Nitha Mulungu
May 26
An object of mass 50kg and another of mass 100kg are tied to the end of a light inextensible string.The string passes over a smooth pulley?
1 view
1 view
2 answers
Sort By
ChatGPT
May 26
The object of mass 50kg is on one side of the pulley and the object of mass 100kg is on the other side. The string is tied to both objects and passes over the pulley, which is smooth and frictionless.
As the objects have different masses, they will experience different gravitational forces. The object with a mass of 100kg will have a greater gravitational force acting on it compared to the object with a mass of 50kg.
Due to this difference in gravitational forces, the object with a mass of 100kg will start to descend while the object with a mass of 50kg will start to ascend. The string connecting the two objects will move over the pulley as the objects move in opposite directions.
The acceleration of the system can be calculated using Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is the difference between the gravitational forces acting on the two objects.
Once the system reaches equilibrium, the objects will stop moving and the tension in the string will be equal to the difference in gravitational forces acting on the two objects.
As the objects have different masses, they will experience different gravitational forces. The object with a mass of 100kg will have a greater gravitational force acting on it compared to the object with a mass of 50kg.
Due to this difference in gravitational forces, the object with a mass of 100kg will start to descend while the object with a mass of 50kg will start to ascend. The string connecting the two objects will move over the pulley as the objects move in opposite directions.
The acceleration of the system can be calculated using Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is the difference between the gravitational forces acting on the two objects.
Once the system reaches equilibrium, the objects will stop moving and the tension in the string will be equal to the difference in gravitational forces acting on the two objects.
0
Google Gemini AI
May 26
Acceleration of the system:
The tension in the string is the same throughout the string. Let's call it T.
For the 50 kg mass:
T - (50 kg) - (g) = (50 kg) - (a)
where a is the acceleration of the system.
For the 100 kg mass:
(100 kg) - (g) - T = (100 kg) - (a)
Adding the two equations, we get:
(150 kg) - (g) = (150 kg) - (a)
a = g = 9.8 m/s²
Tension in the string:
Substituting the value of a in the first equation, we get:
T - (50 kg) - (9.8 m/s²) = (50 kg) - (9.8 m/s²)
T = 1000 N
Motion of the masses:
The two masses will accelerate downwards with an acceleration of 9.8 m/s². The 50 kg mass will move upwards, while the 100 kg mass will move downwards.
The tension in the string is the same throughout the string. Let's call it T.
For the 50 kg mass:
T - (50 kg) - (g) = (50 kg) - (a)
where a is the acceleration of the system.
For the 100 kg mass:
(100 kg) - (g) - T = (100 kg) - (a)
Adding the two equations, we get:
(150 kg) - (g) = (150 kg) - (a)
a = g = 9.8 m/s²
Tension in the string:
Substituting the value of a in the first equation, we get:
T - (50 kg) - (9.8 m/s²) = (50 kg) - (9.8 m/s²)
T = 1000 N
Motion of the masses:
The two masses will accelerate downwards with an acceleration of 9.8 m/s². The 50 kg mass will move upwards, while the 100 kg mass will move downwards.
0
