PHYS 151 – Chapters 11 Review Problems

  1. If a particle undergoes SHM with an amplitude of 0.2m, what is the total distance it travels in one period? The total distance it travels in 1 cycle?
  1. An elastic cord vibrates with a frequency of 3.0 Hz when a mass of 0.6kg is hung from it. What is the approximate spring constant of the cord? What it’s frequency when a 0.3kg mass is hung from it?
  1. A 0.6kg mass at the end of a spring vibrates 3 times per second with an amplitude of 0.13m. What is the velocity when it passes through equilibrium? What is its velocity 0.1m from equilibrium? What is the total energy of the system?
  1. It takes a force of 80N to compress the spring of a toy dart gun 0.2m to “load” a 0.18kg dart. With what speed will the dart leave the gun?
  1. How long must a pendulum be to swing 1 time per second? How long to swing 2x’s per second?
  1. A clock’s pendulum is 0.993m long. If the clock loses 30 seconds per day, how should you adjust the length of the pendulum to be “on time”?
  1. A wave is traveling in 22°C air. If the distance from the point of max compression to the following point of max rarefaction is 1m, what is the frequency of the wave?
  1. A .5kg cord is stretched between posts 20m apart. If a pulse can travel from one post to the other in ¼ of a second, what tension is the cord under?
  1. An instrument’s “A” string vibrates at 400 cycles per second when struck. Using our finger we shorten the string by 10%. What frequency is heard if the 90% long string is struck? What frequency when the 10% long section is played?
  1. A 3.6g guitar string is 90cm long. When installed on a guitar it vibrates between the nut and the bridge that are 62cm apart. If the string is put under 520N of tension, what is the frequency it will vibrate with? What is fundamental frequency? What is the second harmonic frequency?