Simple Harmonic Motion - At which rate will a ball vibrate

In summary, the wire stretches 2.00 mm when a 60.0 kg ball is suspended from a 1.80 m long hanging wire. Assuming the stress on the wire is less than the proportional limit, the frequency at which the ball will vibrate if pulled down and released is 11.15 Hz. This is found by using the equations F=kx, T=2pi*sqrt(m/k), and f=1/T.
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pat666
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A hanging wire is 1.80 m long. When a 60.0 kg ball is suspended from the wire, the wire stretches 2.00 mm. If the ball is pulled down a small additional distance and released, at what frequency will it vibrate? Assume that the stress on the wire is less than the proportional limit.
I have found an answer but it seems too simple and does not take into account the length of the wire but I am pretty sure that it should. any help is appreciated. thanks


Homework Equations



F=kx
T=2pi*sqrt(m/k)
f=1/T

The Attempt at a Solution


Found the spring constant to be 294300n/m

then found the period of oscillation to be 0.0897s
then inverted it to find the frequency to be 11.15hz
 
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  • #2


Yes that is correct.
 

Related to Simple Harmonic Motion - At which rate will a ball vibrate

1. What is simple harmonic motion?

Simple harmonic motion is a type of periodic motion where an object moves back and forth in a straight line with a constant frequency and amplitude.

2. What causes simple harmonic motion?

Simple harmonic motion is caused by a restoring force that is directly proportional to the displacement of the object from its equilibrium position. This can be seen in systems such as a mass attached to a spring or a pendulum.

3. What factors affect the rate at which a ball vibrates in simple harmonic motion?

The rate at which a ball vibrates in simple harmonic motion is affected by the mass of the ball, the spring constant of the system, and the amplitude of the motion. These factors determine the frequency and period of the motion.

4. How do you calculate the frequency and period of a ball vibrating in simple harmonic motion?

The frequency of a ball vibrating in simple harmonic motion can be calculated using the equation f=1/T, where f is the frequency and T is the period. The period can be calculated using the equation T=2π√(m/k), where m is the mass of the ball and k is the spring constant of the system.

5. Can simple harmonic motion occur in systems other than a ball attached to a spring?

Yes, simple harmonic motion can occur in various systems such as a pendulum, a guitar string, or even a water molecule. As long as the restoring force is directly proportional to the displacement of the object, simple harmonic motion can occur.

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