1. A bug is on the surface of a small wheel, which is a solid disk. The wheel is oriented horizontally (so you don't need to worry about gravity). The wheel is free to rotate about its fixed axis, O, with no friction. The bug has mass 50 g, and the wheel has mass 1600 g. The radius of the wheel is 500 millimeters. Initially, the bug stands at rest on the surface, which is initially not rotating. a) The bug starts running 10 mm/s on the surface, relative to an at-rest outside observer. What is the angular momentum of the bug, and the new angular velocity of the wheel? The moment of inertia of a solid disk is MR². b) The bug stops running, and the wheel stops spinning again. A large 100 g dust particle is floating by at a velocity of 20 mm/s, tangential to the surface. The bug grabs onto it, while staying fastened to its spot on the surface. What is the new rotational velocity of the wheel (and the bug)?
1. A bug is on the surface of a small wheel, which is a solid disk. The wheel is oriented horizontally (so you don't need to worry about gravity). The wheel is free to rotate about its fixed axis, O, with no friction. The bug has mass 50 g, and the wheel has mass 1600 g. The radius of the wheel is 500 millimeters. Initially, the bug stands at rest on the surface, which is initially not rotating. a) The bug starts running 10 mm/s on the surface, relative to an at-rest outside observer. What is the angular momentum of the bug, and the new angular velocity of the wheel? The moment of inertia of a solid disk is MR². b) The bug stops running, and the wheel stops spinning again. A large 100 g dust particle is floating by at a velocity of 20 mm/s, tangential to the surface. The bug grabs onto it, while staying fastened to its spot on the surface. What is the new rotational velocity of the wheel (and the bug)?
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A bug is on the surface of a small wheel, which is a solid disk.
Transcribed Image Text:1. A bug is on the surface of a small wheel, which is a solid disk. The wheel is oriented horizontally (so you
don't need to worry about gravity). The wheel is free to rotate about its fixed axis, O, with no friction.
The bug has mass 50 g, and the wheel has mass 1600 g. The radius of the wheel is 500 millimeters.
Initially, the bug stands at rest on the surface, which is initially not rotating.
a) The bug starts running 10 mm/s on the surface, relative to an at-rest outside observer. What is the
angular momentum of the bug, and the new angular velocity of the wheel? The moment of inertia of a
solid disk is MR².
b) The bug stops running, and the wheel stops spinning again. A large 100 g dust particle is floating by
at a velocity of 20 mm/s, tangential to the surface. The bug grabs onto it, while staying fastened to its
spot on the surface. What is the new rotational velocity of the wheel (and the bug)?
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