In the question number 66, the tension in the string is

Options

A. 30N
B. 36N
C. 34N
D. 32N

Explanation

To solve the problem of finding the tension in the string, we can follow these steps:

### Step 1: Understand the System
We have a block and a trolley system where the block is hanging and connected to the trolley via a string. We need to find the tension in the string.

### Step 2: Identify Given Values
From the transcript, we have:
- The acceleration \( a = 1.5 \, \text{m/s}^2 \)
- The gravitational acceleration \( g = 10 \, \text{m/s}^2 \)
- The mass of the block \( m = 4 \, \text{kg} \) (since \( 4g \) is mentioned)

### Step 3: Write the Equation of Motion
For the block hanging, we can write the equation of motion as:
\[ 4g - T = 4a \]
Where:
- \( T \) is the tension in the string.
- \( 4g \) is the weight of the block.

### Step 4: Substitute Known Values
Substituting the known values into the equation:
\[ 4(10) - T = 4(1.5) \]
This simplifies to:
\[ 40 - T = 6 \]

### Step 5: Solve for Tension
Now, we can solve for \( T \):
\[ 40 - 6 = T \]
\[ T = 34 \, \text{N} \]

### Conclusion
The tension in the string is \( 34 \, \text{N} \).