- #1
kaspis245
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Homework Statement
A system of pulleys is given. I need to find with what acceleration mass m2 will move.
Homework Equations
Newton's laws of motion.
The Attempt at a Solution
Is it right?
With what acceleration 2m will move?
- Thread starter kaspis245
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- Acceleration
In summary, the problem is to find the acceleration of mass m2 in a system of pulleys, using Newton's laws of motion. A possible solution is shown in the attached images. It is important to consider the complete statement of the problem and determine whether rotational inertia and the mass of the pulleys can be ignored.
A system of pulleys is given. I need to find with what acceleration mass m2 will move.
Newton's laws of motion.
Is it right?
- #2
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As a check, plug in your result of a=-g back into your Newton-Law equations to get expressions for T1 and for T2.
Are those results consistent with what you claim about how T1 and T2 are related?
Are the a's the same for the two objects? Can you justify your answer?
Are those results consistent with what you claim about how T1 and T2 are related?
Are the a's the same for the two objects? Can you justify your answer?
- #3
kaspis245
- 189
- 1
I thing it's incorrect. How should I solve it?
- #4
SammyS
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What is the complete statement of the problem?kaspis245 said:
Can we ignore the rotational inertia of the pulleys? How about the mass of the pulleys? It looks as if one of them has mass, m .
1. What is acceleration?
Acceleration is the rate at which an object's velocity changes over time. It is measured in meters per second squared (m/s²).
2. How is acceleration calculated?
Acceleration is calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.
3. How is acceleration related to force?
Acceleration is directly proportional to the force applied to an object. The greater the force, the greater the acceleration. This is described by Newton's Second Law, F = ma, where F is force, m is mass, and a is acceleration.
4. What factors can affect the acceleration of an object?
The acceleration of an object can be affected by the mass of the object, the force applied to the object, and any opposing forces such as friction. For example, a heavier object will require a greater force to accelerate at the same rate as a lighter object.
5. What is the difference between average and instantaneous acceleration?
Average acceleration is the overall change in velocity over a given time interval, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration can be calculated by dividing the change in velocity by the total time, whereas instantaneous acceleration requires taking the derivative of the object's position function with respect to time.
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