A 2 kg mass and a 6 kg mass are attached to either end of a 3 m long massless rod. a.) Find the center of mass of the system. m, from the 2 kg mass. Find the rotational inertia (I) of the system when rotated about: b.) the end with the 2 kg mass. kg m2 c.) the end with the 6 kg mass. kg m2

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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 59P: A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m)...
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A 2 kg mass and a 6 kg mass are attached to either end of a 3 m long massless rod.
a.) Find the center of mass of the system.
m, from the 2 kg mass.
Find the rotational inertia (I) of the system when rotated about:
b.) the end with the 2 kg mass.
kg m2
c.) the end with the 6 kg mass.
kg m2
d.) the center of the rod.
kg m2
e.) the center of mass of the system.
kg m2
(Compare this to parts b-d. Is this what you expect?)
f.) Suppose a frictionless pivot is attached at the center of mass, such that the system is free to rotate about this point in the horizontal plane. A force of 6 N is exerted perpendicular to the rod,
pushing directly on the 6 kg mass. What is the size of the system's angular acceleration that would result?
rad/s?
Transcribed Image Text:A 2 kg mass and a 6 kg mass are attached to either end of a 3 m long massless rod. a.) Find the center of mass of the system. m, from the 2 kg mass. Find the rotational inertia (I) of the system when rotated about: b.) the end with the 2 kg mass. kg m2 c.) the end with the 6 kg mass. kg m2 d.) the center of the rod. kg m2 e.) the center of mass of the system. kg m2 (Compare this to parts b-d. Is this what you expect?) f.) Suppose a frictionless pivot is attached at the center of mass, such that the system is free to rotate about this point in the horizontal plane. A force of 6 N is exerted perpendicular to the rod, pushing directly on the 6 kg mass. What is the size of the system's angular acceleration that would result? rad/s?
Approximate a fishing reel to be two solid disks, each of radius 4.8 cm and combined mass 0.87 kg which can rotate without friction. String (of negligible mass) is wrapped around the reel (between
the disks) all the way to its edge (see Fig 1a). The fishing line is strung with bait and left at rest in the water. A fish then suddenly takes the bait and applies a constant force of 2.4 N on the fishing
line, pulling the reel counterclockwise.
Fig la
Fig 1b
(a) What is the angular acceleration of the fishing reel?
à =
rad/s2
(b) Immediately after taking the bait, how much fishing line does the fish pull from the reel in 0.35 s?
(Assume this time interval is short enough that radius of the fishing line wrapped around the reel does not appreciably change during it.)
line pulled off =
cm
(c) Suppose instead this fisherman had cast his bait much further out, so that the fishing line left on the reel was only halfway out to the edge (see Fig 1b). If all other givens are the same,
re-answer parts a & b.
à =
rad/s?
line pulled off =
cm
Transcribed Image Text:Approximate a fishing reel to be two solid disks, each of radius 4.8 cm and combined mass 0.87 kg which can rotate without friction. String (of negligible mass) is wrapped around the reel (between the disks) all the way to its edge (see Fig 1a). The fishing line is strung with bait and left at rest in the water. A fish then suddenly takes the bait and applies a constant force of 2.4 N on the fishing line, pulling the reel counterclockwise. Fig la Fig 1b (a) What is the angular acceleration of the fishing reel? à = rad/s2 (b) Immediately after taking the bait, how much fishing line does the fish pull from the reel in 0.35 s? (Assume this time interval is short enough that radius of the fishing line wrapped around the reel does not appreciably change during it.) line pulled off = cm (c) Suppose instead this fisherman had cast his bait much further out, so that the fishing line left on the reel was only halfway out to the edge (see Fig 1b). If all other givens are the same, re-answer parts a & b. à = rad/s? line pulled off = cm
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