75. Il Figure P9.75 shows a 100 g puck revolving at 100 rpm on INT a 20-cm-radius circle on a frictionless table. A string attached 100 g 20 cm to the puck passes through a hole in the middle of the table. The end of the string below the table is then slowly pulled down until the puck is revolving in a 10-cm-radius circle. How many revolutions per minute does the puck make at this new radius? FIGURE P9.75
75. Il Figure P9.75 shows a 100 g puck revolving at 100 rpm on INT a 20-cm-radius circle on a frictionless table. A string attached 100 g 20 cm to the puck passes through a hole in the middle of the table. The end of the string below the table is then slowly pulled down until the puck is revolving in a 10-cm-radius circle. How many revolutions per minute does the puck make at this new radius? FIGURE P9.75
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![### Classical Mechanics: Rotational Motion Problems
#### Problem 75:
**Figure P9.75** depicts a 100 g puck revolving at 100 rpm on a 20-cm-radius circle on a frictionless table. A string attached to the puck passes through a hole in the middle of the table. The end of the string below the table is then slowly pulled down until the puck is revolving in a 10-cm-radius circle. How many revolutions per minute does the puck make at this new radius?
**Explanation of the Diagram in Figure P9.75:**
- The diagram shows a hand pulling on a string beneath a table.
- On the table's surface, a 100 g puck is seen revolving in a circular path.
- The puck initially revolves in a circle with a 20 cm radius.
- An arrow is drawn to indicate the direction of the puck's rotation.
- The string is shown passing through a hole in the center of the table and being manipulated to change the radius of the puck's circular path.
#### Problem 76:
A 2.0 kg, 20-cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 500 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diagonal, and stick. What is the new rate of rotation of the turntable?
To understand these problems, review concepts related to angular momentum conservation, centripetal force, and rotational kinematics. The problems presented blend theoretical understanding with practical application, enhancing comprehension of rotational dynamics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b47dd07-9dca-411e-981f-312dfe7288cb%2F200eefb3-7cff-4e89-b4be-323812f0a324%2Fagv1ka_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Classical Mechanics: Rotational Motion Problems
#### Problem 75:
**Figure P9.75** depicts a 100 g puck revolving at 100 rpm on a 20-cm-radius circle on a frictionless table. A string attached to the puck passes through a hole in the middle of the table. The end of the string below the table is then slowly pulled down until the puck is revolving in a 10-cm-radius circle. How many revolutions per minute does the puck make at this new radius?
**Explanation of the Diagram in Figure P9.75:**
- The diagram shows a hand pulling on a string beneath a table.
- On the table's surface, a 100 g puck is seen revolving in a circular path.
- The puck initially revolves in a circle with a 20 cm radius.
- An arrow is drawn to indicate the direction of the puck's rotation.
- The string is shown passing through a hole in the center of the table and being manipulated to change the radius of the puck's circular path.
#### Problem 76:
A 2.0 kg, 20-cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 500 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diagonal, and stick. What is the new rate of rotation of the turntable?
To understand these problems, review concepts related to angular momentum conservation, centripetal force, and rotational kinematics. The problems presented blend theoretical understanding with practical application, enhancing comprehension of rotational dynamics.
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