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The given problem involves the oscillation of a physical pendulum. The body has a mass, moment of inertia, and distance from the center of mass to the pivot point. We're asked to calculate the period of oscillation.

### Given:
- Mass of the body \( m = 170 \, \text{g} = 0.170 \, \text{kg} \)
- Moment of inertia \( I = 0.00614 \, \text{kg} \cdot \text{m}^2 \)
- Distance from center of mass to the pivot \( d = 19.0 \, \text{cm} = 0.190 \, \text{m} \)
- Gravitational acceleration \( g = 9.81 \, \text{m/s}^2 \)

For a physical pendulum, the period \( T \) is given by the formula:
\[
T = 2\pi \sqrt{\frac{I}{m g d}}
\]

### Substituting the given values:
\[
T = 2\pi \sqrt{\frac{0.00614}{0.170 \times 9.81 \times 0.190}}
\]

Now, let's calculate that step-by-step:

\[
T = 2\pi \sqrt{\frac{0.00614}{0.3161373}}
\]
\[
T = 2\pi \sqrt{0.019424}
\]
\[
T = 2\pi \times 0.13937
\]
\[
T = 0.8754 \, \text{seconds}
\]

### Final Answer:
The period of oscillation of the body is approximately **0.875 seconds**.

Would you like further clarification on this? Here are some related questions:

1. How does increasing the mass affect the period of oscillation?
2. What is the difference between a simple pendulum and a physical pendulum?
3. How would the period change if the center of mass were closer to the pivot point?
4. Why do we use the small angle approximation in this case?
5. What happens to the period if we change the moment of inertia?

**Tip:** The moment of inertia is a crucial factor in rotational systems. It determines how the mass is distributed relative to the pivot point.

A rigid 170 g body with the moment of inertia of 0.00614 kgm² is suspended from a very thin axle that passes through a hole near the top end of the body. The center of mass of the body is 19.0 cm from the axle. The body is made to oscillate with small angles. Please, use 9.81 m/s² for gravitational acceleration. a) What is the periodic time of oscillation of the body?

Learn how to calculate the periodic time of oscillation for a rigid body with mass 170 g, moment of inertia 0.00614 kgm², and center of mass 19.0 cm from the axle. Using the physical pendulum formula, this example illustrates oscillation in small angles. Suitable for advanced high school physics students (Grades 11-12).

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