It seems you are implicitly assuming that the net forces on the two objects are the same in order to say that the accelerations could be different. This isn’t the case (unless they happen to have the same mass). In fact, their accelerations must be the same for the reason stated above.
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How do you solve pulley problems in physics?

How do you find the tension between two blocks on a pulley?
Calculate the tension in the rope using the following equation: T = M x A. Four example, if you are trying to find T in a basic pulley system with an attached mass of 9g accelerating upwards at 2m/sยฒ then T = 9g x 2m/sยฒ = 18gm/sยฒ or 18N (newtons).
Do two blocks on a pulley have the same acceleration?
In a situation such as this one with two objects suspended over a pulley, the more massive object will accelerate downward and the least massive object will accelerate upward. The magnitude of the acceleration will be the same for each object.
How do you solve friction problems with pulleys?

How do you find the tension of a rope between two objects?

Is tension the same on both sides of a pulley?
The tension of an “ideal cord” that runs through an “ideal pulley” is the same on both sides of the pulley (and at all points along the cord).
What is the tension between 2 blocks?
It is a force defined for strings, rope, or springs; tread like objects which experience tension on stretching. The tension between two blocks can be found by knowing the net forces acting on the two blocks attached to the string, we can calculate the tension exerted on the string due to the two blocks.
How is pulley ratio calculated?
The ratio of any two drive accessories can be determined by dividing the diameter of the smaller pulley into the larger one. For example, if a 6-inch water-pump pulley is used in conjunction with a 7-inch crank pulley, the pulley ratio is 1.16:1.
How do you find the acceleration of a pulley without friction?

Why do two masses on a pulley have the same acceleration?
Solving the problem However, in the case of the larger mass, the force of gravity wins the tension, which means that the larger mass is accelerating downward. Also, since the rope is inextensible, the two masses move with accelerations that are equal in magnitude.
Do the two masses have the same acceleration Why?
โThe second law shows that if you exert the same force on two objects of different mass, you will get different accelerations (changes in motion). The effect (acceleration) on the smaller mass will be greater (more noticeable).
How do you find the acceleration of two masses on a pulley with friction?

What is the formula for the acceleration in a simple pulley system?
Acceleration = m/sยฒ T= Newtons compared to the weight W = Newtons for the hanging mass. If the weight of the hanging mass is less than the frictional resistance force acting on the mass on the table, then the acceleration will be zero.
How does friction affect tension in pulley?
This frictional force actually exerts a torque on the pulley and causes its angular acceleration [2]. At the same time, the friction gives rise to a difference in tension between the ends of the string laid on the pulley, even for a massless string [3, 4] . …
What is the equation for tension in regards to the rope coming from the second block?
The only horizontal force acting on mass 1 is the pull coming from the tension in the rope. Therefore the tension T is given by T=m1*F/(m1+m2) (again, the acceleration is the same because of the rope and the lack of friction, I think).
Which force is acting between pulley and rope?
Answer: Frictional force acts between pulley and rope. Explanation: As the pulley and rope are in contact, friction is generated between the two bodies.
What’s the formula for tension?
Solution: We know that the force of tension is calculated using the formula T = mg + ma.
Does mass of pulley affect tension?
Mass-less pulley is characterized by the fact that it does not affect the magnitude of tension in the string. It means that tensions in the string on either side of the pulley remains same. In general, a “mass-less” pulley changes the direction of force (tension) without any change in magnitude.
What controls how quickly the two weights on an Atwood machine move?
In an Atwood’s Machine, the difference in weight between two hanging masses determines the net force acting on the system of both masses. This net force accelerates both of the hanging masses; the heavier mass is accelerated downward, and the lighter mass is accelerated upward.
How the force is changed by changing tension in pulley?
Tension will pull to the right in the direction of the pulley clockwise. Object two, which is the hanging mass to the right of the pulley, will have the tension pulling up counterclockwise and the force of gravity pulling down clockwise.
How do you solve a two block problem with friction?

What is the formula for work done in physics?
To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle ฮธ to the displacement, the work done is W = fd cos ฮธ.
What is the W in physics?
In the International System of Units (SI), the unit of power is the watt (W), which is equal to one joule per second.
What is a 2 1 pulley ratio?
Higher cable ratio = longer cable than lower cable ratio (a 2:1 cable is twice the length of a 1:1 cable) Divide the weight on the stack by the first number in the cable ratio to know the actual resistance of a cable machine.