The physical pendulum - mass calculations

In summary, when analyzing the forces and energy transfers on a physical pendulum with a larger mass on the end, it is important to know the moment of inertia rather than the arm's mass. However, if the arm is uniform and the bob is small enough to be treated as a point, the arm's mass can be calculated or estimated using the period, length of the arm, and mass of the bob.
  • #1
HalcyonicBlues
7
0
When analysing the forces/energy transfers acting on a physical pendulum (albeit with a larger mass on the end, such as a grandfather clock...with a thick rod?) is it absolutely necessary to know the mass of the 'arm' (separate from the bob, as such)? Also, can the mass of the arm be calculated (or at least estimated) if the period, length of the arm and mass of the bob are known?
 
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  • #2
It is not the mass that you really need to know, but the moment of inertia.
 
  • #3
HalcyonicBlues said:
can the mass of the arm be calculated (or at least estimated) if the period, length of the arm and mass of the bob are known?
Certainly, if you assume the arm is uniform and the bob is small enough to treat as a point (or has a calculable MI).
 

Related to The physical pendulum - mass calculations

1. How do you calculate the mass of a physical pendulum?

The mass of a physical pendulum can be calculated by using the equation M = (T^2 * L) / (4π^2 * g), where M is the mass of the pendulum, T is the period of oscillation, L is the length of the pendulum, and g is the acceleration due to gravity.

2. Does the mass of the physical pendulum affect its period of oscillation?

Yes, the mass of the physical pendulum does affect its period of oscillation. The larger the mass, the longer the period of oscillation will be.

3. Can the mass of the physical pendulum be calculated using only the length and period of oscillation?

Yes, the mass of the physical pendulum can be calculated using only the length and period of oscillation, as long as the acceleration due to gravity is known.

4. How does the length of the physical pendulum affect its period of oscillation?

The length of the physical pendulum has a direct effect on its period of oscillation. The longer the length, the longer the period of oscillation will be.

5. What is the relationship between the mass and length of a physical pendulum?

The relationship between the mass and length of a physical pendulum is not a direct one. The mass and length both affect the period of oscillation, but in different ways. Increasing the mass will increase the period, while increasing the length will decrease the period.

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