Purchase Solution

Translational Velocity

Not what you're looking for?

Ask Custom Question

An object of your choice, of radius R, is given an initial angular velocity about a horizontal axis of w_0 (omega(initial)). The object is then set down on a surface that has a friction coefficient of u and released. What is the translational velocity of the object as it rolls away from the initial point of contact?

Purchase this Solution
Solution Summary

The expert examines translational velocity.

Solution Preview

Please see the attached file.

4.) An object of your choice, of radius R, is given an initial angular velocity about a horizontal axis of w_0 (omega(initial)). The object is then set down on a surface that has a friction coefficient of µ and released. What is the translational velocity of the object as it rolls away from the initial point of contact?

Let the moment of inertia of the object (sphere or cylinder or a disc) is I. The angular momentum of the object due to rotational motion just before it is placed on the surface about its axis will be

As it is rotating only its angular momentum about any axis ...

Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

The Moon

Test your knowledge of moon phases and movement.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

View More Free Quizzes
Related BrainMass Solutions

  • Physics - Mechanics - Rotational Motion

    (a)Rotational velocity = theta/time = 7.5/5 = 1.5 rad/s (b)Translational velocity = radius x rotational velocity = 10 x 1.5 = 15 m/s (c)Tangential acceleration = radius x angular acceleration = 10 x 0.30 = 3 m/s^2 (d)Radial acceleration = (translational

  • Kinetic energy of a sphere

    Let (KE)t be the Translational kinetic energy Let (KE)r be the Rotational Kinetic energy (KE)t = (1/2)*M*V^2 --- (1) (KE)r = (1/2)*I*w^2 --- (2) where V = Linear Velocity and w = Angular Velocity, I = Moment of Inertia (MOI) Sphere rolls

  • Physics - Translational Motion of a Ball

    The translational motion of a ball with initial velocity is analyzed. The distance traveled during the 5th second is determined.

  • Angular Velocity and Mass

    The translational kinetic energy Where M=mass of the ring, R=radius of the ring ( ), =angular velocity of the ring.

  • Toy Car: Actual translational speed of the car; angular velocity of the flywheel

    27354 Toy Car: Actual translational speed of the car; angular velocity of the flywheel When a toy car is rapidly scooted across the floor, it stores energy in a flywheel.

  • Add rotational kinetic energy plus translational kinetic energy

    The whole cart of mass M, including cylinders, is moving at velocity v and therefore has translational KE: (7) KEtrans = .5 M v^2 Step 5. The total KE of the moving cart is: (8) KEtotal = KEtrans + KErot, found by adding (5) and (7). Step 6.

  • Unwinding Cylinder (Moment of Inertia; Angular Rotation)

    The string constrains the rotational and translational motion of the cylinder. What is the relationship between the angular rotation rate and , the velocity of the center of mass of the cylinder?

  • Moment of Inertia of a Rotating Body

    Hence, we can define mass of an object as that entity whose one half value multiplied by the square of the object's translational velocity gives the kinetic energy possessed by the object.

  • Translational and Rotational Movements

    Note the following table which outlines the differences between translational (linear) and rotational (angular) movements Quantity Translational Rotational acceleration a α (angular acceleration) Velocity v ω = v/R force F=ma τ = I&

View More Related Solutions