Physics

Relationship between period of pendulum and mass?

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The mass will not affect the perio

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The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.

Nothing, unless the centre of mass is changed, thereby altering the length of the pendulum.

If you make the simplifying assumption that everything except the bob is massless, then the mass of the bob has no effect on the period.

Ideally, nothing. As long as the mass of the string is very small compared to the mass of the bob. The formula for the period of the pendulum doesn't even mention the mass of the bob.

The length of the pendulum, and the acceleration due to gravity. Despite what many people believe, the mass has nothing to do with the period of a pendulum.

In a simple pendulum, with its entire mass concentrated at the end of a string, the period depends on the distance of the mass from the pivot point. A physical pendulum's period is affected by the distance of the centre-of-gravity of the pendulum arm to the pivot point, its mass and its moment of inertia about the pivot point. In real life the pendulum period can also be affected by air resistance, temperature changes etc.

No, but it affects the life of the bearings.

Yes. Given a constant for gravity, the period of the pendulum is a function of it's length to the center of mass. In a higher gravity, the period would be shorter for the same length of pendulum.

The PERIOD of a Simple Pendulum is affected by its LENGTH, and NOT by its Mass or the amplitude of its swing. So, in your case, the Period of the Pendulum's swing would remain UNCHANGED!

Not in the theoretical world, in the practical world: just a very little. The period is determined primarily by the length of the pendulum. If the rod is not a very small fraction of the mass of the bob then the mass center of the rod will have to be taken into account when calculating the "length" of the pendulum.

Mass oscillation time period = 2 pi sq rt. (m/k) Pendulum oscillation time period = 2 pi sq rt. (l/g)

The period of a simple pendulum is independent of the mass of the bob. Keep in mind that the size of the bob does affect the length of the pendulum.

Knowing mass and period of vibrations it's very easy to do using formula for pendulum.

It doesn't. Only the length of the pendulum and the strength of the gravitational field alter the period/frequency.

According to the mathematics and physics of the simple pendulum hung on a massless string, neither the mass of the bob nor the angular displacement at the limits of its swing has any influence on the pendulum's period.

Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.

Assuming an idealised pendulum with a small amplitude, both are examples of simple harmonic motion. That is, the second derivative of the curve is directly proportional to its displacement but in the opposite direction. If the amplitude (swing) of the pendulum is large or if the majority of its mass is not oi the "blob" the relationship is only approximate.

the period T of a rigid-body compound pendulum for small angles is given byT=2&pi;&radic;I/mgRwhere I is the moment of inertia of the pendulum about the pivot point, m is the mass of the pendulum, and R is the distance between the pivot point and the center of mass of the pendulum.For example, for a pendulum made of a rigid uniform rod of length L pivoted at its end, I = (1/3)mL2. The center of mass is located in the center of the rod, so R = L/2. Substituting these values into the above equation gives T = 2&pi;&radic;2L/3g. This shows that a rigid rod pendulum has the same period as a simple pendulum of 2/3 its length.

The period of a pendulum is totally un-affected by the mass of the bob.The time period of pendulum is given by the eqn.T=2*PIE*(l/g)1/2 ;l is the length of pendulum;g is the acceleration due to gravity.'l' is the length from the centre of suspension to the centre of gravity the bob.ie.the length of the pendulum depends on the centre of gravity of the bob,and hence the distribution of mass of the bob.

The time period does not depend on the mass of the pendulum, my age, or the colour of next door's car and a vast range of other factors.

A simple pendulum with a length of 45m has a period of 13.46 seconds. If the string is weightless, then the mass of the bob has no effect on the period, i.e. it doesn't matter.

Period of pendulum depends only on its length that too directly and acceleration due to gravity at that place, but inversely But it is independent of the mass of the bob So as length increases its period increases.

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