A block (which you should treat like a point particle) has mass m = 0.28 kg and slides with initial speed vo. It hits and sticks a distance D = 0.578 from the center of a horizontal rod of length L = 1.7 m and mass M = 0.46 kg, which is initially at rest and oriented perpendicular to the path of the block. Everything is on top of a horizontal frictionless table, and the rod has a fixed frictionless pivot through its center that allows it to rotate freely but keeps its center from moving.

College Physics
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Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 58AP
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M
Top View of
horizontal table
D
Vo
m
A block (which you should treat like a point particle) has mass m = 0.28 kg and slides with initial speed vo. It hits and
sticks a distance D = 0.578 from the center of a horizontal rod of length L = 1.7 m and mass M = 0.46 kg, which is initially
at rest and oriented perpendicular to the path of the block. Everything is on top of a horizontal frictionless table,
and the rod has a fixed frictionless pivot through its center that allows it to rotate freely but keeps its center from
moving.
After the block hits the rod they rotate together with a constant angular velocity of w = 9.1 rad/sec. What was the
initial speed of the block?
vo = 11.49 m/s
vo = 6.23 m/s
%3D
vo = 5.26 m/s
vo = 7.77 m/s
vo = 5.72 m/s
Which of the following statements best describes the external forces and torques acting on the rod-block system
during the collision?
The total external torque around the pivot is not zero, but the total external force on the system is zero.
Both the total external torque around the pivot and the total external force on the system are zero.
The total external torque around the pivot is zero, but the total external force on the system is not zero.
Transcribed Image Text:M Top View of horizontal table D Vo m A block (which you should treat like a point particle) has mass m = 0.28 kg and slides with initial speed vo. It hits and sticks a distance D = 0.578 from the center of a horizontal rod of length L = 1.7 m and mass M = 0.46 kg, which is initially at rest and oriented perpendicular to the path of the block. Everything is on top of a horizontal frictionless table, and the rod has a fixed frictionless pivot through its center that allows it to rotate freely but keeps its center from moving. After the block hits the rod they rotate together with a constant angular velocity of w = 9.1 rad/sec. What was the initial speed of the block? vo = 11.49 m/s vo = 6.23 m/s %3D vo = 5.26 m/s vo = 7.77 m/s vo = 5.72 m/s Which of the following statements best describes the external forces and torques acting on the rod-block system during the collision? The total external torque around the pivot is not zero, but the total external force on the system is zero. Both the total external torque around the pivot and the total external force on the system are zero. The total external torque around the pivot is zero, but the total external force on the system is not zero.
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