The position vector of a 2.5 kg particle is given by r=4.0 i +3.0 fĵ, where r is in meters and t is in seconds. Determine (a) the velocity vector and (b) the acceleration vector for the particle. Now determine (c) the momentum vector of the particle and (d) the net force vector acting on the particle. Then determine (e) the angular momentum vector and (f) the torque vector for an axis of rotation along the z-axis at the origin of the xy-plane.

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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find d,e,f

The position vector of a 2.5 kg particle is given by \( \mathbf{r} = 4.0 \, t \, \mathbf{i} + 3.0 \, t^2 \, \mathbf{j} \), where \( \mathbf{r} \) is in meters and \( t \) is in seconds. Determine (a) the velocity vector and (b) the acceleration vector for the particle. Now determine (c) the momentum vector of the particle and (d) the net force vector acting on the particle. Then determine (e) the angular momentum vector and (f) the torque vector for an axis of rotation along the \( z \)-axis at the origin of the \( xy \)-plane.
Transcribed Image Text:The position vector of a 2.5 kg particle is given by \( \mathbf{r} = 4.0 \, t \, \mathbf{i} + 3.0 \, t^2 \, \mathbf{j} \), where \( \mathbf{r} \) is in meters and \( t \) is in seconds. Determine (a) the velocity vector and (b) the acceleration vector for the particle. Now determine (c) the momentum vector of the particle and (d) the net force vector acting on the particle. Then determine (e) the angular momentum vector and (f) the torque vector for an axis of rotation along the \( z \)-axis at the origin of the \( xy \)-plane.
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