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1. In this lab, you will be rotating a mass on one side of a string that is balanced by a second mass on the other end of the string (Figure 5). Apply Newton's Second Law of Motion to mass 1, m1, and mass 2, m2, to solve for the period of mass 1. Hint: assume m1= 4m2. How is the centripetal force on mı related to the force of gravity on m2? Figure 5: Rotating mass.

1. In this lab, you will be rotating a mass on one side of a string that is balanced by a second mass on the other end of the string (Figure 5). Apply Newton's Second Law of Motion to mass 1, m1, and mass 2, m2, to solve for the period of mass 1. Hint: assume m1= 4m2. How is the centripetal force on mı related to the force of gravity on m2? Figure 5: Rotating mass.

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**Figure 3**: Swings at an amusement park exhibit a circular path of motion (white line). **Description**: The image depicts an amusement park ride, specifically swings that rotate around a central column. The swings are suspended from a circular structure at the top of the tower and follow a circular trajectory as the ride operates. The white line illustrates the path taken by the swings, which is circular due to the rotational motion facilitated by the ride's design. This represents an example of centripetal force in action, where the tension in the swing chains and the circular motion keep the swings from moving in a straight line.
Transcribed Image Text:**Figure 3**: Swings at an amusement park exhibit a circular path of motion (white line). **Description**: The image depicts an amusement park ride, specifically swings that rotate around a central column. The swings are suspended from a circular structure at the top of the tower and follow a circular trajectory as the ride operates. The white line illustrates the path taken by the swings, which is circular due to the rotational motion facilitated by the ride's design. This represents an example of centripetal force in action, where the tension in the swing chains and the circular motion keep the swings from moving in a straight line.
## Lab Exercise: Rotational Motion and Centripetal Force ### 1. Rotating Mass on a String In this lab, you will rotate a mass on one side of a string balanced by a second mass on the other end (Figure 5). Apply Newton's Second Law of Motion to mass 1, \( m_1 \), and mass 2, \( m_2 \), to solve for the period of mass 1. **Hint:** Assume \( m_1 = 4m_2 \). How is the centripetal force on \( m_1 \) related to the gravitational force on \( m_2 \)? #### Figure 5: Rotating Mass - The diagram shows a vertical support with a string attached to two masses. Mass \( m_1 \) is rotating in a horizontal circle, and mass \( m_2 \) hangs vertically. ### 2. Amusement Park Ride Dynamics Draw a free body diagram and solve for the centripetal acceleration in terms of \( \theta \) and \( g \) for one person riding on the amusement park ride (see Figure 3). ### 3. Yo-yo "Around the World" Trick This trick is completed when you twirl a yo-yo in a vertical circle. If the yo-yo is in uniform circular motion, compare the force of tension at the top to the force of tension at the bottom of the circle. **Hint:** Drawing a free body diagram will be helpful.
Transcribed Image Text:## Lab Exercise: Rotational Motion and Centripetal Force ### 1. Rotating Mass on a String In this lab, you will rotate a mass on one side of a string balanced by a second mass on the other end (Figure 5). Apply Newton's Second Law of Motion to mass 1, \( m_1 \), and mass 2, \( m_2 \), to solve for the period of mass 1. **Hint:** Assume \( m_1 = 4m_2 \). How is the centripetal force on \( m_1 \) related to the gravitational force on \( m_2 \)? #### Figure 5: Rotating Mass - The diagram shows a vertical support with a string attached to two masses. Mass \( m_1 \) is rotating in a horizontal circle, and mass \( m_2 \) hangs vertically. ### 2. Amusement Park Ride Dynamics Draw a free body diagram and solve for the centripetal acceleration in terms of \( \theta \) and \( g \) for one person riding on the amusement park ride (see Figure 3). ### 3. Yo-yo "Around the World" Trick This trick is completed when you twirl a yo-yo in a vertical circle. If the yo-yo is in uniform circular motion, compare the force of tension at the top to the force of tension at the bottom of the circle. **Hint:** Drawing a free body diagram will be helpful.
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