Unit 10 Practice Test Flashcards
Which of the following is an example of simple harmonic motion (SHM)?
A suspension bridge oscillating after an initial burst of wind.
A tuning fork, designed for 512 Hz, oscillates with SHM having a maximum displacement of 1.50 mm from the equilibrium. If timing begins at maximum displacement, which of the following is the equation governing the motion of the tuning fork?
x = 1.50 mm * cos (1024pi rad/s * t)
After a gust of wind, a building begins oscillating with a period of 2.05 s. Moving from one maximum to the other displaces the top of the building 3.00 m. If timing begins when the wind first strikes the building (the building is at equilibrium), which of the following equations represents the building’s motion?
x = 1.50 m * cos (2pi*t/2.05s + pi/2)
Consider the graph. Which of the following lists the amplitude, the period, and the angular frequency in order?
5.00 cm, 5.00 s, 0.4 pi rad/s
A mass m connected to a spring with spring constant k is free to slide horizontally on a frictionless surface. The system is set into simple harmonic motion with amplitude A = 1.3 m. If
m = 3.5 kg and k = 8.0 N / m, what is the maximum acceleration experienced by the mass?
3.0 m/s^2
Which of the following statements is true?
The particle executes simple harmonic motion with angular frequency sqrt(D^2q/m)
A mass-spring system executes simple harmonic motion with period T. The mass is increased by a factor of seven, while the spring is replaced by another that is twice as long and three times as stiff (the spring constant k is three times larger than before). How does the period T′ of the new system compare to T ?
T’ = sqrt(7/3) T
One of the springs on a city bus has been displaced by 0.500 m after hitting a bump and is oscillating with a frequency of 0.250 Hz. At
t = 0, a mass at the end of this spring is displaced 25.0 cm. Which of the following is the equation for the acceleration?
a(t) = -0.50 m (pi/2 rad/s)^2 * cos (pi/2 rad/s * t + pi/3)
A mass (m = 2.5kg) connected to a spring (k = 1.9 N/m) starts in equilibrium at x = 0 and is free to slide horizontally on a frictionless surface. The mass is given a brief impulse that sends it in the positive x-direction. If the velocity of the mass at x = 0.47 m is 0.37 m/s, what is the maximum x-value is reaches?
0.63m
A mass m connected to an ideal spring with spring constant k is executing simple harmonic motion on a horizontal frictionless surface. The position of the mass is given by x(t) + Acoswt. Which of the following is true when the kinetic energy of the system is equal tot he potential energy of the system?
tan^2 wt = 1
A particle is oscillating between y = −3.21 m and y = −3.27 m in simple harmonic motion with a period of 0.25 s. How fast is it moving when it is at the position y = −3.26 m?
0.56 m / s
The tow spring on a car has a spring constant of 3,086 N / m and is initially stretched 18.00 cm by a 100.0 kg college student on a skateboard. Which of the following is the velocity when the potential energy is 20.0 J?
0.774 m / s
Consider the motion of a simple pendulum. Which of the following are the position(s) of all of the equilibrium points?
The upward and the downward vertical positions
An inaccurate pendulum-driven grandfather clock shows two minutes and thirty seconds have elapsed when an accurate clock shows five minutes. Which of the following is the best way to make the grandfather clock accurate?
Increase the length by a factor of 4.
An oddly paranoid man is locked in a room with only his clothes and a digital watch. Using his shoes, he constructs a simple pendulum 40.0 cm long with a mass of 1.00 kg. He hopes to determine whether he is on Earth or somewhere else. Which of the following is the most useful equation for measuring g under these circumstances?
g = l(2pi/T)^2
