A uniform cylinder with mass m.= 2 kg and radius R= 1.5 m lies on top of a long board which has mass = 4 kg as shown in figure. The board is free to slide frictionlessly on a table, but there is a kinetic friction mb 0.2. If the board is initially at 8 m/s to the right, without any initial rotation, what is between the cylinder and the board, with the coefficient of kinetic friction u = rest, and the cylinder is given an initial speed is vo = the speed of the cylinder (with respect to the ground) when it finally rolls without slipping on the board? (Take the moment of inertia about central axis of cylinder: I (1/2)m.R and g 10 m/s)
A uniform cylinder with mass m.= 2 kg and radius R= 1.5 m lies on top of a long board which has mass = 4 kg as shown in figure. The board is free to slide frictionlessly on a table, but there is a kinetic friction mb 0.2. If the board is initially at 8 m/s to the right, without any initial rotation, what is between the cylinder and the board, with the coefficient of kinetic friction u = rest, and the cylinder is given an initial speed is vo = the speed of the cylinder (with respect to the ground) when it finally rolls without slipping on the board? (Take the moment of inertia about central axis of cylinder: I (1/2)m.R and g 10 m/s)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:A uniform cylinder with mass mc
2 kg and radius R= 1.5 m lies on top of a long board which has mass
4 kg as shown in figure. The board is free to slide frictionlessly on a table, but there is a kinetic friction
between the cylinder and the board, with the coefficient of kinetic friction
rest, and the cylinder is given an initial speed is vo = 8 m/s to the right, without any initial rotation, what is
the speed of the cylinder (with respect to the ground) when it finally rolls without slipping on the board? (Take
the moment of inertia about central axis of cylinder: I = (1/2)m R and g
0.2. If the board is initially at
%3D
10 m/s)
me
vo
O11.43
O8.57
mp
O2.67
O5.71
O 2.86
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