Module 4

PART A. Simple Pendulum Fill in the table with your gathered data. Note that when computing always use raw data, but answers in the table must be round off to the specified place values. Answers must be numerical values only and must have no comma or space between numbers. Table 1. Simple Pendulum Mass: 1.00 kg Total time (s) Period T (s) Square of the Period T2 (s2) Length of Pendulum l(m) 25 oscillations Round off to hundredths place (2 decimals) Round off to hundredths place (2 decimals) Round off to tenths place (1 decimal) 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00

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A block attached to a vertical spring oscillates up and down, the length of a spring is shown below. The mass of the block is 5.0 kg. What is the spring constant of the spring, in N/m? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. L (m) 1.4 1.2 1.0- 0.8- 0.6 0.4 0.2 - 0.0 t (s) 6. 3.

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Plz give a short answer to these three questions 1- The spring is characterized by the spring constant, moreover, the force per displacement. How is the slope related to the spring constant ? 2- How is the last column in the Table 4 related to the spring constant ? What if we average the values of last column in Table 4? Explain your answers. What is the meaning y-intercept ? Do you understand why it is always better use y=mx+b as opposed to y=mx in performing a curve fit ? Plz just give me a small answer to each one

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.

Problem 9 A mass hangs from a thread and undergoes small-angle oscillations as a simple pendulum. The period of the pendulum's oscillations is 0.86 s. If the length of the thread that the mass hangs from is doubled, what is the new oscillation period for the pendulum? Don't forget units!

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Using a stopwatch, you measure the period of a grandfather clock. Your results are 0.6, 0.6 and 0.7 sec. c. What is your best estimate of the error? d. What is your percent error? e. What is your fractional error? f. Write down your measurement for the period, and express the error in terms of ±.

Use the attached graph to answer the following questions: a. Find the frequency of the motion b. Find the angular frequency of the motion

The springs only stretch and compress in a linear way. They do not twist nor bend. 1. Determine the degree of freedom of the system. 2. Determine the displacement vector and mass matrix of that dimension. 3. List all possible modes of vibration and explain the reason why they occur qualitatively with diagrams.

A pendulum oscillates 21 times in 30 seconds. a. What is the frequency of the pendulum’s oscillations ?b. What is the period of the pendulum’s oscillations ? c. What is the length of the pendulum?( Round answer to the nearest centimeter)

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A block attached to a horizontal spring oscillates on a frictionless surface, the x-t graph of the block is shown below. What is the frequency of the oscillation, in Hz?  Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

Drag each label to the correct location on the equation. Not all labels will be used. The time, 7. in seconds, a pendulum takes to move back and forth once is 2/7 times the square root of the length of the pendulum, L. in feet, divided by the square root of the acceleration due to gravity. 32 feet/second². Enter the correct values in the equation with respect to the motion of the pendulum. 207 T 32 L 882 7.29 0.55 If it takes the pendulum 1.5 seconds to move back and forth once, the length of the pendulum is approximately feet.

Please answer parts (c), (d), and (e)

Use the following prompt for questions 1-2. Alexandra and Sal are conducting an experiment to study pendulums. In their first experiment, Alexandra and Sal changed the length of the pendulum and measured its period. In their second experiment, the mass of the pendulum bob was varied, and period was measured. 1. Before running the experiments, Sal hypothesized that increasing the mass of the pendulum would result in an increase in the pendulum's period. Was Sal correct? A. Sal was correct because mass is the only variable that will affect the period of the pendulum. B. Sal was correct because mass and length both affect the period of the pendulum. C. Sal was incorrect because only the length of the pendulum will affect the period of the pendulum. D. Sal was incorrect because only the initial angle will affect the period of the pendulum. te Education TM Inc.

Use the following prompt for questions 1-2. Alexandra and Sal are conducting an experiment to study pendulums. In their first experiment, Alexandra and Sal changed the length of the pendulum and measured its period. In their second experiment, the mass of the pendulum bob was varied, and period was measured. 1. Before running the experiments, Sal hypothesized that increasing the mass of the pendulum would result in an increase in the pendulum's period. Was Sal correct? A. Sal was correct because mass is the only variable that will affect the period of the pendulum. B. Sal was correct because mass and length both affect the period of the pendulum. C. Sal was incorrect because only the length of the pendulum will affect the period of the pendulum. D. Sal was incorrect because only the initial angle will affect the period of the pendulum. inate Education TM, Inc.

Use the following prompt for questions 1-2. Alexandra and Sal are conducting an experiment to study pendulums. In their first experiment, Alexandra and Sal changed the length of the pendulum and measured its period. In their second experiment, the mass of the pendulum bob was varied, and period was measured. 1. Before running the experiments, Sal hypothesized that increasing the mass of the pendulum would result in an increase in the pendulum's period. Was Sal correct? A. Sal was correct because mass is the only variable that will affect the period of the pendulum. B. Sal was correct because mass and length both affect the period of the pendulum. C. Sal was incorrect because only the length of the pendulum will affect the period of the pendulum. D. Sal was incorrect because only the initial angle will affect the period of the pendulum. ©2021Illuminate Education TM, Inc.

A pendulum makes 23 oscillations in exactly 50 s. Part A What is its period? Express your answer to two significant figures and include the appropriate units. HẢ T = Value Units Submit Request Answer Part B What is its frequency? Express your answer to two significant figures and include the appropriate units. ? HA f = Value Units

An oscillating system completed 15 cycles of motion in 15 seconds.A. What is the frequency of the oscillation? What is the period?

2. Derive an equation that expresses the length of a pendulum as a function of the acceleration due to gravity, g, and the period of oscillation, T, of the pendulum. Provide the answer below where it says, "L=" and show all relevant work. I L=

In the formula F = − kx , what does the minus sign indicate?  a. It indicates that the restoring force is in the direction of the displacement.  b. It indicates that the restoring force is in the direction opposite the displacement.  c. It indicates that mechanical energy in the system decreases when a system undergoes oscillation.  d. None of the above

The maximum height of a ferris wheel is 11m. The wheel takes 3 min to make 1 turn.People get on the ferris wheel 1m above the ground at the bottom of the wheel’s rotation. a) State the amplitude, period, and vertical shift of the graph. b)Write an equation to represent the model you determined in part a). c) Determine how high the passenger will be at 60 seconds

The maximum height of a ferris wheel is 14.5m. The wheel takes 4 min to make 1 turn. People get on the ferris wheel 0.5m above the ground at the bottom of the wheel’s rotation. a) State the amplitude, period, and vertical shift of the graph. b) Write an equation to represent the model you determined in part a). c) Determine how high the passenger will be at 40 seconds.

3. The vertical spring is linked to aload of mass 5 kg which is compressed by 10m Determine the force constant of the spring. 4. Explain how gravitational potential energy relates to the position/configuration of the system 5. Explain how elastic potential energy relates to the position/configuration of the system 6. Explain the difference between work and energy.