Yo-yo has a mass m, an inner radius r and anouter radius R. The rotational inertia of theyo-yo is given by l= 1/2mR2. A massless bandis wrapped around the inner radius. What willbe the acceleration of the yo-yo whenreleased from a standstill?

Torque produced is the product of Rotational inertia and angular acceleration torque=Iα Torque is…

Yo-yo has a mass m, an inner radius r and an outer radius R. The rotational inertia of the yo-yo is given by I= 1/2mR2. A massless band is wrapped around the inner radius. What will be the acceleration of the yo-yo when released from a standstill?

Yo-yo has a mass m, an inner radius r and an outer radius R. The rotational inertia of the yo-yo is given by I= 1/2mR2. A massless band is wrapped around the inner radius. What will be the acceleration of the yo-yo when released from a standstill?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 57PQ

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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

Yo-yo has a mass m, an inner radius r and an
outer radius R. The rotational inertia of the
yo-yo is given by l= 1/2mR2. A massless band
is wrapped around the inner radius. What will
be the acceleration of the yo-yo when
released from a standstill?

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