Physics 011


Chapter 11 : Vibrations and Waves

Chapter 11


Practice Problems




A mass of kg is supported from above by a spring with a spring constant of 25 N/cm. To the nearest millimeter, how far is the spring stretched ?



In problem 1), to the nearest tenth of a hertz , what would be its frequency of vibration?



A 5 kg mass, m, rests on a frictionless, horizontal, wooden table top, and is attached to one end of a spring anchored at its other end . If the spring has a spring constant= N/cm and the mass is pulled back (in the positive direction ) 20 cm and released, to the nearest tenth of a joule, what is its total energy?



In problem 3), what is its kinetic energy at x= 5 cm?



In problem 3), if the mass is kg and the spring constant is 20 N/cm, to the nearest tenth of a m/s, what is its speed at x= 5 cm?



What is the angular frequency of the mass in problem 5) to the nearest tenth of a Hz?



A 7 kg mass hangs on a meter long weightless cord. To the nearest cm, what should the new length of the pendulum be in order that the new frequency be twice its current value?



If a meter long cord is fixed at both ends with a tension of 100 Newtons and has a mass of 50 gms, to the nearest tenth of a Hertz, what would be its fundamental frequency?



Two wires are anchored at both ends. Wire 1 has a mass of 81 gm and a length of m. Wire 2 has a mass of 50 grams, a length of 20 m, and a tension of 100 N. What must be the tension (to the nearest Newton) in wire 1 if its third harmonic is to equal the first overtone of wire 2?



If the tension on wire 1 above is 400 N, to the nearest tenth of a Hz, what is its fundamental frequency?