a) a) A thin rod of mass M = 0.5 kg and length L= 8 m is attached to a frictionless table and is struck at a point L/4 from its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates after the collision. Consider the clay ball as a point object, therefore Iday = mr?. Calculate the moment of inertia relative to the point of rotation Q immediately after the collision. Hint: find r for the clay ball (distance from the point of rotation to the object). Apply the parallel axis theorem for the rod Irod = ICM rod + Md², find d for the rod (distance from the point of rotation Q to the center of mass of the rod). b) CMod b) A thin rod of mass M = 0.5 kg and length L = 8 m is initially at rest on a frictionless table and is struck at a point L/4 from its CM (as shown) by a clay ball of mass m =1 kg moving at some speed. The ball sticks to the rod and rotates after the collision. Consider the clay ball as a point object, therefore lday = mr?. Calculate the moment of inertia relative to the center of mass of the system immediately after the collision. Hint: find the center of mass of the system, then find r for the clay ball (distance from the center of mass of the system to the object). Apply the parallel axis theorem for the rod Irod = IcM rod + Md?, find d for the rod (distance from the center of mass of the system to the center of mass of the rod).
a) a) A thin rod of mass M = 0.5 kg and length L= 8 m is attached to a frictionless table and is struck at a point L/4 from its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates after the collision. Consider the clay ball as a point object, therefore Iday = mr?. Calculate the moment of inertia relative to the point of rotation Q immediately after the collision. Hint: find r for the clay ball (distance from the point of rotation to the object). Apply the parallel axis theorem for the rod Irod = ICM rod + Md², find d for the rod (distance from the point of rotation Q to the center of mass of the rod). b) CMod b) A thin rod of mass M = 0.5 kg and length L = 8 m is initially at rest on a frictionless table and is struck at a point L/4 from its CM (as shown) by a clay ball of mass m =1 kg moving at some speed. The ball sticks to the rod and rotates after the collision. Consider the clay ball as a point object, therefore lday = mr?. Calculate the moment of inertia relative to the center of mass of the system immediately after the collision. Hint: find the center of mass of the system, then find r for the clay ball (distance from the center of mass of the system to the object). Apply the parallel axis theorem for the rod Irod = IcM rod + Md?, find d for the rod (distance from the center of mass of the system to the center of mass of the rod).
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![a)
a) A thin rod of mass M = 0.5 kg and length L= 8 m is attached to a frictionless table and is struck at a point L/4 from
its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates after the
collision. Consider the clay ball as a point object, therefore Iday = mr?. Calculate the moment of inertia relative to the
point of rotation Q immediately after the collision.
Hint: find r for the clay ball (distance from the point of rotation to the object). Apply the parallel axis theorem for the
rod Irod = ICM rod + Md?, find d for the rod (distance from the point of rotation Q to the center of mass of the rod).
b)
CMod.
b) A thin rod of mass M = 0.5 kg and length L = 8 m is initially at rest on a frictionless table and is struck at a point L/4
from its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates
after the collision. Consider the clay ball as a point object, therefore Iclay = mr2. Calculate the moment of inertia
relative to the center of mass of the system immediately after the collision.
Hint: find the center of mass of the system, then find r for the clay ball (distance from the center of mass of the system
to the object). Apply the parallel axis theorem for the rod Irod = ICM rod + Md², find d for the rod (distance from the
center of mass of the system to the center of mass of the rod).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6417524f-4f66-4c86-bc5b-da6445a1e1c5%2F33827f2e-e067-4280-8c13-8c15a0c54410%2Falmietk_processed.png&w=3840&q=75)
Transcribed Image Text:a)
a) A thin rod of mass M = 0.5 kg and length L= 8 m is attached to a frictionless table and is struck at a point L/4 from
its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates after the
collision. Consider the clay ball as a point object, therefore Iday = mr?. Calculate the moment of inertia relative to the
point of rotation Q immediately after the collision.
Hint: find r for the clay ball (distance from the point of rotation to the object). Apply the parallel axis theorem for the
rod Irod = ICM rod + Md?, find d for the rod (distance from the point of rotation Q to the center of mass of the rod).
b)
CMod.
b) A thin rod of mass M = 0.5 kg and length L = 8 m is initially at rest on a frictionless table and is struck at a point L/4
from its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates
after the collision. Consider the clay ball as a point object, therefore Iclay = mr2. Calculate the moment of inertia
relative to the center of mass of the system immediately after the collision.
Hint: find the center of mass of the system, then find r for the clay ball (distance from the center of mass of the system
to the object). Apply the parallel axis theorem for the rod Irod = ICM rod + Md², find d for the rod (distance from the
center of mass of the system to the center of mass of the rod).
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