Chapter 11, Problem 067 The figure is an overhead view of a thin uniform rod of length 0.690 m and mass M rotating horizontally at 82.0 rad/s counterclockwise about an axis through its center. A particle of mass M/3.20 and traveling horizontally at speed 43.0 m/s hits the rod and sticks. The particle's path is perpendicular to the rod at the instant of the hit, at a distance d from the rod's center. (a) At what value of d are rod and particle stationary after the hit? (b) In which direction do rod and particle rotate if d is greater than this value? Rotation axis Particle (a) Number Units (b) Use correct number of significant digits; the tolerance is +/-2%

Question
Chapter 11, Problem 067
The figure is an overhead view of a thin uniform rod of length 0.690 m and mass M rotating horizontally at 82.0 rad/s counterclockwise about an axis
through its center. A particle of mass M/3.20 and traveling horizontally at speed 43.0 m/s hits the rod and sticks. The particle's path is perpendicular to the
rod at the instant of the hit, at a distance d from the rod's center. (a) At what value of d are rod and particle stationary after the hit? (b) In which
direction do rod and particle rotate if d is greater than this value?
Rotation axis
Particle
(a) Number
Units
(b)
Use correct number of significant digits; the tolerance is +/-2%
Expand
Transcribed Image Text

Chapter 11, Problem 067 The figure is an overhead view of a thin uniform rod of length 0.690 m and mass M rotating horizontally at 82.0 rad/s counterclockwise about an axis through its center. A particle of mass M/3.20 and traveling horizontally at speed 43.0 m/s hits the rod and sticks. The particle's path is perpendicular to the rod at the instant of the hit, at a distance d from the rod's center. (a) At what value of d are rod and particle stationary after the hit? (b) In which direction do rod and particle rotate if d is greater than this value? Rotation axis Particle (a) Number Units (b) Use correct number of significant digits; the tolerance is +/-2%

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