A spider is dangling at the end of a silk thread. You can make the spider bounce up and down on the thread by tapping lightly on his feet with a pencil. You soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second. What is the spring constant of the silk thread?
The spring constant of the silk thread is
Forced Oscillations and Resonance:
If an external driving force with angular frequency acts on an oscillating system with natural angular frequency the system oscillates with angular frequency
The amplitude of the system is largest when
The spider's amplitude is greatest when the person's driving angular frequency matches the natural angular frequency of the spider's system and the silk thread from the equation.
where is the frequency at which the person taps the spider which is equal to since the spider is tapped once each second, is the spring constant of the silk thread, and is the mass of the spider. Solve for
Subtitle numerical value.
A A compact car has a mass of . Assume that the car has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs.
a. What is the spring constant of each spring if the empty car bounces up and down times each second?
b. What will be the car's oscillation frequency while carrying four passengers?
A 7 kg student jumps off a bridge with a -m-long bungee cord tied to his feet. The massless bungee cord has a spring constant of .
a. How far below the bridge is the student’s lowest point?
b. How long does it take the student to reach his lowest point? You can assume that the bungee cord exerts no force until it begins to stretch.
94% of StudySmarter users get better grades.Sign up for free