How does the period of an SHM vary with the force constant?

The period is related to how stiff the system is. A very stiff object has a large force constant k, which causes the system to have a smaller period. For example, you can adjust a diving board’s stiffness—the stiffer it is, the faster it vibrates, and the shorter its period.

What does the time period of a simple pendulum depend on?

the length of
Note: The time period of the simple pendulum depends upon the length of the pendulum and also to some extent it depends upon the degree of the amplitude. That is the width of the pendulum’s swing. In general, the time period of a pendulum means one complete cycle that is one complete left swing and right swing.

How does the frequency of an SHM vary with the force constant k?

Thus, the frequency of an SHM is directly proportional to the square root of the force constant of the motion.

Does the period of oscillation depend on mass?

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.

Does pendulum period depend on mass?

What is simple pendulum show that the time period of a simple pendulum does not depend upon the mass of the bob?

The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g, according to The mpeg movie at left (39.5 kB) shows two pendula, with different lengths.

How does pendulum depend on length?

The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

How does time period of a simple pendulum depends on its effective length?

Answer: (a) The period of a simple pendulum equals 2 times π times the square root of the length of the pendulum over g, the acceleration due to gravity. 2, π, and g are constant, so the only variable is L. Therefore the period is dependent on the length.

What is frequency of SHM?

The frequency of simple harmonic motion like a mass on a spring is determined by the mass m and the stiffness of the spring expressed in terms of a spring constant k ( see Hooke’s Law): If the period is T = s. then the frequency is f = Hz and the angular frequency = rad/s.

How does the frequency of oscillation depend on the spring constant?

radians per second = rad/s. The natural resonant frequency of the oscillator can be changed by changing either the spring constant or the oscillating mass. Using a stiffer spring would increase the frequency of the oscillating system. The period is inversely proportional to the linear frequency.