Exam 11: Oscillations and Waves

A 3.7-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 450 N/m. The block is pulled from its equilibrium position at x=0.000 m to a position x=+0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x -axis. The maximum elastic potential energy of the system is closest to

In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum 11.0 m long, which was set up in the Paris Observatory. How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if $g = 9.81 \mathrm {~m} / \mathrm { s } ^ { 2 }$ at the observatory?

The position of a cart that is oscillating on a spring is given by the equation x = (12.3 cm) cos[(1.26 s-1)t]. When t = 0.805 s, what are the (a) velocity and (b) acceleration of the cart?

On the Moon, the acceleration of gravity is g/6. If a pendulum has a period T on Earth, what will its period be on the Moon?

If a pendulum makes 12 complete swings in 8.0 s, what are its (a) frequency and (b) period?

A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency?

A 0.150-kg air track cart is attached to an ideal spring with a force constant (spring constant) of 3.58 N/m and undergoes simple harmonic oscillations. What is the period of the oscillations?

A string of linear density 1.5 g/m is under a tension of 20 N. What should be its length if its fundamental resonance frequency is 220 Hz?

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a Function of time?

An object of mass 6.8 kg is attached to an ideal spring of force constant (spring constant) 1720 N/m . The object is set into simple harmonic motion, with an initial velocity of and an initial displacement of Calculate the maximum speed the object raches during its motion.

Why does the intensity of waves from a small source decrease with the square of the distance from the source?

When a guitar is tuned to adjust it pitch, what is it that is changed?

The period of a simple pendulum that is 1.00 m long on another planet is 1.66 s. What is the acceleration due to gravity on this planet if the mass of the pendulum bob is 1.5 kg?

If both the mass of a simple pendulum and its length are doubled, the period will

What are the wavelength (in meters) and frequency (in hertz) of a wave whose displacement is given by the equation y=0.5 sin (0.20 x+120 t) , where x and y are in meters and t is in seconds?

A 0.39-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 570 N/m. The block is pulled from its equilibrium position at x=0.000 m to a displacement x=+0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x -axis. When the position of the block is x=0.057 m, its kinetic energy is closest to

A 3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where If the force constant (spring constant) of the spring is 12 N/m, find the period of oscillation of this setup on a planet where

An object attached to an ideal spring oscillates with an angular frequency of 2.81 rad/s. The object has a maximum displacement at t=0.00 s of 0.232 m. If the force constant (spring constant) is 29.8 N/m, what is the potential energy stored in the mass-spring system when t=1.42 s?

An object undergoing simple harmonic motion has a maximum displacement of 6.2 m at t=0.00 s. If the angular frequency of oscillation is 1.6 rad/s, what is the object's displacement when t=3.5 s?

Suppose you want to set up a simple pendulum with a period of 2.50 s. How long should it be (a) on Earth, at a location where $g = 9.80 \mathrm {~m} / \mathrm { s } 2 ?$ (b) on a planet where g is 5.00 times what it is on Earth?