Phys 1433 Lab 22 Pendilum

5A = Material point of mass m moves under the influence of force F-kr = –krî With in other words, the mass m is at the tip of an isotropic harmonic oscillator with equilibrium position at the origin of the axes. a) Calculate the potential energy V(r) of m. b) To design qualitatively 1) the potential energy V(r) of the mass m, 2) its "centrifugal" dynamic energy (r) = 1² /2mr² where L is the measure of angular momentum of the mass m and r its distance from the origin of the axes, and 3) the active potential energy of U(r) = V (r)+ Vä(r). "

The mass on the end of a pendulum is 0.04 kg and hangs from a string of length 1.2 m. The pendulum is raised to point Q, which is 0.10 m above its lowest position, and released so that it oscillates between the points P and Q as shown below. a) Calculate the speed v of the bob at its lowest position. b) Calculate the tension in the string when the bob is passing through its lowest position.

1. Refer and use figure 1 and 2. Calculate the magnitude of force needed to displace the block by 12.0 cm. What is the maximum kinetic energy this object can attain? What is its maximum potential energy? What is the amplitude? Where you would find the maximum and minimum potential and kinetic energies? If the angular frequency is 10.0 rad-sec¹, calculate the mass of the object. Force (N) 6.00 5.00 4.00 3.00 2.00 1.00 0.00 0.00 Figure 1: Hooke's Constant Plot 1.00 3.00 Displacement (cm) 2.00 4.00 5.00

A 3 kg object connected to a light spring with a spring constant of 120 N/m oscillates on a frictionless horizontal surface. a) Calculate the kinetic energy of the object when the speed is 0.5 m/s? b) Calculate the spring potential energy (or elastic potential energy) when the object is at the position 3 cm.

a) Write down the amplitude of this oscillator b) Draw another plot for an ocillator having the same frequency but double the amplitude. c) Draw another plot for an oscillator having the same amplitude but double the time period.

Take a spring and cut it in half to make two springs. Is the spring constant of these smaller springs larger than, smaller than, or the same as the spring constant of the original spring? Explain.

PHYSICAL SCIENCE  Any simple pendulum can be described by the relationship between the pendulum’s period of oscillation, the length of the pendulum, and the gravitational acceleration. This relationship is given by the equation where T is the time in seconds for one cycle, L is the length of the pendulum from the pivot point to the center of mass of the bob, and g is the acceleration from gravity. Notice that there is no mass variable in this equation, meaning that mass has no effect on the motion of a pendulum. We can measure the period of the pendulum with a stopwatch, we can also measure the length of the pendulum. If we then solve the equation for g, we can determine the gravitational acceleration using a simple pendulum. Taking the equation above we can divide both sides of the equation by 2π which then gives, we can then square both sides of the equation to get rid of the radical, which gives us, we can then use the reciprocal rule to invert both sides of the equation which…

a. What is the translational velocity of the bottom tip of the pendulum at the moment that gravitational potential energy is 50% of its maximum? b. What effect would doubling the mass and length of the physical pendulum have on the answer to part (a) of the problem? c. Draw graphs of angular acceleration, tangential translational acceleration, and centripetal acceleration as functions of the instantaneous angle that the pendulum makes with the vertical. In all three graphs show the behavior of the acceleration from release with theta =38.4 degree until the pendulum is vertical and theta =0 degree.

A 2.4m uniform rod with a mass of 0.8kg acts as a physical pendulum. The rod is attached to a 3kg block a. What is the total inertia of the rod and the block? b. What is the period of this pendulum?

If one oscillation has 6.5 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes? Express your answer using two significant figures.       A high energy/A low energy =

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University of Technology an Tn Experiment 6: Simple Pe X A https://moodle.nct.edu.om/mod/quiz/attempt.php?attempt3D713034&cmid%3D76215 e-Services Academic Departments ETC - arning Portal Reports Courses - (Please Note: Trial 1 and Trial 2 values are given for 20 oscillations) Table 1: Calculation of acceleration due to gravity (keeping mass and amplitude constant) Pendulum Square of Trial Trial Time Period Mean L/T2 length 1 2 Time period (s) T (s) (m/s) L (cm) (s) (s) T? (s²) 50 28.4 28.3 55 29.7 29.9 60 31.1 31.0 65 32.3 32.4 70 33.6 33.5 Mean value of Calculated value of L/T? g (m/s) (m/s²) to search

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2010Q1: Please answer all parts in specific detail and explain each step with reasoning

Show the following in your answer: A. Given Quantities B. Unknown Quantity/Quantities C. Complete solution with relevant equations D. Round off final answer to 2 decimal places E. Box final answer and express it in the correct unit A particle is attached to a spring that creates a vibration with a frequency of 8 Hz. Determine the period of vibrations and the angular frequency. (6 pts)

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A "seconds pendulum" is one that moves through its equilibrium position once each second. (The period of the pendulum is precisely 2.000 s.) The length of a seconds pendulum is 0.9920 m at Tokyo and 0.9948 m at Cambridge, England. What is the ratio of the free-fall accelerations at these two locations? (g Cambridge / g Tokyo) =

A student releases the 2.5kg bob of a 1.88m long pendulum from the position shown. Neglect loss. What is the pendulum's height (h) above its lowest point? unit What is the pendulum's maximum speed during the swing? 24° unit What is the tension in the string at the lowest point? unit

A pendulum is swinging back and forth. The angle A that the pendulum's string makes with the vertical line can be modelled by the function 0(t) = 0.15 cos(6t) a. Determine the maximum angular speed of the pendulum? When does it happen in its first oscillation? b. What is the maximum acceleration of the pendulum? When does it happen in its first oscillation?

The bob of a simple pendulum is gently pulled to one side in such a manner that the string remains straight. The bob is released from rest at elevation that is h greater than the bob's an lowest possible position. The bob has mass m. The pendulum is at the surface of Subsequent to the release of the bob, what is the kinetic energy of the pendulum when the bob is at its lowest point? the planet earth. A. mgh B. zero c. 2mgh D. ½ mgh

A simple harmonic oscillator (SHO) with a mass of 47 kg has a total energy of 3394 J. Determine how fast the SHO is moving when its potential energy is 3 times its kinetic energy. Express your answer using appropriate mks units. v=