A thin rod of length `1 m` is fixed in a vertical position inside a train, which is moving horizontally with constant acceleration `4 ms^(-2)`.A bead can slide on the rod and friction coefficient between them is `0.5`. If the bead is released from rest at the top of the rod , it will reach the bottom in

Explanation

To solve the problem, we will analyze the forces acting on the bead and apply Newton's laws of motion. Here are the steps:

### Step 1: Identify the forces acting on the bead
When the bead is released from the top of the rod, it experiences two forces:
1. The gravitational force acting downward: \( F_g = mg \)
2. The pseudo force acting horizontally due to the train's acceleration: \( F_p = ma \)

### Step 2: Determine the normal force
...