One end of a massless string is wound around a cylinder of mass 5 kg and radius 16' cm. The cylinder' is mounted symmetrically on a horizontal axle so 5 that It can freely rotate about its axis, to the other end of the string a mass of 500 gm is attached. Calculate the acceleration of the mass when it is released from rest.

Explanation

To solve the problem step by step, we will analyze the forces acting on the mass and the torque acting on the cylinder.

### Step 1: Identify the given values
- Mass of the cylinder (M) = 5 kg
- Radius of the cylinder (R) = 16 cm = 0.16 m
- Mass attached to the string (m) = 500 g = 0.5 kg
- Acceleration due to gravity (g) = 9.81 m/s² (approximately)

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