A man with a mass Of 80 kg runs at a speed of 4 m/s along the tangent to a disk shapedplatform of mass 160 kg and radius of 2 m. The platform is initially at rest but can rotatefreely about an axis through its center. For the platform, I = (1/2) M R². Treat the man as apoint particle.(a) Find the angular velocity of the platform after the man jumps in.(2) He then walks slowly to the center. Find the new angular velocity.

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speed of 4 m/s along the tangent to a disk shaped 2 m. The platform is initially at rest but can rotate For the platform, I = (1/2) M R². Treat the man as a %3D atform after the man jumps in. r. Find the new angular velocity.

speed of 4 m/s along the tangent to a disk shaped 2 m. The platform is initially at rest but can rotate For the platform, I = (1/2) M R². Treat the man as a %3D atform after the man jumps in. r. Find the new angular velocity.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A man with a mass Of 80 kg runs at a speed of 4 m/s along the tangent to a disk shaped
platform of mass 160 kg and radius of 2 m. The platform is initially at rest but can rotate
freely about an axis through its center. For the platform, I = (1/2) M R². Treat the man as a
point particle.
(a) Find the angular velocity of the platform after the man jumps in.
(2) He then walks slowly to the center. Find the new angular velocity.

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