The ultrasonic transducer used in a medical ultrasound imaging device is a very thin disk (m = 0.10 g) driven back and forth in SHM at 1.0 MHz by an electromagnetic coil. Part A The maximum restoring force that can be applied to the disk without breaking it is 47,000 N. What is the maximum […]
Taipei 101 (a 101-story building in Taiwan) is sited in an area that is prone to earthquakes and typhoons, both of which can lead to dangerous oscillations of the building. To reduce the maximum amplitude, the building has a tuned mass damper, a 660,000 kg mass suspended from 42-m-long cables that oscillates at the same […]
An elephant’s legs have a reasonably uniform cross section from top to bottom, and they are quite long, pivoting high on the animal’s body. When an elephant moves at a walk, it uses very little energy to bring its legs forward, simply allowing them to swing like pendulums. For fluid walking motion, this time should […]
The mass in a pendulum clock completes one complete swing in 2.00 s . Part A What is the length of the rod? Express your answer to three significant figures and include the appropriate units.
Part A When the displacement of a mass on a spring is 12A the half of the amplitude, what fraction of the mechanical energy is kinetic energy? Express your answer using two significant figures. Part B At what displacement, as a fraction of A, is the mechanical energy half kinetic and half potential? Express your […]
We can model the motion of a dragonfly’s wing as simple harmonic motion. The total distance between the upper and lower limits of motion of the wing tip is 1.0 cm . The wing oscillates at 40 Hz . Part A What is the maximum speed of the wing tip? Express your answer to two […]
Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.2 m with a period of 13 s. Part A What is the maximum acceleration of the passengers during this motion? […]
A spring scale hung from the ceiling stretches by 6.4 cm when a 1.2 kg mass is hung from it. The 1.2 kg mass is removed and replaced with a 1.5 kg mass. Part A What is the stretch of the spring? Express your answer to two significant figures and include the appropriate units.
In the aftermath of an intense earthquake, the earth as a whole “rings” with a period of 54 minutes. Part A What is the frequency of this oscillation? Express your answer using two significant figures.
Flies flap their wings at frequencies much too high for pure muscle action. A hypothesis for how they achieve these high frequencies is that the flapping of their wings is the driven oscillation of a mass-spring system. One way to test this is to trim a fly’s wings. Part A If the oscillation of the […]