How Is the Force on Object B Expressed in Terms of Acceleration a?

In summary, the force work on object B in terms of a is determined by drawing a Free Body Diagram and using Newton's laws in the x and y direction to solve for the minimum acceleration required. The friction force must be equal to the force of the object's weight for static equilibrium in the y direction.
  • #1
sedaw
62
0
View attachment Cart drive right with acceleration of a.pdf


what is the force work on object B in terms of a ?

i know that the frictinon should be bigger than the force mBg for that the object will not fall down.
but how to express it in terms of a ??

TNX .
 
Physics news on Phys.org
  • #2
sedaw said:
View attachment 15262


what is the force work on object B in terms of a ?
If you are looking for the forces acting on B, you must draw a Free Body Diagram of that object, and identify all the forces acting on it, including its weight, the friction force, and the normal force between the 2 blocks. Use Newton's laws in the x and y direction to solve for the minimum acceleration required.
i know that the frictinon should be bigger than the force mBg for that the object will not fall down.
It can't be bigger; for static equilibrium in the y direction, it must be the same.
 
  • #3


According to Newton's laws of motion, the force acting on an object (B) is equal to its mass (m) multiplied by its acceleration (a), or F=ma. In this case, the force (F) is the force of friction, which is opposing the motion of the object. This force must be greater than the force of gravity (mBg) in order to prevent the object from falling down. Therefore, the expression for the force of friction in terms of acceleration would be F=ma > mBg. This means that the acceleration must be greater than the force of gravity divided by the mass in order to counteract the force and keep the object in place. I hope this helps clarify the relationship between force, mass, and acceleration in this scenario.
 

Related to How Is the Force on Object B Expressed in Terms of Acceleration a?

1. What are Newton's laws of motion?

Newton's laws of motion are three fundamental principles that describe the behavior of objects in motion. They were developed by Sir Isaac Newton in the 17th century and are still widely used in physics today.

2. What is the first law of motion?

The first law of motion, also known as the Law of Inertia, states that an object will remain at rest or continue at a constant velocity unless acted upon by an external force. This means that an object will not change its state of motion unless a force is applied to it.

3. What is the second law of motion?

The second law of motion, also known as the Law of Acceleration, states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the greater the force applied to an object, the greater its acceleration will be, and the more massive the object, the less it will accelerate.

4. What is the third law of motion?

The third law of motion, also known as the Law of Action and Reaction, states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object will exert an equal and opposite force back on the first object.

5. How do Newton's laws of motion apply to real-life situations?

Newton's laws of motion can be applied to a wide range of real-life situations, from the motion of objects on Earth to the motion of planets in space. For example, the first law explains why objects stay in motion on a frictionless surface, and the third law explains how rockets are able to propel themselves into space by pushing against the ground with their engines.

Similar threads

  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
422
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
17
Views
661
  • Introductory Physics Homework Help
Replies
1
Views
697
  • Introductory Physics Homework Help
Replies
13
Views
1K
  • Introductory Physics Homework Help
2
Replies
62
Views
3K
  • Introductory Physics Homework Help
Replies
5
Views
999
  • Introductory Physics Homework Help
Replies
5
Views
436
Back
Top