Week 10 Homework Assignment

 

  1. (P.369. Prob.4) A wire of length 5.00m with a cross-sectional area of 0.100cm2 stretches by 6.50mm when a load of 1.00kN is hung from it. What is the Young's modulus or this wire?
  2. (P.369 Prob.14) What is the maximum load that could be suspended from a copper wire of length 1.0m and radius 1.0mm without breaking the wire? Copper has an elastic limit of 2.0 x108Pa and a tensile strength of 4.0x108Pa.
  3. (P.370 Prob.22) An anchor, made of cast iron of bulk modulus 60.0 x 109Pa and of volume 0.230m3, is lowered over the side of the ship to the bottom of the harbor where the pressure is greater than sea level pressure by 1.75 x 106Pa. Find the change in the volume of the anchor.
  4. (P.370 Prob.34) Equipment be be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight. A radio receiver of mass 5.24kg is set on a platform that vibrates in SHM at 120Hz and with a maximum acceleration of 98m/s2 (- 10g). Find the radio's (a) maximum displacement, (b) maximum speed, and (c) the maxim8ukm net force exerted on it.
  5. (P.371 Prob.44) A mass-and-spring system oscillates with amplitude A and angular frequency w. (a) What is the average speed during one complete cycle of oscillation? (b) What is the maximum speed? (c) Find the ratio of the average speed to the maximum speed. (d) Sketch a graph of vx(t), and refer to it to explain why this ratio is greater than 1/2.
  6. (P.371 Prob.52) A clock has a  pendulum that performs one full swing every 1.0s (back and forth). The object at the end of the pendulum weighs 10.0N. What is the length of the pendulum?