A block rests on a horizontal table which is executing SHM in the horizontal plane with an amplitude A. What will be the frequency of oscillation, the block will just start to slip? Coefficient of friction`=mu`.

Explanation

To solve the problem, we need to find the frequency of oscillation at which the block will just start to slip on a table executing simple harmonic motion (SHM). Here’s a step-by-step solution:

### Step 1: Understand the forces acting on the block
When the table executes SHM, the block experiences a restoring force due to the motion of the table. The block will start to slip when the maximum restoring force exceeds the maximum static frictional force acting on it.

### Step 2: Identify the restoring force
The restoring force \( F_{\text{restoring}} \) acting on the block when the table is at its maximum displacement (amplitude \( A \)) can be expressed as:
\[
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