Problem related to Newton's Laws

[RuthlessTB]

Homework Statement

Homework Equations

ƩF=0
ƩF= m a

The Attempt at a Solution

Since there is no friction do I assume the objects will move?
or it will remain equilibrium since m1 is 120N which is way higher than 50N.

 

[Doc Al]

Since there is no friction do I assume the objects will move?
or it will remain equilibrium since m1 is 120N which is way higher than 50N.

Why would the weight of m1 matter? (The mass of m1 matters though.)

Note that m1 moves horizontally while m2 moves vertically.

 

[RuthlessTB]

m1:
T - 0 = m1 a

m2:
m2g - T = m2 a

I need now to calculate acceleration first in order to get the value of the tension

T = m1 a
-T + m2g = m2 a

[m2g = a(m1+m2)]
50 = a(12+5)
a= 50/17 = 2.94 m/s^2

Now to calculate the tension
T= m1 a
T= 12 (2.94) = 35.3 N

My question is, are the steps in red color right?

 

[Doc Al]

m1:
T - 0 = m1 a

m2:
m2g - T = m2 a

I need now to calculate acceleration first in order to get the value of the tension

T = m1 a
-T + m2g = m2 a

[m2g = a(m1+m2)]
50 = a(12+5)
a= 50/17 = 2.94 m/s^2

Now to calculate the tension
T= m1 a
T= 12 (2.94) = 35.3 N

My question is, are the steps in red color right?

Yes, using a value of g = 10 m/s^2.

 

[Nickie]

I would approach this problem by first identifying the specific scenario being described and the relevant Newton's Laws that apply. From the given information, it seems that there are two objects with known masses and forces acting on them. The first step would be to draw a free body diagram to clearly show all the forces acting on each object.

Next, I would apply Newton's Second Law, ƩF= ma, to determine the acceleration of each object. This equation tells us that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force is the sum of all the forces acting on each object.

Once the acceleration is determined, I would then use Newton's First Law, also known as the Law of Inertia, to determine the motion of the objects. This law states that an object at rest will remain at rest, and an object in motion will continue in motion with constant velocity, unless acted upon by an external force.

From this information, we can conclude that the objects will either remain at rest if the net force is zero, or they will move in the direction of the net force if it is non-zero. The specific outcome will depend on the values and directions of the forces acting on each object. It is important to note that even in the absence of friction, other forces such as gravity and normal force may still be acting on the objects and must be considered in the analysis.

In summary, the problem related to Newton's Laws can be solved by first identifying the relevant laws, drawing a free body diagram, and using Newton's equations to determine the motion of the objects. This approach can be applied to a wide range of scenarios and is essential in understanding the behavior of objects in the physical world.