d) A cord is now wrapped around the cylinder. Use the work energy theorem to find the angular velocity of the cylinder after 5.0m of cord have been removed by a 40N Force. e) If the 40N force on the cord is replaced by a 40-N weight, what is the angular velocity of the cylinder after 5.0m of cord has unwound?

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Chapter1: Units, Trigonometry. And Vectors
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D and E
2. A 0.02 kg mass red object (bead) is moving at a speed of 10.0 m/s when it sticks to the edge
of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and has
a mass of 0.5 kg , a radius of 0.25 m and is initially at rest. I = ½MR?
10 m/s
40 N
40 N
Before
After
a) What is the angular velocity of the system after the collision?
b) How much kinetic energy is lost in the collision?
c) If the angular position of the Cylinder varies as 0(t)=3.2t-t² find the centripetal
acceleration of the red object (bead).
d) A cord is now wrapped around the cylinder. Use the work energy theorem to find the
angular velocity of the cylinder after 5.0m of cord have been removed by a 40N Force.
e) If the 40N force on the cord is replaced by a 40-N weight, what is the angular velocity of
the cylinder after 5.0m of cord has unwound?
Transcribed Image Text:2. A 0.02 kg mass red object (bead) is moving at a speed of 10.0 m/s when it sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and has a mass of 0.5 kg , a radius of 0.25 m and is initially at rest. I = ½MR? 10 m/s 40 N 40 N Before After a) What is the angular velocity of the system after the collision? b) How much kinetic energy is lost in the collision? c) If the angular position of the Cylinder varies as 0(t)=3.2t-t² find the centripetal acceleration of the red object (bead). d) A cord is now wrapped around the cylinder. Use the work energy theorem to find the angular velocity of the cylinder after 5.0m of cord have been removed by a 40N Force. e) If the 40N force on the cord is replaced by a 40-N weight, what is the angular velocity of the cylinder after 5.0m of cord has unwound?
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