Rotational motion Definition and 614 Threads

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}...

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 Energy: Ep=mgh...

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...

Here's the problem I'm stuck on: An 8 lb. block slides on a horizontal table; between the block and table, coeffecient of friction = 0.25. The block is pulled by a string over a light, frictionless pulley wrapped around a solid cylinder of radius 2 ft. and weight 8 lb. The cylinder is...