Question 7 (10 pts)You are working on a simple oscillations lab related to pendulums. The goal of the lab was to findthe period of oscillation of the pendulum but you notice something interesting about the motion. Thependulum does not accurately represent pure SHM. Instead, the motion seems to be damped (likely byfriction at the pivot). To go above and beyond for your lab,a.) Come up with a way to find the time constant of the damped oscillation. You may use any tools atyour disposal from the lab. If you prefer, you may also consider the setup as a mass on a springrather than a pendulum.b.) In terms of the measured time constant T, what is the half-life of the oscillation? Show your work.

Answered: Question 7 (10 pts) You are working on…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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In Concept Simulation 10.2 you can explore the concepts that are important in this problem. Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 290 s. What is the magnitude of the acceleration due to gravity on this planet?
Question #4 Can you please answer the below questions? Please do not skip any steps include ALL of your work and double check for accuracy. Thank you.
i need the answer quickly
q5
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Problem 2 Speed Pendulum The speed of a pendulum is shown as a function of time (in units of to). (a) Resketch the plot if we double the amplitude but cut the length of the pendulum in half. What is the maximum speed? What is the frequency of oscillations? (b) Now resketch it if we instead just move the pendulum to a planet where you weigh twice as much. What is the maximum speed in this case? What is the frequency of oscillations? Vo -vot
A mass is attached to a 35 Newton/meter spring that is anchored to a wall. When the mass is displaced it undergoes simple harmonic motion. a) determine the period, Mass, amplitude, max velocity, and angular frequency of a solution b) sketch the corresponding position and acceleration graphs and put the appropriate numerical values on all axes c) what would happen to the quantities of amplitude was doubled? What physically causes the period to remain the same? d) determine the position, velocity, and acceleration of the mass at .30 seconds. Explain what the particles doing at that time
Write an equation to define the period of oscillation for a simple pendulum. Explain each variable in it. Also state the law of conservation of kinetic energy.
* Can you show me how to get the % error ? In the following table students record the time it takes for 10 cycles of the oscillating pendulum for various lengths of the pendulum. Assume the following data on the next slide is taken. Fill in all the missing entries. Note: You don't have to do the entire table I just need a couple examples to see where I am wrong.
1. An undamped harmonic oscillator of mass m and spring constant k oscillates with an amplitude A. In terms of A, at what postion x is the speed of the oscillator, v, is half of its maximum speed v max Think & Prepare 1. Set-up the mechanical energy equation at any postion in terms of the variables of m, k and A. In particular, set-up up two equations, one equation at x when v=Vmax/2 and one at x = A. 2. Is the mechanical energy conserved? If so, what how are the two energy equations in 1 related? 3. Solve for x when v=Vmax/2 in term of the amplitude A. 4. How many solutions for x are there? 1 x when vis V = + max 2 A
2 Bungee Oscillations An 83 kg student hangs from a bungee cord with spring constant 270 N/m. The student is pulled down to a point where the cord is 5.0 m longer than its unstretched length, then released. Problem 2.1. Draw a diagram describing this situation, including all the relevant forces. Problem 2.2. What is the maximum amplitude of the oscillation (hint: it is not 5.0 meters. You will have to find the displacement of the string at equilibrium)? Problem 2.3. What is the angular frequency of the oscillation?
Imagine a bar of gold is hung on a spring in your kitchen and it extends the spring by 7 cm. At approximately what frequency in Hz (cycles per second) wilI the bar oscillate up and down when given a gentle vertical kick, if there is essentially no damping. Hz If we take the spring and the bar of gold to the surface of the moon, will the oscillation frequency there be higher, lower, or the same? Explain your answer above.

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