Finding Maximum Weight on a Ramp with Coefficients of Friction

In summary, the conversation is about finding the maximum weight needed to hold a crate stationary on a ramp with specific angles and coefficients of friction. The solution to this problem is 1380N and it can be found by drawing a free body diagram and using vector sum to find the weight.
  • #1
kari82
37
0
I have the solution of this problem, but I would like someone to give me some guidance on how to begin solving the problem. Thanks!

A 1520-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see Fig. CH 5-6.15). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are µk = 0.450 and µs = 0.650. The pulley has no appreciable mass or friction. What is the maximum weight w needed to hold this crate stationary on the ramp?

solution= 1380N
 

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  • #2
draw a free body diagram of the crate. vector sum of horizontal forces as well as vertical forces will be zero. from this u can find w.
 

FAQ: Finding Maximum Weight on a Ramp with Coefficients of Friction

What does "Find the maximum weight" mean?

"Find the maximum weight" refers to determining the heaviest possible weight that can be achieved within a given set of parameters or constraints.

Why is finding the maximum weight important?

Finding the maximum weight can be important in various fields such as engineering, physics, and statistics, as it allows us to understand the potential limits or capabilities of a system or object. It can also help in decision-making processes, such as determining the strongest material to use for a bridge or the maximum load a vehicle can carry.

How is the maximum weight calculated?

The method for calculating the maximum weight depends on the specific scenario. In general, it involves identifying the relevant factors and constraints, and then using mathematical equations or simulations to determine the maximum weight that can be achieved.

What are some real-world applications of finding the maximum weight?

Some examples of real-world applications include optimizing the weight capacity of airplanes, determining the maximum load a crane can lift, and finding the maximum weight a structure can support. It can also be used in data analysis to identify the maximum value in a dataset.

What are some common techniques used to find the maximum weight?

Some common techniques include linear programming, gradient descent, and brute force algorithms. Other methods may involve statistical analysis, simulation, or optimization algorithms. The specific technique used will depend on the problem at hand and the available resources.

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