Analyzing Forces on a Block: A Scientific Approach

[Nal101]

Homework Statement

1) What is the net force on the block? (Cartesian Coordinate system)
2) What is the X component of the tension force on the block
3) What is the x-component of the force exerted by the floor on the block (the friction force)?
4) What is the y-component of the force exerted by the rope on the block?
5) What is the y-component of the force exerted by the Earth on the block?
6) What is the y-component of the force exerted by the floor on the block (sometimes called the "normal" force, because it is perpendicular to the floor)?

I pull on the rope with the force of 290 N
Mass of block is 22kg
Block moves at constant 1.3m/s
Angle of 35 degrees with the floor.

Homework Equations

p=mv
$$\Delta$$p=f_net$$\Delta$$t
ma = T - W
F_f = $$\mu$$N

The Attempt at a Solution

1) The net force will be the total force acting on the block, therefore in the X direction it would include the X component of the force I exert, and the Y component of the force I exert minus the force of gravity acting on the object.
F_{x, me} = 290 N * cos(35) = 237.55
F_{y, me} = 290 N * sin(35) = 166.34
F_gravity = mg = 215.6
Therefore <237.55, (166.34-215.6), 0>

2) Velocity is constant, so no acceleration, therefore T = W. Therefore, I don't know where to go with this.

3) I do not know mu, don't know how to solve for the force of friction.

4) Would this be equal to the force I exert on the rope multiplied by the sin of 35?
290sin(35) = 166.34

5) Already calculated this as well, F_g = mg = 215.6

6) Equal and opposite of F_g?

Homework Statement

Homework Equations

The Attempt at a Solution

 

[kuruman]

For question 1
What is the acceleration of the block?
How is the acceleration of the block related to the net force acting on it?

Once you get the answer to question 1 sorted out the rest should be easier to handle.

Clarification
Your problem statement does not give the mass of the block. What is it?

 

[Nal101]

For question 1) Thanks! Of course, the net force is going to be 0 if there is no acceleration.

For mass of object, had a typo, what was originally mass of rope should be mass of block (22kg) the mass of rope/myself is supposed to be negligible, i apologize.

Figured out 2.

For 3, how do I calculate F_f without knowing $$\mu$$?

Figured out 4 & 5

For 6, is it the sum of Earth + rope forces, multiplied by 1 (since its opposite direction)?

 

[kuruman]

For question 1) Thanks! Of course, the net force is going to be 0 if there is no acceleration.

For mass of object, had a typo, what was originally mass of rope should be mass of block (22kg) the mass of rope/myself is supposed to be negligible, i apologize.

Figured out 2.

For 3, how do I calculate F_f without knowing $$\mu$$?

The sum of the horizontal components of the net force must be zero. Just balance the forces. "To the right" is positive, "to the left" is negative.

Figured out 4 & 5

For 6, is it the sum of Earth + rope forces, multiplied by 1 (since its opposite direction)?

The sum of the vertical components of the net force must be zero. "Up" is positive, "down" is negative.