Uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force is applied at the top point P of the cylinder so that it start pure rolling .In the above question, the frictional force on the cylinder is

Options

A. `F//3` towards right
B. `F//3` towards left
C. `2F//3` towards right
D. `2F//3` towards left

Explanation

To solve the problem of finding the frictional force acting on a uniform solid cylinder of mass \( m \) and radius \( R \) when a horizontal constant force \( F \) is applied at the top point \( P \) of the cylinder, we can follow these steps:

### Step 1: Understand the System
We have a uniform solid cylinder placed on a rough horizontal surface. A horizontal force \( F \) is applied at the top of the cylinder, and we need to find the frictional force acting on it when it starts pure rolling.

### Step 2: Identify Forces Acting on the Cylinder
1. The applied force \( F \) acts horizontally at the top point \( P \).
2. The frictional force \( f \) acts at the point of contact with the ground, opposing the motion.
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