How are frequency and period related? What happens to the period of a pendulum i

Question

How are frequency and period related? What happens to the period of a pendulum if ... Mass increases Amplitude increases What happens to the energy of a pendulum if.. Mass increases Amplitude increases What happens to the period of a horizontal spring if ... Mass increases Amplitude increases What happens to the energy of a spring if.. Mass increases Amplitude increases Density of the medium increases Gravitational force increases Density of the medium increases Gravitational force increases Density of the medium increases Spring stiffness increases Density of the medium increases Spring Stiffness increases

Explanation / Answer

1. f = 1/T

2. We know that time period of pendulum is T = 2pi*sqrt(L/g)

we can see that it is dependent only on length and gravitational acceleration.

if mass increase, then no effect on time period.

if density of medium increase, then no effect on time period.

if amplitude increase, then no effect on time period.

if gravitational force increase, then time period will be decreased.

3. PE = mgh

hence if mass increases, PE will be increased.

hence if gravitation force increases, PE will be increased.

4. we know that Time period of spring T = 2pi*sqrt(m/k)

hence we can see that it depends only on mass and spring stiffness

if mass increases, then T will be increased.

if stiffness of spring increases, then T will be decreased.

other parameters do not affect time period.

5. Energy of spring = 0.5*k*x2

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