A well has a bucket is strung over a pulley wheel with a rope. The bucket is initially at rest, but then gradually falls to the falls to the surface of the water below. (a) Choose the following values. None of them can be 0.  i. The initial height of the base of the bucket to the water  ii. The mass of the bucket  iii. The mass of the pulley wheel  iv. The radius of the pulley wheel (b) Draw a picture of the (c) Set origin and axes. (d) Use Conservation of Energy to find the velocity of the bucket and the angular velocity of the pulley wheel when the bucket hits the surface of the water. (e) Use Kinematics to calculate the values of all 5 angular kinematic quantities for the wheel (angular displacement, initial and final velocities, acceleration and time) and all 5 linear kinematic quantities for the bucket. (f) Calculate the torque on the pulley wheel and the tension in the rope.

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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. A well has a bucket is strung over a pulley wheel with a rope. The bucket is initially at rest, but

then gradually falls to the falls to the surface of the water below.

(a) Choose the following values. None of them can be 0.

 i. The initial height of the base of the bucket to the water

 ii. The mass of the bucket

 iii. The mass of the pulley wheel

 iv. The radius of the pulley wheel

(b) Draw a picture of the

(c) Set origin and axes.

(d) Use Conservation of Energy to find the velocity of the bucket and the angular velocity of

the pulley wheel when the bucket hits the surface of the water.

(e) Use Kinematics to calculate the values of all 5 angular kinematic quantities for the wheel

(angular displacement, initial and final velocities, acceleration and time) and all 5 linear

kinematic quantities for the bucket.

(f) Calculate the torque on the pulley wheel and the tension in the rope.

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