Find a tension and acceleration in string when two bodies attached with string move vertically??
Answers
Answer:
When the bodies move vertically
Consider two bodies of unequal masses m1 and m2 connected by the ends of a string, which passes over a frictionless pulley as shown in the diagram. If m1>m2, the body 'A' will move downward with acceleration 'a' and the body 'B' will move up with same acceleration.
Answer:
To find the values of tension (T) and acceleration, we need to know the masses of Body A and Body B. Once we have those values, we can solve the system of equations to determine the tension and acceleration in the string.
Explanation:
When two bodies are attached with a string and move vertically, we can analyze the system by considering the forces acting on each body.
Let's denote the two bodies as Body A and Body B. The tension in the string will be the same for both bodies since they are connected by the same string. Let's call this tension T.
For Body A:
- The weight of Body A (its mass multiplied by the acceleration due to gravity, which is approximately 9.8 m/s^2) acts downward.
- The tension in the string acts upward.
For Body B:
- The weight of Body B acts downward.
- The tension in the string acts upward.
If we assume that the upward direction is positive, we can set up the following equations of motion:
For Body A:
T - (mass of A) * 9.8 = (mass of A) * acceleration
For Body B:
T - (mass of B) * 9.8 = (mass of B) * acceleration
To find the values of tension (T) and acceleration, we need to know the masses of Body A and Body B. Once we have those values, we can solve the system of equations to determine the tension and acceleration in the string.