From these data, a graph of force versus displacement was plotted, and a linear fit slope revealed the spring constant. During part three of the experiment, the period of the spring was measured as mass was varied while amplitude remained constant.
The heavier the mass attached to the spring, the longer the period will be, as it is proportional to the square root of the mass Equation 5. We first hung g on the spring and then stretched it 10 cm down and let it go and run for 10 seconds.
Record this displacement value. Repeat the above step for two or three additional values of mass up to about g. The mass-spring system acts similar to a spring scale. Gravitational potential energy, which is discussed in another video, is the energy associated that is directly proportional to the height of an object above the ground.
If the body in Figure 4 is displaced from its equilibrium position some maximum distance,and then released, it will oscillate about the equilibrium position. What does the slope of the graph is question 3 represent?
The data confirms this expectation, as the period was nearly the same for each trial. The values of k determined by the two methods may then be compared and used as a verification of the validity of the theories involved. Record this displacement in Table 1.
We then performed this test for all the same masses used in the previous test.
The body's mass is increased by 0. Plot the graph of T2 vs.
After graphing forces versus displacement, a value of 3. We could see that the plot created a linear graph so we performed a linear fit of the points. Make sure that the slots are exactly parallel and opposite to each other such that the weights hang perfectly vertical.
The sphere is then released and oscillates about a fixed point. The student recorded the following data: This is a percent difference of 6. We hung the spring on the rod and measured how high off the ground the bottom of the spring was. If so, which is greater and why? In closure, the class will discuss observations and compare data with other groups.
With the weight attached, slightly raise the weight before releasing it. As the stiffness of the spring increases that is, as increasesthe period decreases which has the effect of increasing the body's average velocity.
Mass pan Figure 9. The object is often called the "mass. In this lab I learned how we could find the spring constant of a spring from 1. The student measured the length l of the pendulum.
We then calculated the normal force of the masses which is equal to the weight force since the Fnet y was 0.where k is the spring constant and m the mass of the system undergoing the simple harmonic motion.
The unit of angular frequency is The unit of angular frequency is radians per second = rad/s. Hooke's Law and the phenomenon of simple harmonic motion help in understanding the physics associated with elastic objects.
Hooke's Law implies that in order to deform an elastic object, like a slingshot, a force must be applied to overcome the restoring force exerted by that object.
Hooke's Law and Simple Harmonic Motion Students will graphically determine the spring constant k using their knowledge of Newton's Laws of Motion and Hooke's Law and by determining the period of a weight on a spring undergoing simple harmonic motion.
Hooke's Law and the Simple Harmonic Motion of a Spring Lab The purpose of this lab is to find the force constant of a spring and to also study the motion of a spring with a hanging mass when vibrating under the influence of gravity. Experiment 1 Hooke's Law and Simple Harmonic Motion.
Objectives. 1. To verify Hooke's law for a linear spring, and. 2. To verify the formula for the period, T, of an oscillating mass-spring system Equipment. Hooke's Law and Simple Harmonic Motion Students will graphically determine the spring constant k using their knowledge of Newton's Laws of Motion and Hooke's Law and by determining the period of a weight on a spring undergoing simple harmonic motion.Download