywheel 1.2 m in diameter is uniformly accelerated from rest and revolves completely 68 times in reaching a speed of 125 rev/min. Find the time taken to reach this speed i have been given the correct answer as 65.29 seconds Wht i have up to now ω1 = 0 ω2 = 125 r/min = 125/60 =...

Homework Statement Homework Equations ƩF = ma The Attempt at a Solution I know how to break this problem up into the x and y direction Y Direction: Ft cosθ - Fg = 0 X Direction: Ft sinθ - Fg = mv2 / r The hint says to find the inward radial component. I'm guessing this...

Homework Statement Homework Equations ƩF = ma = (mv2) / r The Attempt at a Solution For part A: Fn - Fg = (mv2) / r Fn = ((mv2) / r ) + mg Fn = (500x20^2) / 10 + 500x9.8 Fn = 24900 This seems too high to be true. But I'm unsure of what I did wrong. I know the normal force...

[b]1. Consider a fan that has rotated by a total of 2 complete revolutions from where it started. This quantity (2 revolutions) is analogous to what quantity in linear kinematics? Position Displacement Velocity Speed Time Time Homework Equations I am...

I can't seem to understand moment of inertia. What does it mean and how is it derived ? How does it relate to rotational kinetic energy.

Homework Statement Suppose you are standing uptight with your right arm stretched out straight in front of you, palm down, the upper arm rotating rightward relative to space at 2 radians/s and the elbow flexing in the horizontal plane at 2 radians/s. What is the rotational velocity of the...

Why does a force applied exactly perpendicular to one end of a rigid rod produce translatory motion along with rotational motion about center of mass? I know the mathematics F=m(center of mass)*a but I want a mechanical answer. Please help me analyze the mechanics of it. I think analyzing the...

Homework Statement Three 2.30kg masses are located at the vertices of an equilateral triangle 55.0cm on a side, connected by rods of negligible mass. Find the rotational inertia, I_2, of this object about an axis that passes through one vertex and the midpoint of the opposite side Homework...

How to derive the Rotational Inertia for a flat plate. I do not see any symmetry about the axis of rotation as in a thin rod.http://imageshack.us/a/img845/1134/53433231.jpg

Homework Statement In a crude model of a rotating diatomic molecule of chlorine (Cl2), the two Cl atoms are 2.00 10^-10 m apart and rotate about their center of mass with angular speed ω = 3.80 10^12 rad/s. What is the rotational kinetic energy of one molecule of Cl2, which has a molar mass...

suppose we are sitting on earth.now we threw a object with velosity greater than escape velosity.will the kinetic energy remain same if we throw the object in different directions?how

Homework Statement a solid cylinder of mass m and radius R and a plank of mass M are placed on a smooth horizontal surface. there is sufficient friction between the cylinder and the plank's surface to prevent sliding of the cylinder. the fixed pulley is smooth. if the plank is pulled with a...

Hi, I would like to know if it's possible to turn a cylinder full of gas (air for example) at W rd/s for have more density up ? The first drawing show the basic system turn around the center. The second drawing show the density of gas like I think it can be, black=more density, white=less...

Homework Statement A uniform sign is nailed into a wall at its top two corners. The nail on the upper-right corner breaks, and the sign begins to rotate about the remaining nail in the upper-left corner. The mass of the sign is 69 kg, L (length) = 1.6 m, H (height) = 2.2 m, and the moment of...

Homework Statement I have abit of problem understanding this 2 question, I would appreciate if someone can guide me along. For diagram 1 (Left) I interpret the condition as: At 0sec, initial velocity is 0, At 5sec final velocity is unknown. For diagram 2 (Right) I interpret the...

Homework Statement For impulse momentum, I know that collision between two object, impulse = 0. Can somebody explain to me how come for this question the impulse is 0 "shaft A engaged to shaft b" has the same meaning as collision? And I assume that it is right for me to add shaft A and shaft...

Homework Statement Suppose that there is a beam of neutrons with a range of wavelengths. One intends to produce neutrons of single wavelength by the use of neutron mechanical velocity selector. The question is, if the slot in the disk B (second disk) of the selector lags the slot in the disk...

Homework Statement I don't how how to work out for the Gravitational Energy "H". Info given is 1.5rev converting to 9.42rad/s S=rδ S=0.2x9.42 =1.884 *Should i multiply the axle radius or wheel? The Attempt at a Solution E1=K1+G1+S1 =1/2(8.5)202+(20)(9.81)(H)+0Thanks

Homework Statement Each of the questions are either increase, decrease, equal, or undetermined. 1) You are sitting on a rotating chair, holding a 2 kg mass in each arm outstretched. When the masses are dropped, your angular momentum -------. 2) You sit in a rotating chair holding 2 kg...

