What is the maximum acceleration a truck can have to keep a crate in place?

In summary, friction homework involves understanding and applying the concepts of contact and sliding friction, as well as the factors that affect them such as weight, surface texture, and lubrication. It also involves solving problems and calculating the coefficient of friction. By completing friction homework, students gain a better understanding of how friction impacts everyday life and various mechanical systems. It also helps them develop critical thinking and problem-solving skills that can be applied in real-world situations.
  • #1
FLANKER
A flatbed truck is carrying a 69.5 kg crate along a level road. The coefficient of static friction between the crate and the bed is 0.400. What is the maximum acceleration that the truck can have if the crate is to stay in place?
 
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  • #2
Can you first calculate the force on the crate due to friction? Hint: F = [mu]s m g.

Then how about using Newton's second law, F = ma?

- Warren

edit: typo
 
Last edited:
  • #3


To answer this question, we can use the equation Ff = μN, where Ff is the force of friction, μ is the coefficient of static friction, and N is the normal force. In this case, the normal force is equal to the weight of the crate, which is mg, where m is the mass of the crate and g is the acceleration due to gravity (9.8 m/s^2).

Plugging in the given values, we get Ff = (0.400)(69.5 kg)(9.8 m/s^2) = 271.6 N. This means that in order for the crate to stay in place, the maximum force that can be applied to the crate is 271.6 N.

We can then use Newton's second law, F = ma, where F is the net force and a is the acceleration. Since we know the maximum force that can be applied (271.6 N) and the mass of the crate (69.5 kg), we can solve for the maximum acceleration:

271.6 N = (69.5 kg)a
a = 271.6 N / 69.5 kg = 3.91 m/s^2

Therefore, the maximum acceleration that the truck can have is 3.91 m/s^2. Any acceleration greater than this would cause the crate to start moving and potentially slide off the truck. It is important for the truck driver to be aware of this limit and drive accordingly to ensure the safety of the cargo.
 

1. What is friction?

Friction is a force that resists the relative motion between two surfaces that are in contact with each other. It is caused by the irregularities on the surfaces that create resistance when they come into contact.

2. What factors affect friction?

The amount of friction between two surfaces is affected by factors such as the type of materials, the roughness of the surfaces, the force applied, and the temperature.

3. How is friction measured?

Friction is measured using a device called a friction force sensor, which measures the force required to move one surface against another. The unit of measurement for friction is Newtons (N).

4. How does friction affect motion?

Friction can either increase or decrease the speed of an object depending on the direction of the force applied. For example, friction can slow down a moving object, but it can also provide the necessary force to start the motion of an object at rest.

5. How can friction be reduced?

Friction can be reduced by using lubricants such as oil or grease, which create a thin layer between the two surfaces and reduce the contact between them. Smoother surfaces can also reduce friction, as well as reducing the force applied.

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