Rotational motion Definition and 614 Threads

Homework Statement A 392-N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill, it is rotating at 25.0rad/s. The radius of the wheel is .6m and its moment of inertia about its rotation axis is 0.800MR2. Friction does work on the wheel as it...

Homework Statement The professor gives us an exam preview where he hints at the types of problems via the picture. Attached is the preview. I have a question about pictures 1 and 2. It's probably a problem that involves rotational and translational energy, conservation of energy. If it's...

Homework Statement We were given a video...I'm not sure if you can post video links otherwise I would...but it's a video of an airplane on a string flying in a circular motion. On the top of the string you can see that the tension of the string is 6.5N. and it is flying at an angle of 50°...

Homework Statement A string passing over a pulley has a 3.80-kg mass hanging from one end and a 3.15-kg mass hanging from the other end. The pulley is a uniform solid cylinder of radius 4.0 cm and mass 0.80 kg. If the bearings of they pulley were frictionless, what would be the acceleration...

Homework Statement In throwing a hulahoop with back spin, you toss the hoop to the right, and it (1) moves right with speed v0, but rotates ccw with speed ω0. At some point, O, (2) it will change direction, and at that point it will start moving to the, left, but still be sliding because it...

Homework Statement A quarry crane is used to lift massive rocks from a quarry pit. Consider the simplified model of such a crane shown in the figure. (Figure 1) The ends of two poles are anchored to the ground at the same point (point O). From this point, one pole rises vertically and the...

Hey guys, So, I'm kinda distraught over this problem because, by all accounts, I should be able to get the problem no sweat. However, it just hasn't been happening. If you could point out my flaw, I would truly appreciate it! In the problem, we are asked to find the magnitude of the...

Homework Statement Consider a sphere that is placed at a table. The coefficient of kinetic friction between the sphere and the table is μ. At time t = 0, the velocity of the center of mass of the sphere is Vo = 0, and the sphere is rotating with respect of the horizontal axis with angular...

Homework Statement A ball of clay of mass m travels with velocity v in a path tangent to a disk of radius R and mass M. The clay collides with the disk tangentially to its outer rim ( a totally inelastic collision) and the clay and disk begins to spin about the axis. a) What is the final...

Edit: Nevermind, solved it. Homework Statement A ceiling fan with 80 cm-diameter blades is turning at 60rpm . Suppose the fan coasts to a stop 25 s after being turned off. What is the speed of the tip of the blade 10 seconds after being turned off? Through how many revolutions does the fan...

Homework Statement The ropes in the figure are each wrapped around a cylinder, and the two cylinders are fastened together. The smaller cylinder has a diameter of 10 cm and a mass of 5.0 kg; the larger cylinder has a diameter of 20 cm and a mass of 20 kg. What is the angular acceleration of...

Homework Statement The ropes in the figure are each wrapped around a cylinder, and the two cylinders are fastened together. The smaller cylinder has a diameter of 10 cm and a mass of 5.0 kg; the larger cylinder has a diameter of 20 cm and a mass of 20 kg. What is the angular acceleration of...

My textbook says, "for an object rolling without slipping down an incline, the frictional force fs is less than or equal to its maximum value. fs < μsFn Why is that? What happen it's greater than?? When do we have static friction in rotational motion? (for rolling object) Then in an example...

Homework Statement A vacuum cleaner belt is looped over a shaft of radius 0.45 cm and a wheel of radius 1.80 cm. The arrangement of the belt, shaft, and wheel is similar to that of the chain and sprockets in Fig. Q9.4. (Just like a bicycle).The motor turns the shaft at 60 rev/s, and the...

Suppose a mass attached to a rope which winds around a rim or a disk. If the mass attached to the string falls x meters, should the string also move thorugh x meters around the rim or the disk which we can relate by s = r theta?

In rotational motion what is the difference between angular acceleration, radial acceleration and tangential acceleration?? ... Now suppose a rotating disk about its center (axis) rotating and a mass attached to the string of the rotating disk. By what v does it move... Is it just like v-rW...

When you open a door you apply force in any particular direction and as a result you get rotational motion of the door. My question is how linear momentum is conserved in this case as linear momentum seems to have generated rotational motion? To clarify my question further, if we fix a rod from...

