You'll need both the moment of inertia and the centre of mass. What equations do you have for moment of inertia that might be relevant?justwild said:Actually having problem with calculating the moment of inertia of the system, which I think is the very step to solution of the problem.
A pendulum is a simple device that consists of a weight (called a "bob") suspended from a fixed point by a string, wire, or rod. It is commonly used in timekeeping devices, such as clocks, and can also be used to measure the force of gravity.
A pendulum works by converting potential energy into kinetic energy and back again. When the bob is pulled to one side and released, it swings back and forth in a predictable pattern. This motion can be used to keep time, as the period of a pendulum is constant as long as the length of the string and the force of gravity remain constant.
The time period of a pendulum is affected by three main factors: the length of the pendulum, the mass of the bob, and the force of gravity. The longer the pendulum, the longer the time period. The heavier the bob, the slower the pendulum swings. And the stronger the force of gravity, the faster the pendulum swings.
The time period of a pendulum can be calculated using the formula T = 2π√(L/g), where T is the time period, π is pi (approximately 3.14), L is the length of the pendulum, and g is the force of gravity (usually taken as 9.8 m/s² on Earth). This formula assumes the angle of swing is small (less than 15 degrees).
Yes, the time period of a pendulum can be adjusted by changing the length of the pendulum or the mass of the bob. Lengthening the pendulum or increasing the mass will result in a longer time period, while shortening the pendulum or decreasing the mass will result in a shorter time period. Additionally, the force of gravity can also be adjusted by changing the location of the pendulum (e.g. taking it to a different planet with a different gravitational pull).