3. A rod with a mass of 10kg and a total length of 2 meters that can spin about an axis through its center (I = ML² ) receives a constant force of 5 N on one of its ends. As the rod spins, the force will maintain the same strength and orientation i.e., angled at 60 degrees with respect to the rod. The rod is initially at rest. Total Length Axis 60 deg a. How many radians does the rod sweep through after a period of 10 seconds?

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**Problem 3: Rotational Motion of a Rod**

A rod with a mass of 10 kg and a total length of 2 meters can spin about an axis through its center \((I = \frac{1}{12} ML^2)\). It receives a constant force of 5 N on one of its ends. As the rod spins, the force maintains the same strength and orientation, i.e., angled at 60 degrees with respect to the rod. The rod is initially at rest.

**Diagram Description:**

The diagram shows a horizontal rod labeled "Total Length" with an axis at its center. A force \(F\) is applied at one end of the rod at a 60-degree angle to the length of the rod.

**Questions:**

a. How many radians does the rod sweep through after a period of 10 seconds?

b. What is the speed of a point on the end of the rod at that same moment?
Transcribed Image Text:**Problem 3: Rotational Motion of a Rod** A rod with a mass of 10 kg and a total length of 2 meters can spin about an axis through its center \((I = \frac{1}{12} ML^2)\). It receives a constant force of 5 N on one of its ends. As the rod spins, the force maintains the same strength and orientation, i.e., angled at 60 degrees with respect to the rod. The rod is initially at rest. **Diagram Description:** The diagram shows a horizontal rod labeled "Total Length" with an axis at its center. A force \(F\) is applied at one end of the rod at a 60-degree angle to the length of the rod. **Questions:** a. How many radians does the rod sweep through after a period of 10 seconds? b. What is the speed of a point on the end of the rod at that same moment?
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