Hello, Of the different rotational quantities of motion--angular velocity, angular acceleration, torque, angular momentum, etc.--, which of them has their direction perpendicular to the plane of rotation (not sure if I worded that correctly)? I am pretty certain that torque has its...

Hi there, I've got a conceptual question about the normal force as applied to rotational motion. Suppose you have an object like a uniform disk. If the disk were set up so that its axis of rotation were about its centre of mass, it would just sit there and the normal force would be equal to...

Homework Statement the sliding block has a mass of .850kg the counterweight has a mass of .420kg , and the pulley has a mass of .350kg with outer and inner radius .030m, .020m, the coefficient of friction is .250. the pulley turns the axle. the light cord does not stretch and does not slip on...

I've attached an image explaining the problem. All pulleys are massless. Basically, they want me to show some relations between wire tensions, using Newtons 2nd law for rotational motion. This law is written in my book as: dL / dt = torque, where L is angular momentum. I'm not sure...

Homework Statement Homework Equations T1 + V1 = T2 + V2 T = kinetic energy V = potential energy The Attempt at a Solution I am only confused about how to get T2. Here is how the answer key gets T2: I don't get why Va = Vb = 0. The wheels have some velocity so it doesn't...

Homework Statement Alright so I am confused about why the solution does not include the kinetic energy due to rotational energy from I_g2 as indicated in red in the following image. I don't understand why they would neglect it... I calculated the value and it makes a big difference.

Homework Statement Hey all - I'm doing a physics lab on rotational motion, and I can not make sense of the last part, the additional analysis. The question is: Since our masses are not actually point-masses, the theoretical model I = MR^2 is not very accurate, so for a better theoretical...

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...

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 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...

This is a question for a rather odd purpose. I came across a working LEGO model of a Russian tank and I'm trying to model it using CAD software. It has a motorized system to elevate and lower the main cannon. This is where putting it into words might get weird: It uses a small motor which...

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 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 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

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...

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...

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...

Homework Statement I cannot get the answer for part c, -13.02rad/s^2 The Attempt at a Solution 52.08=260.42+α(10) -208.34=10α α= -20.83rad/s^2 (Correct) 0=52.08+α(10) -52.08=10α α=-5.208rad/s^2 (Wrong) Please help, thanks..

Homework Statement Since Gear A -------- Vi=0 t=12s θ=40∏ as given in the question, can I assume that Vi=0 t=12s for Gear B/Drum C as well? If not why? Thanks..

Homework Statement I am writing a large paper on the physics of fishing and would like to know what equation would prove the statement that a longer fishing pole would result in a higher velocity of the lure? My physics book gives me a gamut of equations for rotational motion but I can't...

http://img444.imageshack.us/img444/8148/rollwx.jpg A rope is wound around a cylinder of mass 4kg, and I=0.02kg.m2 about the cylinder axis. The frictional force between table and cylinder is negligible. Solution: a=20/4=5.0m/s2 α=ar is not applicable when slippage occurs. My...

Hey guys! Ok, so I don't have that much to work with, and I am sorry for my lack of detail, but my memory is a bit fuzzy. I had to do a problem like this for my physics test yesturday: On the test we were given a problem involving a roller coaster (Rotating Drum of Death was its name)...

Homework Statement Attached 1st pic is the question, 2nd pic is the formula PS: I am sorry if i have posted on the wrong section. The Attempt at a Solution My understanding for this question is for compound pulley, angular velocity is the same, linear velocity is different. For pulleys in...

Hi guys, I have a few doubts on Rotational Motion and hope someone can help me out. This 3 formula is for finding angular velocity, angular acceleration and angular displacement right? ω=ωi+αt ω²=ωi²+2αδ δ=ωit+1/2αt² And this 3 formula is for finding the linear...

Homework Statement A spinning disk is rotating at a rate of 30 rad/s in the counterclockwise direction. The disk is slowing down at a rate of 6 rad/s2. Find the angle through which the disk has turned after 3 s in radians, degrees, and revolutions. Homework Equations θ=θi + ωi*t + αt^2...

This is my first post on here; I hope it will be worth it. I haven't been able to find an adequate solution to this elsewhere. Homework Statement A 5.30 kg ball is dropped from a height of 11.5 m above one end of a uniform bar that pivots at its center. The bar has mass 8.50 kg and is 9.00 m...