A block is on horizontal slab which is moving horizontally and excuting `S.H.M.` The coefficient of static frication between block and slab is `mu`. If block is not separated from slab then determine range of angular frequency of oscillation.
Text Solution
AI Generated Solution
To solve the problem of determining the range of angular frequency of oscillation for a block on a horizontally moving slab executing Simple Harmonic Motion (SHM), we can follow these steps:
### Step 1: Understand the Forces Involved
We have a block of mass \( m \) resting on a slab that is moving horizontally and executing SHM. The coefficient of static friction between the block and the slab is \( \mu \). The block will not separate from the slab as long as the static friction can provide the necessary force to keep it in motion with the slab.
### Step 2: Identify the Restoring Force
In SHM, the restoring force \( F \) acting on the block can be expressed as:
\[
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