What is the frequency of the car's vibration

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SUMMARY

The discussion focuses on calculating the frequency of a car's vibration when a combined mass of 270 kg is added, causing the car to drop 1.00 cm. The empty mass of the car is specified as 2.0 x 103 kg. Participants also explore related physics problems involving wave speed on strings and the effects of temperature on pendulum timekeeping. The conversation emphasizes the importance of understanding simple harmonic motion (SHM) principles to solve these problems effectively.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of wave speed calculations in strings
  • Familiarity with thermal expansion concepts
  • Basic principles of gravitational acceleration (g)
NEXT STEPS
  • Calculate the frequency of vibration using the formula for SHM
  • Learn about wave speed calculations on different mass strings
  • Study the effects of temperature on pendulum clocks
  • Explore gravitational acceleration measurement techniques
USEFUL FOR

Students in physics, particularly those studying mechanics and wave phenomena, as well as educators looking for practical examples of SHM and wave speed applications.

saltyload
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Having trouble figuring out these 4 problems. I could use a walk through or an answer. thanks guys.

Homework Statement


1a)When four people with a combined mass of 270 kg sit down in a car, they find that the car drops 1.00 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?b)An astronaut on a small planet wishes to measure the local value of g by timing pulses traveling down a wire which has a large object suspended from it. Assume a wire of mass 4.00 g is 1.60 m long and has a 3.00 kg object suspended from it. A pulse requires 38.3 ms to traverse the length of the wire. Calculate gplanet from these data. (You may neglect the mass of the wire when calculating the tension in it.)c)A string is 41.0 cm long and has a mass of 3.00 g. A wave travels at 4.55 m/s along this string. A second string has the same length but one-fourth the mass of the first. If the two strings are under the same tension, what is the speed of a wave along the second string?d)An aluminum clock pendulum having a period of 1.80 s keeps perfect time at 20.0?C. When placed in a room at a temperature of -5?C, it will gain time. How much time will it gain or lose every hour?

The Attempt at a Solution


3) For question d, I used the equation for thermal expansion and got the new length. Then I set up a proportion for 1.8/3600 = 1.794/x. It was wrong :(
 
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saltyload said:
Having trouble figuring out these 4 problems. I could use a walk through or an answer. thanks guys.
We're more than happy to help you with your problems, but you're going to have to do some work yourself and we certainly won't give you any answers.
saltyload said:
1a)When four people with a combined mass of 270 kg sit down in a car, they find that the car drops 1.00 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?
Let's start with the first question, which concepts do you think would apply here? Try reading your class notes on SHM and see if it helps.
 

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