Two block of mass 2kg and 4kg are hanging with the help of massless st...
**Solution:**
To find the tension in the string connected between the blocks, we need to consider the forces acting on each block.
Let's consider the 2kg block first:
**Free Body Diagram of the 2kg Block:**
- There are two forces acting on the 2kg block: the tension in the string (T) and the force due to gravity (mg).
- The force due to gravity can be split into two components: the vertical component (mg) and the horizontal component (0).
- Since the block is moving upward with an acceleration of g/2, the net force acting on the block should be in the upward direction.
- Therefore, the equation for the net force can be written as: T - mg = ma, where a = g/2.
**Applying Newton's Second Law:**
- Substituting the values into the equation, we get: T - 2g = 2(g/2)
- Simplifying the equation, we have: T - 2g = g
- Combining like terms, we get: T = 3g
So, the tension in the string connected to the 2kg block is 3g.
Now, let's consider the 4kg block:
**Free Body Diagram of the 4kg Block:**
- There are two forces acting on the 4kg block: the tension in the string (T) and the force due to gravity (mg).
- The force due to gravity can be split into two components: the vertical component (mg) and the horizontal component (0).
- Since the block is moving upward with an acceleration of g/2, the net force acting on the block should be in the upward direction.
- Therefore, the equation for the net force can be written as: T - mg = ma, where a = g/2.
**Applying Newton's Second Law:**
- Substituting the values into the equation, we get: T - 4g = 4(g/2)
- Simplifying the equation, we have: T - 4g = 2g
- Combining like terms, we get: T = 6g
So, the tension in the string connected to the 4kg block is 6g.
Therefore, the tension in the string connected between the blocks is given by the sum of the tensions in each block, which is 3g + 6g = 9g.
Hence, the tension in the string connected between the blocks will be 9g.
Two block of mass 2kg and 4kg are hanging with the help of massless st...
40N
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