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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...

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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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