A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.301 m. Then it undergoes an angular displacement of 9.30 rad. (a) What is its new position vector? -3.2671 +0.459j (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? second at 172 (c) What is its velocity? -(0.597i - 4.24j) m/s (d) In what direction is it moving? (Give a negative angle.) o from the +x direction. (e) What is its acceleration? m/s² (f) What total force is exerted on the object? N

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30
m centered at the origin. It starts at the point with position vector 3.301 m. Then it undergoes an angular displacement of
9.30 rad.
(a) What is its new position vector?
-3.267i+ 0.459j
(b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis?
second
at 172
(c) What is its velocity?
-(0.597i - 4.24j)
m
(e) What is its acceleration?
m/s²
(d) In what direction is it moving? (Give a negative angle.)
º from the +x direction.
m/s
N
(f) What total force is exerted on the object?
Transcribed Image Text:A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.301 m. Then it undergoes an angular displacement of 9.30 rad. (a) What is its new position vector? -3.267i+ 0.459j (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? second at 172 (c) What is its velocity? -(0.597i - 4.24j) m (e) What is its acceleration? m/s² (d) In what direction is it moving? (Give a negative angle.) º from the +x direction. m/s N (f) What total force is exerted on the object?
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