1. A puck of mass m = 3 kg slides in a circle of radius r = 10.0 cm on table with a velocity of v = 2.0 m/sec while attached to a hanging cylinder of mass M = 3 kg by means of a cord that extends through a hole in the table, as shown in the figure below. a) Draw the free body diagram for each mass separately. b) What is the tension in the string? c) What is the coefficient of static friction, s, that keeps the cylinder at rest?

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1. A puck of mass \( m = 3 \, \text{kg} \) slides in a circle of radius \( r = 10.0 \, \text{cm} \) on a table with a velocity of \( v = 2.0 \, \text{m/sec} \) while attached to a hanging cylinder of mass \( M = 3 \, \text{kg} \) by means of a cord that extends through a hole in the table, as shown in the figure below.

a) Draw the free body diagram for each mass separately.

b) What is the tension in the string?

c) What is the coefficient of static friction, \( \mu_s \), that keeps the cylinder at rest?

**Diagram Explanation:**

The diagram illustrates a top view of a puck moving in a circular path on a flat table. The puck is connected to a hanging cylinder beneath the table by a string passing through a hole in the center. The string is taut, pulling the puck towards the center while the cylinder hangs freely. The radius \( r \) is marked showing the distance from the center of the circle to the puck's circular path. The velocity of the puck is tangential to the circle.
Transcribed Image Text:1. A puck of mass \( m = 3 \, \text{kg} \) slides in a circle of radius \( r = 10.0 \, \text{cm} \) on a table with a velocity of \( v = 2.0 \, \text{m/sec} \) while attached to a hanging cylinder of mass \( M = 3 \, \text{kg} \) by means of a cord that extends through a hole in the table, as shown in the figure below. a) Draw the free body diagram for each mass separately. b) What is the tension in the string? c) What is the coefficient of static friction, \( \mu_s \), that keeps the cylinder at rest? **Diagram Explanation:** The diagram illustrates a top view of a puck moving in a circular path on a flat table. The puck is connected to a hanging cylinder beneath the table by a string passing through a hole in the center. The string is taut, pulling the puck towards the center while the cylinder hangs freely. The radius \( r \) is marked showing the distance from the center of the circle to the puck's circular path. The velocity of the puck is tangential to the circle.
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