# Do Masses on a pulley have the same acceleration?

## Do Masses on a pulley have the same acceleration?

We have a massless rope that runs over a frictionless pulley, this means that the two masses are subject to upward tensions equal in magnitude. Also, since the rope is inextensible, the two masses move with accelerations that are equal in magnitude.

## What would the acceleration and tension be if the two masses were equal?

Equal masses, no acceleration The two masses (M) are equivalent, thus the force of gravity on each is equal. The upward force opposing gravity is the tension (T) in the string. For the system to be in equilibrium, T = Fg. The net force is 2Fg – 2T = 0, so there is no acceleration.

Do the two masses have the same acceleration Why?

The total acceleration of the system is the same for both masses; M1 accelerates upward at the same rate as the downward acceleration of M2 because they are tied together. We can treat the whole system as a single mass, M = M1 + M2.

What happens when a pulley has mass?

Because the pulley possesses mass, you need to apply a non-zero net torque to it to increase its angular acceleration (assuming that is the goal here). If the tensions were the same on both sides of the contact point between the string and the pulley, there would be no angular acceleration.

### How are two masses attached to a pulley?

Two Masses on Inclined Plane with Pulley. A mass (brown) slides along a plane inclined at the angle , attached to a pulley at the top with a mass (green) hanging down the right vertical side. The coefficient of friction is . The acceleration of the system and the tension are calculated and the position of the masses at time is shown.

### Where are the masses on the inclined plane?

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products. A mass (brown) slides along a plane inclined at the angle , attached to a pulley at the top with a mass (green) hanging down the right vertical side. The coefficient of friction is .

Why are the accelerations of two masses equal?

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. We will indicate the magnitude of the accelerations with a.

How are two masses hanging from a rope?

Two masses are hanging from a rope that runs over a pulley.mM. We have a massless rope that runs over a frictionless pulley, this means that the two masses are subject to upward tensions equal in magnitude. We will indicate the magnitude of the tensions with T.

27/01/2021