Two Crates Connected with Rope: Analyzing Force & Acceleration

In summary, the given conversation discusses the components of an applied force, the magnitudes of friction forces, the acceleration of crates, and the tension in the rope in a system consisting of two crates connected by a rope and an applied force of 131 N with an elevation angle of 37.0°. The mass m1 does not come off the ground due to a coefficient of friction of 0.328.
  • #1
cesczenith4
1
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Two crates (m1 = 10.9 kg and m2 = 16.0 kg) are connected with a rope as shown. An applied force of 131 N with an elevation angle of 37.0° applied to m1 accelerates the masses to the right. The mass m1 does not come off the ground, which has a coefficient of friction of 0.328.

http://www.webassign.net/userimages/two%20crates%20rope%20elevation%20angle.jpg?db=v4net&id=131888

A. What are the components of the applied force?
FAX: FAY:
B. What are the magnitudes of the friction forces on each crate?
FF1: FF2:
C. What is the acceleration of the crates?
D. What is the tension in the rope?
 
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  • #2
A. The components of the applied force are FAX = 105.9 N and FAY = 97.2 N. B. The magnitudes of the friction forces on each crate are FF1 = 3.5 N and FF2 = 5.3 N. C. The acceleration of the crates is 4.71 m/s2. D. The tension in the rope is 102.7 N.
 

FAQ: Two Crates Connected with Rope: Analyzing Force & Acceleration

What is the purpose of the "Two Crates Connected with Rope" experiment?

The purpose of this experiment is to analyze the relationship between force and acceleration in a system of two connected crates. This will help us understand the concept of Newton's Second Law of Motion and how it applies to real-world scenarios.

How do you set up the experiment?

To set up the experiment, you will need two crates of equal mass, a rope, a pulley, and a weight. Attach one end of the rope to the first crate and the other end to the weight. Then, place the second crate on a flat surface and connect it to the weight using the pulley. Make sure the rope is taut and the crates are not touching each other.

What measurements do you need to take during the experiment?

During the experiment, you will need to measure the mass of the crates, the weight, and the length of the rope. You will also need to record the time it takes for the crates to move a certain distance, as well as the distance they move.

How do you calculate the force and acceleration in this experiment?

To calculate the force, you will need to use Newton's Second Law of Motion, which states that force equals mass times acceleration (F=ma). In this experiment, the force can be calculated by multiplying the weight by the acceleration of the crates. The acceleration can be calculated by dividing the distance the crates moved by the time it took for them to move.

What are some factors that could affect the results of this experiment?

There are a few factors that could affect the results of this experiment. These include friction between the crates and the surface they are on, the weight and mass of the crates, and the tension in the rope. It is important to control these factors as much as possible to ensure accurate results.

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