The top edge of a thin rectangular metal plate with a mass of 2.80 kg is attached to a horizontal rod parallel to the edge of the plate. The plate hangs from this rod and is free to rotate about it without friction. The vertical height of the plate is 40.0 cm. The plate is pulled to the right until it makes an angle of 27.0° from vertical and then released from rest. At the same time, a piece of clay is tossed at the plate, moving to the right. At the moment the plate reaches vertical, moving left, it collides with the clay. The piece of clay strikes the plate at its bottom edge, moving to the right perpendicular to the plate at the moment of impact. Its mass is 350 g and its speed just before impact is 160 cm/s. The clay sticks to the plate after impact. (a) What is the angular speed (in rad/s) of the plate the instant before it collides with the clay? (Round your answer to at least two decimal places.) rad/s (b) What is the angular speed (in rad/s) of the plate-clay system immediately after the collision? rad/s (c) What is the magnitude of the maximum angular displacement from the vertical (in degrees) that the plate-clay system will reach after the collision?
The top edge of a thin rectangular metal plate with a mass of 2.80 kg is attached to a horizontal rod parallel to the edge of the plate. The plate hangs from this rod and is free to rotate about it without friction. The vertical height of the plate is 40.0 cm. The plate is pulled to the right until it makes an angle of 27.0° from vertical and then released from rest. At the same time, a piece of clay is tossed at the plate, moving to the right. At the moment the plate reaches vertical, moving left, it collides with the clay. The piece of clay strikes the plate at its bottom edge, moving to the right perpendicular to the plate at the moment of impact. Its mass is 350 g and its speed just before impact is 160 cm/s. The clay sticks to the plate after impact. (a) What is the angular speed (in rad/s) of the plate the instant before it collides with the clay? (Round your answer to at least two decimal places.) rad/s (b) What is the angular speed (in rad/s) of the plate-clay system immediately after the collision? rad/s (c) What is the magnitude of the maximum angular displacement from the vertical (in degrees) that the plate-clay system will reach after the collision?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 75P: A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R...
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Transcribed Image Text:The top edge of a thin rectangular metal plate with a mass of 2.80 kg is attached to a horizontal rod parallel to the edge of the plate. The plate hangs from this rod and is free to rotate about it without friction.
The vertical height of the plate is 40.0 cm. The plate is pulled to the right until it makes an angle of 27.0° from vertical and then released from rest. At the same time, a piece of clay is tossed at the plate, moving
to the right. At the moment the plate reaches vertical, moving left, it collides with the clay. The piece of clay strikes the plate at its bottom edge, moving to the right perpendicular to the plate at the moment of
impact. Its mass is 350 g and its speed just before impact is 160 cm/s. The clay sticks to the plate after impact.
(a) What is the angular speed (in rad/s) of the plate the instant before it collides with the clay? (Round your answer to at least two decimal places.)
rad/s
(b) What is the angular speed (in rad/s) of the plate-clay system immediately after the collision?
rad/s
(c) What is the magnitude of the maximum angular displacement from the vertical (in degrees) that the plate-clay system will reach after the collision?
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