When four people with a combined mass of 300 kg sit down in a car, they find that the car drops 0.50 cm lower on its springs. Then they get out of the car and bounce it up and down. What is the frequency of the car's vibration if its mass (when it is empty) is 2.0 ✕ 103 kg?

A 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At one instant, the mass is at x = 5.0 cm and has v₁ = -30 cm/s.

volem 9. A 1.97 kg mass is suspended by a spring with a spring constant of 0.394 N/m, and the other end of the spring is affixed to the underside of a wooden shelf which, in turn, is firmly attached to the wall. The mass is given a small vertical displacement, and the system is allowed to oscillate. Electronic data collection apparatus is used to measure the position of the mass, and a graph of position versus time is created. The graph indicates that the system is lightly damped. Students count the number of oscillations that occur until the amplitude has decreased. 62.5% of its initial value. From this, it is determined that the damping coefficient is b=2.83 x 10-³ kg/s. How many oscillations did the students count? N=

A mass is attached to the end of a spring. Then it is displaces 4.00cm from its equilibrium position. In the next 0.500 s, the mass moves through its equilibrium position, stops 4.00cm on the other side, then returns to its original displacement. It continues to vibrate at this rate. What are its amplitude,period, and frequency?