Rotational motion Definition and 601 Threads

A solid cylinder, a solid sphere, and a hoop all of the same mass but different radii, roll without sliding down an inclined plane. The body that gets to the bottom first will invariably be: the cylinder the sphere they all arrive together not enough information the hoop...

The question is, You have a system of a weightless rod (length=1.00m) with three masses suspended rigidly as indicated, with m1 and m3 at the ends and m2 at 0.7m. (m1=20kg, m2=30kg, m3=20kg) The whole system is suspended from its centre-of-mass and is rotated with 25J of rotational...

A hoop pf radius r and mass m is rolling without slipping with velocity v towards a step of height h on a horizontal surface. Assume that it does not rebound and no slipping occur at the point of contact when the hoop roll up, what is the minimum velocity needed for the hoop to roll up...

If I know a distance the center of a wheel travels and what the radius of that wheel is, in what manner can I figure out how far some point on the rim of the wheel travels?

rotational motion I have a problem with describe rotational motion for the cube, i met the rotational motion for the circle shapes but cube is somthing new, so if u know any sources, exampels or solution and book where i can find descirbe of rotational motion for cube pliss give me a sign or...

hi! i've been pondering about rotational motion (of a rigid body). I've been doing some internet research on it, but i have some trouble putting things together... i want to apply forces on the particle parts of a body. one website told me that when you know the axis of rotation, you...

A mass (m) is connected to a pulley (rotational inertia I and radius R) which sits atop an incline with angle theta find an expression for angular acceleration in terms of M I R and theta... incline is frictionless using T= aI i get Rmgsin(theta) = aI so a...

Q) a 250kg roller coaster travels on along track as shown*** at point A and B the coaster is traveling along circular paths. the speed at point A is 20m/s what is the max speed the coaster can have at B and still remain on the track. *** ill do my best to describe this track...basically...

Can anyone help me with this question? A uniform circular disc has mass 4m and radius r. A particle of mass m is attached to the end of the disc at point A of its circumference. The loaded disc is free to rotate about a horizontal axis which is tangential to the disc at the point B, where AB...

A spherical ball of radius r and mass m colides with a plank og mass M on a smooth horizontal surface.Before impact, the centre of the ball has a velocity vo( v knot) and angular velocity wo( omega knot) as I've shown in the figure.The norm velocity is reversed with same magnitude and the ball...

A boy of mass m runs on ice with velocity v and steps on the end of a plank of length l and mass M perpendicular to his path. Describe quantitatively the motion of the sytem.Neglect friction One point on the plank is at rest immediately after the collision.Where is it?

have a question. diameter of a rotor is 7.60m and rotational speed of 450 rev/min. calculate speed of tip. anywell would be welcomed

rotational motion -- billiard ball problem I've been struggling with an AP physics free resposne problem. I have what I hope to be the right answer, but I'm not sure. Heres the question: A billiard ball has mass M, radius R, and moment of inertia about the center of mass Ic = 2/5 * M *...

if a body is rotating forward towards a wall,colides with the wall ofcourse the direction of motion will be reversed,,but what will happen to the rotational motion,if it is given that the infinitely rough

A CD has a mass of 17 g and a radius of 6.0 cm. When inserted into a player, the CD starts from rest and accelerates to an angular velocity of 20 rad/s in 0.65 s. Assuming the CD is a uniform solid disk, determine the net torque acting on it. I thought to use: torque = I * alpha...

hi guys i got a couple of questions can somebody help me out by telling me the steps of where to go about and i will try to get the answer on my own as i need to understand how to do these questions i will post what i know. 1. a train slows down as it turns, from 90 km/hr to 50 km/hr in...

A 50.0 kg child stands at the rim of a merry-go-round of radius 1.90 m rotating with an angular speed of 3.00 rad/s. (a) What is the child's centripetal acceleration? (b)What is the minimum force between her feet and the floor of the merry-go-round that is required to keep her in the circular...