If I have a sphere at rest on top of a ramp, if friccion is negligible, the only forces acting on it would be gravity and the normal force. Both of these go through it's axis of rotation which would be the spheres center. What would cause the rotation then so τ≠0?

Homework Statement Reference to part C of the question, I would like to ask for work done U1to2, how come linear motion is not included? I thought both linear and rotational exist since the parcel "move downwards" (linear) and the wheel is rotating (rotational) Thanks...

Homework Statement Hey guy's I am kind of struggling with this i would appreciate any help A potter's wheel having a radius 0.49 m and a moment of inertia of 12.1 kg · m2 is rotating freely at 52 rev/min. The potter can stop the wheel in 6.0 s by pressing a wet rag against the rim and...

Homework Statement Hi guys, I would like to ask for this particular question, The GPE is 0 for all position is because I set datum as the original position, GPE = 0 and when the string got detached from the axle, there is no GPE for datum 2. Am I right? Thanks

Hi, I see in many of these physics problems it is explicitly stated that "the cord on the pulley does not slip." [1] What is the implication of this? Why is it important? Also, there is a problem here with a diagram that I will try to explain in words and then have a question about...

Homework Statement http://i46.tinypic.com/548uox.pngHomework Equations The Attempt at a Solution My teacher said that we will take the axis at the point which is in contact with the ground (i don't get why we need to do so?). I followed the teacher's hint. Angular acceleration α=a/R, where a is...

Homework Statement A thin rod of length L and mass m is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed ω. In terms of these symbols and g, and neglecting friction and air resistance, find...

This is for self-study. Homework Statement The armature of a motor has 97 turns each of area 190 cm² and rotates in a uniform magnetic field of 0.33 T. A potential difference of 24 V is applied. If no load is attached and friction is neglected, find the rotational speed at equilibrium...

In the days before compact discs and MP3 players (ancient history!), music was recorded in scratches in the surface of vinyl-coated disks called records. In a typical record player, the record rotated with a period of 3.6 s. Find the centripetal acceleration of a point on the edge of the record...

A 36.5-cm diameter disk rotates with a constant angular acceleration of 2.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) Find the angular speed of the...

Homework Statement In this given pole, mass is "M" and length is "L" and it is on a frictionless surface as the picture describes. "G" is the center of gravity and "I" is the inertia. A ball with a mass of "m" comes as the picture and hits the pole with a velocity of "v" and turns the...

Homework Statement A meter stick is held to a wall by a nail passing through the 60-cm mark. The meter stick is free to swing about this nail, without friction. If the meter stick is released from an initial horizontal position, what angular velocity will it attain when it swings through the...

This is problem from a textbook whose solution I don't understand. A small rock of mass 0.5kg is attached to a 1.5m string, then it is whirled for 5 seconds until it achieves a near horizontal orbit at 120 rpm. What is the torque required? I used the equation : τ=Iα (moment of inertia x...

Hi, I'm reading a book called Robotics, written by Tadej Bajd on my own to learn about robotics and have no one else to put my questions other than to the forums. Here the writer on 11th page writes: "By considering the similarity of triangles in Figure 2.3, it is not difficult to derive...

So here is the problem I have. There is a box that is 27.5" tall and 41" tall with a mass of 480lbs. One edge is put on a 3.5" tall block while the other is raised 12" and dropped. The question is to see if the block will continue to rotate and fall on it's side. I have been able to find the...

Homework Statement Derive the equation for the linear acceleration of a falling mass m suspended by a string from the rim of a uniform disk of mass M and radius R that is free to rotate without friction about its principal axis. Homework Equations a=rα linear acceleration = radius*angular...

Homework Statement The tension answer I got is different from the answer. Can someone help me take a look at my working? Really appreciate your time in doing this. Thanks alot.

Homework Statement Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars. If the two cars are in line at t = 0, and moving at 3ω and ω respectively, at what time will they next pass each other? The...

Hello forum members... I have a problem in calculating the energy of rotational levels. Kindly help me...The question goes like this: A Caroussel(merry-go-round) of diameter 20 m and weight 1 ton( =1000 kg that is evenly distributed on the discs) rotates 10 times per minute. Calculate the...

Hey all, I've been thinking about this all night because it been bothering me I need a proper answer for it... Now I have a disc that has mass on each corner(N,W,S,E) it has a total mass of 1 Killo now with the small object spread on its edges. I want to increase the speed of that disc with...

Homework Statement Hello everyone, Please help me with this problem, as I am getting stuck solving this problem. A solid sphere of Mass M and Radius R rolling (pure) encounters a protrusion on the surface of height R/4. Its in the form of a step. What can be the maximum velocity V of...