Answered: suspended from the ceiling by a cord as…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Please ONLY answer 3,4,5 im just posting 1 and 2 as reference

THANK YOU

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 diagram represents the dynamics of a simple pendulum. The key components of the diagram are explained below:

- **Pendulum Bob**: The pendulum bob is represented by the filled circle. This is the mass at the end of the pendulum.
- **String**: The string or rod that the pendulum bob is attached to is represented by the line from the top point to the pendulum bob. This has length \( L \).
- **Angle (θ)**: \( \theta \) represents the angle between the vertical and the string of the pendulum. This angle indicates the deviation of the pendulum from its equilibrium position.
- **Force \( F_m \)**: The vector labeled \( F_m \) shows the force acting on the pendulum bob.

### Detailed Components:

1. **Anchor Point**: The top point where the string is attached is the fixed point.
2. **Length (L)**: The length of the string or rod from the anchor point to the pendulum bob is denoted by \( L \).
3. **Equilibrium Position**: The vertical dashed line represents the equilibrium position where the string is aligned vertically.
4. **Displacement Angle (θ)**: The angle \( \theta \) represents the angular displacement from the equilibrium position.
5. **Force Vector (F_m)**: The arrow labeled \( F_m \) represents the force acting horizontally on the pendulum bob. This could be indicative of an external force applied to the pendulum bob.

In summary, the diagram illustrates the main forces and elements involved in the motion of a simple pendulum, which is a classic example studied in physics.

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