We have recently started studying rotational and rolling motion, I've struggled with this more than anything, I am pretty lost on these problems: 1) Consider a thin rod of mass 3.4 kg, length 6.8m, and uniform density. The rod is pivoted at one end on a frictionless horizontal pin. The rod...

:mad: #1. Consider the following mass distribution where the xy coordinates are given in meters: 5 kg at (0.0, 0.0) m, 3 kg at (0.0, 4.0) m, and 4 kg at (3.0, 0.0) m. Where should a fourth object of 8 kg be placed so the center of gravity of the four-object arrangement will be at (0.0, 0.0) m...

I calculated the equations for circlular motion as fallows... \vec{r}= p \hat{e_p} + z \hat{e_z} where e_p = unit vector in the radial direction, and so on \frac{\partial{\vec{r}}}{\partial{t}} = \dot{p}\hat{e_p} + p\dot{\theta}\hat{e_{\theta}} + \dot{z}\hat{e_z} how do i show that...

Ok, this problem has been driving me crazy. I was thinking that the force is zero since the magnitude of the angular acceleration is zero, however that is not the case. Please help :)

Landing Gear of an aircraft can be modeled as a wheel with damper and spring attached horizontally. I have to show that the equation of motion is given by (I+mr^2)a + cr^2v + kr^2x = 0 where a= acceleration, v= velocity, x= displacement and spring stiffness = k and damping coefficient =...

ok... We were given the following question... (I apologize for it's length... please bear with me) A thin long cylindrical rod (mass M radius R and length l) is initially rotating about its long axis with angular momentum L. There are no external forces or torques however interestingly Ke is...

I'm stuck on a miniquestion in my HW that is hindering the entire problem, so here it is. A disc of mass M, radius R, Icm =1/2MR^2 is rolling down an incline dragging a mass M attached with a light rod to a bearing at the center of the disc. The friction coefficients are the same for both...

I have a diagram for this at http://snipurl.com/diagr There is a uniform disk with radius R, mass M, it has a string wrapped around it and is attached to a fixed rod. Part 1: Show the tension in the string is 1/3 the weight of the disk what i have done for this is Torque=Fd and...

Hey been working on this problem for an hour. An airplane circles the airport control tower 1.0 times while 4.5 km away. Calculate the length of arc through which the plane travels. The only formula i can think of that remotely resembles something to be use on this is F=mv^2/r please...

Two identical signs, each of mass M, are held aloft in adjacent archways. Following wind, several ropes holding the sign snap, leaving only those below. If each sign is in translational equilibrium, find the tensions of the remaining ropes in terms of its mass and gravity g. Pics...

A 13 kg cylinder with a .54 m diameter rolls without slipping down a 30 degree incline from a height of 1.25 m. a. If the cylinder has I = (mr^2)/2, what will its speed be at the incline's base? After using the conservation of mechanical energy I got v = sqrt[(4/3)gh], which is 4.04 m/s...

There is a post with length L and it is being cut down from its lowest point. So the post starts a free fall with circular trajector. The question is that what is the v of upper part of post when it hits the ground? I used energetic method and mvL= 0,5mv^2 plus or minus something... i have a...

One possibility for a low-pollution automobile is for it to use energy stored in a heavy rotating flywheel of mass 240 kg, and should be able to travel 300 km (300,000 m) without needing a flywheel "spinup." Make reasonable assumptions (avg. frictional retarding force 500 N, 20 acceleration...

How is the angular speed of the rear wheel (w_R) of a bicycle related to that of the pedals and front sprocket (w_F) ? To show this relationship, I have to derive a formula for w_R/w_F. N_F and N_R are the number of teeth on the front and rear sprockets , respectively. The teeth are spaced...

I'm having a problem with the following question: A coin with radius R rolls up a plane which is inclined at an 25 degrees above the horizontal. The coin starts up the incline with an initial angular velocity of 70 rad/s and rolls in a straight line without slipping. How far will the coin...

Q: What is the linear acceleration of a point on the rim of a 30-cm-diameter record rotating at a constant angular speed of 33.5 rev/min? I seem to have all the variables and equations in hand - r = .15m and \omega = 3.49 radians/second; v = \omega r ; (radial component of linear...

