A 1.50 kg mass moves in the x and y plane according to vector r = (6t^3+t)i+ (15t^2 + 3)j (relative to the origin), with r in meter and t in seconds. At t = 3.00 s (a) What are the magnitude and direction of the force acting on the mass? (b) What are the magnitude and direction of the linear momentum? (c) What is the torque acting on the mass relative to the origin? (d) What is the mass angular momentum relative to the origin? (e) What is the angle between the torque vector and the angular momentum vector? (f) What is the angle between the force vector and the linear momentum vector?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
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A 1.50 kg mass moves in the x and y plane according to vector r = (6t^3+t)i+ (15t^2 + 3)j (relative to the origin), with r in meter and t in seconds. At t = 3.00 s (a) What are the magnitude and direction of the force acting on the mass? (b) What are the magnitude and direction of the linear momentum? (c) What is the torque acting on the mass relative to the origin? (d) What is the mass angular momentum relative to the origin? (e) What is the angle between the torque vector and the angular momentum vector? (f) What is the angle between the force vector and the linear momentum vector?

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