A pendulum bob of mass M1 oscillates with a period of 1.0 s. If the length of the pendulum remains the same, but the pendulum bob is replaced with another one of mass M2 = 2*M1, what is the new period?
I need help.
To determine the new period of the pendulum, we need to understand the relationship between the period and the properties of the pendulum.
The period of a pendulum is given by the equation:
T = 2π√(L/g)
Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth).
Given that the length of the pendulum remains the same, we can treat it as a constant. Therefore, the period only depends on the value of g.
In this case, we are replacing the pendulum bob with another one that has a mass M2 = 2*M1. The mass does not directly affect the period of the pendulum, so the value of g remains unchanged.
Therefore, the new period of the pendulum is the same as the original period, which is 1.0 second.
So, the new period of the pendulum is 1.0 second.