|
ID/Type |
Web Link or WA Question Code |
Local download |
Launch from browser |
Description |
|
M07t |
Simple
Harmonic Motion |
spring-motion-4.iwp |
spring-motion-4.iwp |
When you play the animation, the block oscillates horizontally about the origin on a frictionless table. The origin is in the center, the direction of +x is to the right, and the grid spacing is 0.02 m. The oscillation is the result of a Hooke's Law force applied by the spring to the block. The heights of the vertical bars shown below the table are proportional to the values of kinetic and elastic potential energy of the block-spring system. |
|
M08 |
Period of a
System in SHM |
vertical-spring-02.iwp |
vertical-spring-02.iwp |
A platform of mass 0.0500 kg hangs from a spring that obeys Hooke's Law. Mass can be added to the platform in 0.0500 kg amounts. The platform is initially held above the equilibrium position by a stick. The stick is then pulled out quickly, and the mass undergoes simple harmonic motion. The pointer on the bottom of the platform indicates readings on a vertical scale. The smallest divisions on the scale are 0.01 m. Positions may also be read by clicking Show Graph. |
|
E.13.03b |
APB-13-03-01b |
pendulum02.iwp |
pendulum02.iwp |
A pendulum is released from rest and oscillates in a vertical plane. For which positions (A, B, C) is the tangential acceleration 0? maximum? centripetal acceleration 0? maximum? |
|
E.13.03b |
APB-13-03-04mc |
pendulum03.iwp |
pendulum03.iwp |
A pendulum is set up on the surface of Planet X. The bob is released from rest and oscillates in a vertical plane. What is the acceleration due to gravity on the surface of Planet X? |
|
E.13.03b |
APB-13-03-03mc |
spring-circle-analogy-02.iwp |
spring-circle-analogy-02.iwp |
A ball oscillates in simple harmonic motion about the origin, while a second ball moves at constant speed in a circular path. Both balls start at y = 0 and have the same initial velocity. The black vector represents the velocity of the red ball, and the orange vectors represent the total velocity and the x- and y-velocity components of the green ball. The speed of the green ball and the angle that its radius vector makes with the +x-axis are given under Outputs.
At all times, the position and velocity of the red ball are equal to the y-components of the position and velocity of the green ball. It may be helpful to think of the motion of the red ball as the projection of the motion of the green ball onto the y-axis. This is what the gray shadow represents. |
|
E.13.03b |
APB-13-03-05mc |
shm-phase-02b.iwp |
shm-phase-02b.iwp |
The red and blue objects have the same mass and oscillate in SHM with the same period and amplitude. The only thing different is the phase. Click Show Graph to see position vs. time graphs of both objects.
Determine what the phase of the blue object must be so that it starts at the same position and with the same velocity and acceleration as the red object. You can check your answer by inputing the value of phase that you calculate. Note that the phase is input in radians. |
|
E.13.03b |
APB-13-03-06mc |
shm-phase-03.iwp |
shm-phase-03.iwp |
The red and blue objects have the same mass and oscillate in SHM with the same period and amplitude. The only thing different is the phase. Determine what the phase of the blue object must be so that it starts at the same position and with the same velocity and acceleration as the red object. |
|
E.13.03b |
APB-13-03-13 |
spring-equation-02.iwp |
spring-equation-02.iwp |
A ball oscillates horizontally in simple harmonic motion on a frictionless surface. Write the equation of the ball's motion. The grid spacing is 0.01 m. Click Show Graph to see graphs of position and velocity vs. time. |
|
E.13.03b |
APB-13-03-14 |
spring-equation-03.iwp |
spring-equation-03.iwp |
A ball oscillates horizontally in simple harmonic motion on a frictionless surface. The ball is initially moving. Write the equation of the ball's motion. The grid spacing is 0.01 m. Click Show Graph to see graphs of position and velocity vs. time. |
|
E.13.03 |
APB-13-03-07 |
shm-xva-plot.iwp |
shm-xva-plot.iwp |
The black square shows an object in 1-dimensional simple harmonic
motion along the x-axis. Each of the circular colored markers represents one of
the following plots for the object's motion.
a. x-axis: position y-axis: velocity
b. x-axis: position y-axis: acceleration
c x-axis: velocity y-axis: acceleration
Which color marker goes with which lettered plot? (For a display of position,
velocity, and acceleration vs. time graphs of the object's motion, click Show
Graph.) |
|
E.13.03 |
APB-13-03-08mc |
lissajous-figures-2.iwp |
lissajous-figures-2.iwp |
An object is subject to independent restoring forces along the x-
and y-axes. It's like being pulled on by springs along both axes simultaneously.
Do the following.
a. Change one input in order to make the object's path elliptical. In general,
what must be true to produce an elliptical path?
b. Change inputs as necessary to make the object move in a straight, diagonal
line with slope = 1 or -1.
c. Change inputs as necessary to make the object move in a figure-8 path (2
closed loops). Now make a change to produce a path with 4 closed loops. In
general, what is necessary to produce a path with n closed loops?
The figures that you're generating are called Lissajous figures. They have value
in electronics for precise comparison of frequencies. |
|
E.13.04 |
APB-13-03-04mc |
pendulum03.iwp |
pendulum03.iwp |
A pendulum is set up on the surface of Planet X. The bob is released from rest and oscillates in a vertical plane. What is the acceleration due to gravity on the surface of Planet X? |