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Determine the period of small oscillatio...

Determine the period of small oscillations of a mathematical pendulum, that is a ball suspended by a thread `l=20 cm` in length, if it is located in a liquid whose density is `eta=3.0` times less than that of the ball. The resistance of the liquid is to be neglected.

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To determine the period of small oscillations of a mathematical pendulum submerged in a liquid, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We have a pendulum consisting of a ball of mass \( m \) suspended by a thread of length \( l = 20 \, \text{cm} = 0.2 \, \text{m} \). The ball is in a liquid whose density \( \eta \) is \( \frac{1}{3} \) of the ball's density. 2. **Identify Forces Acting on the Ball**: - The gravitational force acting downwards is \( F_g = mg \). ...
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