1. A magnet of mass 4.44 kg is suspended from the ceiling by a cord as shown. A large magnet is somewhere off to the right, pulling on the small hanging magnet with a constant force of F = 65.3 N. At what angle theta ?with respect to the vertical does the magnet hang? 2. Consider the same situation as in the previous problem. This time the magnet has mass 6.75 kg and the force pulling the magnet to the right has magnitude 56.1 N. What is the magnitude of the tension force in the cord? 3. Same situation as in the previous two problems this time the magnet s mass is 4.56 kg and the magnetic force pulling it to the right is 117.2 N. The length of the cord is 1.97 m, and the ceiling is 2.68 m above the floor. Suppose that you cut the cord and the magnet falls to the floor while still being pulled to the right by the force of 117.2 N. How long will it take the magnet to hit the floor?

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1. A magnet of mass 4.44 kg is suspended from the ceiling by a cord as shown. A large magnet is somewhere off to the right, pulling on the small hanging magnet with a constant force of F = 65.3 N. At what angle theta ?with respect to the vertical does the magnet hang?

2. Consider the same situation as in the previous problem. This time the magnet has mass 6.75 kg and the force pulling the magnet to the right has magnitude 56.1 N. What is the magnitude of the tension force in the cord?

3. Same situation as in the previous two problems this time the magnet s mass is 4.56 kg and the magnetic force pulling it to the right is 117.2 N. The length of the cord is 1.97 m, and the ceiling is 2.68 m above the floor. Suppose that you cut the cord and the magnet falls to the floor while still being pulled to the right by the force of 117.2 N. How long will it take the magnet to hit the floor?

4. Same situation as in the previous problem this time the magnet has mass 7.30 kg, the force pulling it to the right is 114.0 N, the cord has length 1.05 m and the ceiling is 2.70 m above the floor. How far to the right of its start point will the magnet have traveled when it hits the floor after the cord is cut?

5. OK, one more time. This time the magnet has mass 5.76 kg and the force pulling it to the right is 58.4 N. When the magnet hits the floor, it continues being pulled to the right by the same magnetic force as before. The coefficient of kinetic friction between the magnet and the floor is 0.348. What will the magnet s acceleration be as it slides to the right along the floor? (Assume static friction is overcome and the magnet will slide.)

This image depicts a simple physical system involving a pendulum. The key components in the diagram include:

1. **Pendulum Structure**:
   - A mass (M), represented by a black dot, is attached to a string or rod.
   - This string or rod is of length \( L \) which is shown extending from a fixed pivot point to the mass.
   - The string makes an angle \( \theta \) with the vertical direction. This angle is indicated by a dashed line and labeled as \( \theta \).

2. **Forces Acting on the Mass**:
   - There is a force \( F_m \) acting horizontally on the mass. This is indicated by a horizontal arrow pointing to the right labeled \( F_m \).

This setup represents a common physical scenario where a pendulum is subjected to an external force. The key parameters to consider in such a system are the length \( L \) of the pendulum, the angle of displacement \( \theta \), and any external forces \( F_m \) acting on the mass. 

Understanding this diagram helps in analyzing the dynamics of pendulums, particularly in studying oscillatory motion, forces acting in a plane, and the effects of external forces on the equilibrium position. 

Such diagrams are fundamental in physics education as they visually represent the forces and motions that are described mathematically in classical mechanics.
Transcribed Image Text:This image depicts a simple physical system involving a pendulum. The key components in the diagram include: 1. **Pendulum Structure**: - A mass (M), represented by a black dot, is attached to a string or rod. - This string or rod is of length \( L \) which is shown extending from a fixed pivot point to the mass. - The string makes an angle \( \theta \) with the vertical direction. This angle is indicated by a dashed line and labeled as \( \theta \). 2. **Forces Acting on the Mass**: - There is a force \( F_m \) acting horizontally on the mass. This is indicated by a horizontal arrow pointing to the right labeled \( F_m \). This setup represents a common physical scenario where a pendulum is subjected to an external force. The key parameters to consider in such a system are the length \( L \) of the pendulum, the angle of displacement \( \theta \), and any external forces \( F_m \) acting on the mass. Understanding this diagram helps in analyzing the dynamics of pendulums, particularly in studying oscillatory motion, forces acting in a plane, and the effects of external forces on the equilibrium position. Such diagrams are fundamental in physics education as they visually represent the forces and motions that are described mathematically in classical mechanics.
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