Newton's second law 3 pulley problem.

In summary, Newton's second law states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. In a 3 pulley problem, the number of pulleys can reduce the force needed to lift an object, friction can affect the required force, the angle of the rope can affect the acceleration, and the law can be applied to a moving object.
  • #1
travisdass123
1
0
There is no friction and the strings are massless. Find Tension and acceleration.

3. The Attempt at a Solution

1. +T-m1g = m1a
2. m2g-2t= m2a
3. +T - m3g =m3a
4. 2a2 = a1+a3

g(-m1+m2-m3) + 2a2 = (m1 + m2 + m3)a + a1 + a2

-29.4 + 2a2 =11a +a1+ a2
 

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  • #2
Show some work or we're not allowed to help you.
 
  • #3
travisdass123 said:
There is no friction and the strings are massless. Find T1 T2 T3 and acceleration.

If there is no friction, then the tension in the string connecting the 2kg and 5kg masses should be constant throughout.
 

Related to Newton's second law 3 pulley problem.

1. What is Newton's second law in relation to a 3 pulley problem?

Newton's second law states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. In a 3 pulley problem, this means that the acceleration of the pulleys and the connected objects will depend on the net force acting on them and their respective masses.

2. How does the number of pulleys affect the force required to lift an object?

The number of pulleys in a system can reduce the amount of force needed to lift an object. In a 3 pulley system, the force required to lift an object is divided by 3, making it easier to lift the object.

3. What is the role of friction in a 3 pulley problem?

Friction can play a significant role in a 3 pulley problem as it can affect the amount of force needed to lift an object. Friction between the pulleys and the rope can increase the required force, while friction between the object and the surface it is resting on can decrease the required force.

4. How does the angle of the rope affect the acceleration in a 3 pulley problem?

The angle of the rope can affect the acceleration of the pulleys and the connected objects. A smaller angle will result in a greater acceleration, while a larger angle will result in a smaller acceleration. This is because a smaller angle results in a larger component of the force being directed towards the acceleration, while a larger angle results in a smaller component of the force being directed towards the acceleration.

5. Can Newton's second law be applied to a 3 pulley problem with an object in motion?

Yes, Newton's second law can be applied to a 3 pulley problem with an object in motion. In this case, the acceleration will change the velocity of the object, and the net force acting on the object will be equal to its mass multiplied by its acceleration.

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