Chapter 9, Problem 36P

(a)

To determine

The force diagram for cylinder and the force exerted by the string on the cylinder, by applying the translational form of Newton’s second law. The radius of the cylinder is $0.0\text{40 m}$ and mass is $0.\text{20 kg}$. When the string is released, the cylinder accelerates at $\frac{2}{3}g$ in downward direction.

(b)

To determine

The rotational inertia of the solid cylinder. The radius of the cylinder is $0.0\text{40 m}$ and mass is $0.\text{20 kg}$. When the string is released, the cylinder accelerates at $\frac{2}{3}g$ in downward direction.

(c)

To determine

The rotational acceleration of the cylinder on applying the rotational form of Newton’s second law. The radius of the cylinder is $0.0\text{40 m}$ and mass is $0.\text{20 kg}$. When the string is released, the cylinder accelerates at $\frac{2}{3}g$ in downward direction.

(d)

To determine

To explain: Whether the answer in part (c), is consistent with the application of $a=r\alpha$. Here, $a$ and $\alpha$ relate the translational acceleration and rotational acceleration. The radius of the cylinder is $0.0\text{40 m}$ and mass is $0.\text{20 kg}$. When the string is released, the cylinder accelerates at $\frac{2}{3}g$ in downward direction.