A wooden disk is set on its edge on a table top. A string is wrapped around itsouter circumference and a hand is pulling on the string horizontally from thetop, so that the disk rolls without slipping on the table. The center of the disk ismoving with a velocity of 12.0 cm/s. What is the velocity of the hand?V handVcenter FORMULASs= r0,1= lever armT = FI, wherev = ro,Torque: t = F(sin0)ra = raEquilibrium: Στ-0Non-equilibrium:Στ= ΙαMoments of Inertia for Various Rigid Objects of uniform composition: Pointmass: I= MR2Moments of Inertia for Various Rigid Objects of Uniform CompositionHoop or thincylindrical shell1= MRSolid sphereRSolid cylinderor diskThin sphericalshell-MR2MR1=-2Long, thin rodwith rotation axisthrough centerI MI?Long, thinrod withrotation axisthrough endML?= r®,1= lever armv = ro,a = raTorque: t = F(sin0)rT = Fl, where%3DEquilibrium: Στ-0Non-equilibrium:Στ-Ια

This is a scenario when rotational and translation motion are involved simultaneously. Let's solve…

A wooden disk is set on its edge on a table top. A string is wrapped around its outer circumference and a hand is pulling on the string horizontally from the top, so that the disk rolls without slipping on the table. The center of the disk is moving with a velocity of 12.0 cm/s. What is the velocity of the hand? V hand Vcenter

A wooden disk is set on its edge on a table top. A string is wrapped around its outer circumference and a hand is pulling on the string horizontally from the top, so that the disk rolls without slipping on the table. The center of the disk is moving with a velocity of 12.0 cm/s. What is the velocity of the hand? V hand Vcenter

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

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A wooden disk is set on its edge on a table top. A string is wrapped around its
outer circumference and a hand is pulling on the string horizontally from the
top, so that the disk rolls without slipping on the table. The center of the disk is
moving with a velocity of 12.0 cm/s. What is the velocity of the hand?
V hand
Vcenter

FORMULAS
s= r0,
1= lever arm
T = FI, where
v = ro,
Torque: t = F(sin0)r
a = ra
Equilibrium: Στ-0
Non-equilibrium:
Στ= Ια
Moments of Inertia for Various Rigid Objects of uniform composition: Point
mass: I= MR2
Moments of Inertia for Various Rigid Objects of Uniform Composition
Hoop or thin
cylindrical shell
1= MR
Solid sphere
R
Solid cylinder
or disk
Thin spherical
shell
-MR
2
MR
1=-
2
Long, thin rod
with rotation axis
through center
I MI?
Long, thin
rod with
rotation axis
through end
ML?
= r®,
1= lever arm
v = ro,
a = ra
Torque: t = F(sin0)r
T = Fl, where
%3D
Equilibrium: Στ-0
Non-equilibrium:
Στ-Ια

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