TWO BLOCKS a AND b ARE CONNECTED BY A HEAVY ROPE OF MASS 2kg THE MASSES OF a AND b ARE 10 AND 5kg RESPECTIVELY.IF AN UPWARD FORCE OF 200N IS APPLIED TO THE TOP ROPE,THE SYSTEM IS MOVING VERTICALLY UPWARD UNDER GRAVITY
A:FIND THE ACCELERATION OF THE SYSTEM
B:WHAT IS THE TENTION AT POINT P1 AND P2 ON THE HEAVY ROPE?
To find the acceleration of the system, we can use 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 sum of the applied force and the force due to gravity.
A: Finding the acceleration of the system:
1. Calculate the net force:
The force due to gravity acting on block a is equal to its mass multiplied by the acceleration due to gravity (9.8 m/s^2). Similarly, the force due to gravity acting on block b is equal to its mass multiplied by the acceleration due to gravity.
Force due to gravity acting on block a = mass of a * acceleration due to gravity
Force due to gravity acting on block b = mass of b * acceleration due to gravity
Net Force = Force due to gravity on a + Force due to gravity on b - Applied force
2. Apply Newton's second law:
Net Force = (mass of a + mass of b + mass of the rope) * acceleration
The mass of the rope is given as 2 kg.
3. Rearrange the equation to solve for acceleration:
acceleration = Net Force / (mass of a + mass of b + mass of the rope)
B: Finding the tension at points P1 and P2 on the heavy rope:
1. Calculate the tension at point P2:
Tension at P2 = mass of b * acceleration + Force due to gravity acting on b
2. Calculate the tension at point P1 using the principle of action-reaction:
Tension at P1 = Tension at P2 + mass of a * acceleration + Force due to gravity acting on a
Note: In these calculations, we assume that the rope is massless and inextensible, and there is no friction between the blocks and the surface they are moving on.
Plug in the given values and perform the calculations to find the desired results.