A wooden board is placed on top of two identical, solid, parallel cylindrical rollers, as shown in the figure below. The board has a mass of M 6.60 kg, and the rollers each have a mass of m= 2.00 kg and a radius of R 4.80 cm. The board is pulled by a constant horizontal force F of magnitude 6.80 N applied to the end of the board and perpendicular to the axes of the cylindrical rollers. The cylinders roll without slipping on a flat surface, and there is also no slipping between the cylinders and the board. At the instant shown in the figure, the rollers are equidistant from the ends of the board. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) What is the magnitude (in m/s2) and direction of acceleration of the board at the instant shown? m/s2 magnitude direction -Select- magnitude direction (b) What is the magnitude (in m/s2) and direction of acceleration of the centers of mass of the rollers at this moment? m/s² -Select- M (c) What is the magnitude (in N) and direction of f, the frictional force exerted by a single roller on the board? magnitude direction ---Select- (d) What is the magnitude (in N) and direction of for the frictional force exerted by the ground on a single roller? N magnitude direction -Select-
A wooden board is placed on top of two identical, solid, parallel cylindrical rollers, as shown in the figure below. The board has a mass of M 6.60 kg, and the rollers each have a mass of m= 2.00 kg and a radius of R 4.80 cm. The board is pulled by a constant horizontal force F of magnitude 6.80 N applied to the end of the board and perpendicular to the axes of the cylindrical rollers. The cylinders roll without slipping on a flat surface, and there is also no slipping between the cylinders and the board. At the instant shown in the figure, the rollers are equidistant from the ends of the board. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) What is the magnitude (in m/s2) and direction of acceleration of the board at the instant shown? m/s2 magnitude direction -Select- magnitude direction (b) What is the magnitude (in m/s2) and direction of acceleration of the centers of mass of the rollers at this moment? m/s² -Select- M (c) What is the magnitude (in N) and direction of f, the frictional force exerted by a single roller on the board? magnitude direction ---Select- (d) What is the magnitude (in N) and direction of for the frictional force exerted by the ground on a single roller? N magnitude direction -Select-
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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Transcribed Image Text:A wooden board is placed on top of two identical, solid, parallel cylindrical rollers, as shown in the figure below. The board has a mass of M 6.60 kg, and the rollers each have a mass of m= 2.00 kg and a radius
of R=4.80 cm. The board is pulled by a constant horizontal force F of magnitude 6.80 N applied to the end of the board and perpendicular to the axes of the cylindrical rollers. The cylinders roll without slipping
on a flat surface, and there is also no slipping between the cylinders and the board. At the instant shown in the figure, the rollers
not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)
e equidis
board. (Due to the nature of this problem, do
from
ends of
magnitude
direction
(a) What is the magnitude (in m/s2) and direction of acceleration of the board at the instant shown?
m/s2
magnitude
direction
-Select-
(b) What is the magnitude (in m/s2) and direction of acceleration of the centers of mass of the rollers at this moment?
m/s2
Select
magnitude
direction
M
Ⓡ
(c) What is the magnitude (in N) and direction of f, the frictional force exerted by a single roller on the board?
magnitude
direction
-Select--
(d) What is the magnitude (in N) and direction of for the frictional force exerted by the ground on a single roller?
N
-Select--
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