Mass and spring properties when in simple harmonic motion.

A mass sits on a frictionless table. It is attached to a wall by a spring. The mass is initially located at x = 0 when the spring is unstretched (equilibrium position). You pull the mass away from the equilibrium position, out to x = A, and then release it. The mass then oscillates horizontally back and forth in simple harmonic motion. Which of the statements below are true about this motion? (Give ALL correct answers: B, AC, BCD .., or None) A) The speed of the mass is maximum at x = 0 B) The total energy of the mass-spring system at x = A is the same as the total energy at x = 0 C) Simple harmonic motion can also be referred to as periodic motion D) The potential energy of the ma... click for more

True and false questions about a pendulum that has a mass on one end and undergoing simple harmonic motion.

Consider an ideal pendulum consisting of a "bob" of mass m hanging from a light (massless) string of length L. The pendulum swings back and forth in simple harmonic motion (SHM). You may assume that the oscillations are small, so that the motion is "ideal" SHM. Which of the following statements are true? (Give ALL correct answers) A) If the mass of the pendulum bob is changed to 4m, the frequency will decrease by a factor of 4 B) If the string length is changed to 4L, the frequency will decrease by a factor of 2 C) In order to deduce the value of g (acceleration due to gravity), you would need to measure the length and the frequency of the pendulum D) If the pendulum is moved to the... click for more

Working with destructive interference.

Two violinists are standing essentially at the same spot and are playing for a listener directly in front of them at some distance. Both violinists are playing the same note, with a frequency of 460.0 Hz. Because the sound waves emanate from the same location, the listener hears constructive interference. If one violinist is going to step back a bit (away from the listener), what is the smallest distance she can go back in order to produce destructive interference at the listener's position?

Determining the beat frequency that results in sound pipes when the temperature changes.

Two pipes, equal in length, are each open at one end. Each has a fundamental frequency of 479 Hz at 18 C. In one pipe the air temperature is increased to 21 C. If the two pipes are sounded together, what beat frequency results?

Calculating the period of oscillation of a mass/spring system.

If a mass of 600.0 g is hung from the bottom of a vertical spring, the spring will stretch 28.0 cm. Now the hanging mass is removed, and the spring is placed horizontally on a frictionless table. One end of the spring is held fixed and the other end is attached to a 370.0 g mass. The mass is then pulled out a distance of 14.0 cm from its equilibrium position and released from rest. What is the period of oscillation of this mass/spring system?