Exam 11: Oscillations and Waves

In a supermarket, you place a 22.3-N (around 5 lb) bag of oranges on a scale, and the scale starts to oscillate at 2.7 Hz. What is the force constant (spring constant) of the spring of the scale?

A 0.16-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 360 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. When the position is x=-0.037 m, what is the acceleration of the block?

A 4.8-kg block attached to an ideal spring executes simple harmonic motion on a frictionless horizontal surface. At time t=0.00 s, the block has a displacement of -0.90 m, a velocity of -0.80 m/s, and an acceleration of The force constant (spring constant) of the spring is closest to

An air-track cart is attached to a spring and completes one oscillation every 5.67 s in simple harmonic motion. At time t=0.00 s the cart is released at the position x=+0.250 m. What is the position of the cart when t=29.6 s ?

A simple pendulum having a bob of mass M has a period T. If you double M but change nothing else, what would be the new period?

If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

A point on the string of a violin moves up and down in simple harmonic motion with an amplitude of 1.24 mm and a frequency of 875 Hz. (a) What is the maximum speed of that point in SI units? (b) What is the maximum acceleration of the point in SI units?

An object of mass m=8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. The spring stretches 2.2 cm before it reaches its equilibrium position. If it were now allowed to oscillate by this spring, what would be its frequency?

Find the speed of an ocean wave whose displacement is given by the equation y=3.7 cos(2.2 x-5.6 t) where x and y are in meters and t is in seconds.

The speed of propagation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s Which one of the following is not a resonant frequency of this string?

An astronaut has landed on an asteroid and conducts an experiment to determine the acceleration of gravity on that asteroid. He uses a simple pendulum that has a period of oscillation of 2.00 s on Earth and finds that on the asteroid the period is 11.3 s. What is the acceleration of gravity on that asteroid?

A tsunami, an ocean wave generated by an earthquake, propagates along the open ocean at 700 km/hr and has a wavelength of 750 km. What is the frequency of the waves in such a tsunami?

The vertical displacement y(x, t) of a horizontal string aligned along the x -axis is given by the equation $y ( x , t ) = ( 6.00 \mathrm {~mm} ) \cos \left[ \left( 3.25 \mathrm {~m} ^ { - 1 } \right) x - \left( 7.22 \mathrm {~s} ^ { - 1 } \right) t \right]$ What are the (a) speed and (b) amplitude of this wave?

A fisherman fishing from a pier observes that the float on his line bobs up and down, taking 2.4 s to move from its highest point to its lowest point. He also estimates that the distance between adjacent wave crests is 48 m. What is the speed of the waves going past the pier?