An object of mass m1= 2.90 kg placed ona. Frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2= 8.70 kg. Draw free- body diagrams of both objects.
I've seen many people have a similar topic to this but they all were looking for the magnitude of the acceleration or the tension in the string but I was wondering how I would draw the diagram of both these objects if it makes any sense I looked at an example but that didn't help it more just gave me the answer I want to know how to get the answer not just get the answer with no e plantation behind it.
To draw the free-body diagrams for both objects in this scenario, we need to consider the forces acting on each object separately. Here's how you can determine the forces and draw the diagrams step by step:
1. Start with the object of mass m1 (2.90 kg) placed on the frictionless table. The only force acting on this object is its weight, which can be represented by a downward vertical arrow. Label it as "mg1," where g is the acceleration due to gravity (9.8 m/s^2). Since the table is frictionless, there is no friction force to consider.
Free-body diagram for m1:
↑
│
mg1
2. Now, let's move on to the second object with mass m2 (8.70 kg) hanging freely. This object experiences two forces: weight and tension in the string.
- Similar to the first object, the weight of m2 acts downward. Draw a downward vertical arrow and label it as "mg2."
- Additionally, there is tension in the string connected to the pulley. Since the string connects m1 and m2, the tension in the string is the same for both objects. Represent the tension by an upward vertical arrow. Label it as "T."
Free-body diagram for m2:
T
│ ↑
mg2
It's important to note that these free-body diagrams represent the forces acting on each object individually. The diagrams allow you to visualize the forces involved and understand how they affect the motion of the objects.
Remember, drawing free-body diagrams is an essential step in analyzing the forces acting on an object. It helps in solving problems and understanding the underlying physics principles involved.
To draw the free-body diagrams of both objects, you need to consider the forces acting on each object separately.
For the object of mass m1 (2.90 kg) placed on the table:
1. Draw a dot to represent the object.
2. Draw an arrow pointing downward to represent the force of gravity acting on the object. Label it as mg, where m is the mass of the object (2.90 kg) and g is the acceleration due to gravity (9.8 m/s^2).
3. Connect the dot to the arrow with a line to represent the object itself.
4. Since the table is frictionless, there are no other forces acting on the object.
For the hanging object of mass m2 (8.70 kg):
1. Draw a dot to represent the object.
2. Draw an arrow pointing downward to represent the force of gravity acting on the object. Label it as mg, where m is the mass of the object (8.70 kg) and g is the acceleration due to gravity (9.8 m/s^2).
3. Connect the dot to the arrow with a line to represent the object itself.
4. Since the object is hanging and connected to a string passing over a pulley, there is tension force acting upward on the object. Draw an arrow pointing upward and label it as T.
5. Connect the dot to the arrow representing tension with a line to represent the string.
Remember to label the forces accurately and pay attention to the direction of the forces (upward, downward, or horizontal) based on their respective effects on each object.