Newton's second condition of equilibrium

In summary, the question asks for the necessary force to start a 300kg stone wheel rolling up a step, assuming the force is applied horizontally at the center of gravity. The weight of the wheel is 2940N, the pivot point is at the corner of the step, and the angle between the wheel and the pivot point is 16.7 degrees. The normal force directed away from the point of contact will be responsible for moving the wheel up the step, and can be broken into components using the radius of the wheel, the height of the step, and the definition of the tangent function. The given angle of 16.7 degrees was derived from this information.
  • #1
aud11888
13
0
here's the question as written:

A person is attempting to pull a large stone wheel up a step. The wheel has a mass of 300kg. Assuming the force the person applies is horizontal and at the certer of gravity, what imust the force be to start the wheel rolling over the curb?

alright, so i found the weight of the wheel, 2940N, the pivot poing is going to be at the corner of the step, and the angle created between where the wheel hits the ground and the pivot point to be 16.7degrees. i have no clue as to what direction to go in next, can anyone help?
 
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  • #2
Is the 16.7 deg angle given, because, as you wrote it there's no way to find that angle..


However, a normal reaction force directed away from the point of contact will be the force responsible for moving the wheel up the step, and the normal force is dependant on the force of the person. Break that normal force vector into components.
 
  • #3
the angles not given but i derrived it

the diameter of the wheel is 1m and the height of the step is .15m
so using the radius of the wheel, the heigt of the step and the defination of the tangent function i got 16.7degrees
 
  • #4
Well you implied that you gave us all the information given. That is the correct angle though.
 
  • #5
sorry, it was in the picture and i forgot to type it in
 

Related to Newton's second condition of equilibrium

1. What is Newton's second condition of equilibrium?

Newton's second condition of equilibrium, also known as the principle of moments, states that for an object to be in rotational equilibrium, the sum of the clockwise moments must be equal to the sum of the counterclockwise moments.

2. How is Newton's second condition of equilibrium different from the first condition?

The first condition of equilibrium states that for an object to be in translational equilibrium, the sum of the forces acting on it must be zero. The second condition deals specifically with rotational equilibrium, taking into account the distance from the pivot point and the direction of the force.

3. What is the significance of the pivot point in Newton's second condition of equilibrium?

The pivot point, also known as the fulcrum, is the point where the object is rotating around. It is important in the second condition of equilibrium because it determines the distance from the pivot point to the point of application of the force, which affects the moment of the force.

4. How do you calculate the moment of a force in Newton's second condition of equilibrium?

The moment of a force is calculated by multiplying the magnitude of the force by the distance from the pivot point to the point of application of the force.

5. What are some real-world applications of Newton's second condition of equilibrium?

Some examples of real-world applications of Newton's second condition of equilibrium include seesaws, balance scales, and teeter-totters. It is also used in engineering and construction to ensure the stability and balance of structures.

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