Two hoops of identical radii roll without slipping down identical inclined planes under the influence of gravity. Hoop 1 is identical to Hoop 2 except for some massive spokes which are fixed to the rim. If the two hoops are released at the same time from the same height, which hoop makes it...

I have been stuck on these forever...but here goes: 1st question: A tire placed on a balancing machine in a service station starts from rest and turns through 5.5 revs in 1.0 s before reaching its final angular speed. Assuming that the angular acceleration of the wheel is constant...

Hello again. I thought I had this problem figured out but once again, I did not. Here's the problem: A solid circular disk has a mass of 1.2kg and a radius of 0.12m. Each of three identical thin rods has a mass of 0.12kg. The rods are attached perpendicularly to the plane of the disk at...

A 3.3m long pole is balanced vertically on its tip. It is given a tiny push. What will be the speed of the upper end of the pole just before it hits the ground? Assume the lower end does not slip. mgh=.5mv^2 + .5Iw^2 Initial PE = final KE translation + final KE rotational v=rw, I=.33mr^2...

The kinetic energy of a body due to rotational motion is a scalar using the following equation: E=\frac{1}{2}I\omega^2 Except, the moment of inertia is nomally expressed as a matrix and the angular velocity as a vector, as in the equation for angular momentum: \vec{H}=[I]\vec{\omega}...

[FONT=Tahoma]Particulars: ball has a radius of 2.5 cm a mass of .125 and is rolling across a table with a speed of .547 m/s, this table is 1.04 m off the ground. It rolls to the edge and down a ramp How fast will it be rolling across the floor? First I found the Gravitational Potential...

Hello, I need to confirm my solution to this problem: A thin rod of length l stands vertically on a table. The rod begins to fall, but its lower end does not slide. (a) Determine the angular velocity of the rod as a function of the angle \phi it makes with the tabletop. (b) What is the speed...

A car accelerates uniformly from rest and reaches a speed of 19.0 m/s in 7.00 s. The diameter of a tire is 64.0 cm. (a) Find the number of revolutions the tire makes during this motion, assuming no slipping. (b) What is the final rotational speed of a tire in revolutions per second...

It is possible for a free body to make rotational motion with the effect of one only force?

I was just wondering if anyone has a few minutes if they could check my answers for my homework. I have 7 questions on Rotaional Motion 1)A potter's wheel moves from rest to an angular speed of .20rev/s in 30s. Assuming constant angular acceleration, what is its angular acceleration in...

I think I have asked this question before, but I either forgot the answer, or never got one. A uniform rod is floating in otherwise empty space and a force is exerted on one end of the rod. What will be the acceleration of the rod's rotation and translation? Where will the center of rotation be?

I got a little confused thinking about this. Consider a ball attatched to a (massless) rod. This system is to be accelerate about the free end of the rod. From what I know, the moment of inertia for this system would simply be the mr^2, since this is the same case as a free ball being...

1.) A car rounds a banked curve where the radius of curvature for the road is R, the banking angle is 0(theta), and the coefficient of static friction is [mu]. (a) Determine the range of speeds the car can have without slipping up or down the road. (b) What is the range of speeds possible if R =...

Hello anyone that can help. I am trying to gain an understanding of rotational motion, including (tangential speed, angular momentum, centripetal force and so on). The first question I was hoping that someone could help me is: An automobile speedometer is configured yo read speed proportional...

Imagine a rod in space. If I exert a force at one end, will the rod translate, rotate, or both? How do I determine what it will do?

Okay guys, I have a serious question. In our Physics class, we were discussing rotational motion. Someone asked the question "If we were falling in a room (we're floating) and someone started to spin the room, would we still be floating? Or would we hit the walls?" If anyone could help me with...

Hi everyone….well I have just started to learn about rotational motion, therefore, I am really confused so I have two different problems that I need help on. 1.) Q: A washing machine goes into the “spin cycle”. From rest the washer starts rotating, gaining 1 rev/sec of rotational velocity...