A simple pendulum is made my attaching a rod of negligible mass to a 2.0 kg pendulum bob at the end. It is observed that on Earth, the period of small-angle oscillations is 1.0 second. It is also observed that on Planet X this same pendulum has a period of 1.8 seconds. How much does the pendulum bob weigh on Planet X

Explanation:

The angular frequency of a simple pendulum is:

Where:

- Gravitational constant, in .

- The rod length, in m.

The period of oscillation of the simple pendulum is:

Given that the same pendulum is tested of both planets, the following relation is determined:

The gravity constant on Planet X is:

The weight of the pendulum bob on Planet X is:

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle