85. A uniform cylinder of mass M and radius R is initially at rest on a rough horizontal surface. A light strinewrapped around the cylinder and is pulled straight up with a force T whose magnitude is 0.80 MB- As a reserthe cylinder slips and accelerates horizontally. The moment of inertia of the cylinder is I =MR- and thecoefficient of kinetic friction is 0.40.%3D2aFr(0.4VFgOn the circle above, show all the forces applied on the cylinder.b. In terms of g, determine the linear acceleration, a of the center of the cylinder.Determine the angular acceleration, a of the cylinder.d. Explain the difference in results of linear acceleration a, and Ra.20ar velocityrvelocity ?gularar dis(2)lovof

Given: Mass= M Radius = R Tension,T = 0.80Mg…

85. A uniform cylinder of mass M and radius R is initially at rest on a rough horizontal surface. A light string is wrapped around the cylinder and is pulled straight up with a force T whose magnitude is 0.80 Mg. As a resuit, the cylinder slips and accelerates horizontally. The moment of inertia of the cylinder is I =MR2 and the coefficient of kinetic friction is 0.40. a 5:l0.4)Mg On the circle above, show all the forces applied on the cylinder. b. In terms of g, determine the linear acceleration, a of the center of the cylinder. Determine the angular acceleration, a of the cylinder. d. Explain the difference in results of linear acceleration a, and Ra. a. C. velocity elocity a

85. A uniform cylinder of mass M and radius R is initially at rest on a rough horizontal surface. A light string is wrapped around the cylinder and is pulled straight up with a force T whose magnitude is 0.80 Mg. As a resuit, the cylinder slips and accelerates horizontally. The moment of inertia of the cylinder is I =MR2 and the coefficient of kinetic friction is 0.40. a 5:l0.4)Mg On the circle above, show all the forces applied on the cylinder. b. In terms of g, determine the linear acceleration, a of the center of the cylinder. Determine the angular acceleration, a of the cylinder. d. Explain the difference in results of linear acceleration a, and Ra. a. C. velocity elocity a

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 1STP

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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

85. A uniform cylinder of mass M and radius R is initially at rest on a rough horizontal surface. A light strine
wrapped around the cylinder and is pulled straight up with a force T whose magnitude is 0.80 MB- As a reser
the cylinder slips and accelerates horizontally. The moment of inertia of the cylinder is I =MR- and the
coefficient of kinetic friction is 0.40.
%3D
2
a
Fr
(0.4
VFg
On the circle above, show all the forces applied on the cylinder.
b. In terms of g, determine the linear acceleration, a of the center of the cylinder.
Determine the angular acceleration, a of the cylinder.
d. Explain the difference in results of linear acceleration a, and Ra.
20
ar velocityr
velocity ?
gular
ar dis
(2)
lov
of

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