2. Dr. Benton has long thought that OSU should install a Foucault (simple) pendulum in theatrium of the Nobel Research Center. Let us consider how such a pendulum might function.Assume that the pendulum bob had a mass of 22 kg and was suspended from a thin 12 m longchord. Also, assume that the circular area over which the pendulum would swing was 4.9 m².Determine a) the period of the pendulum, and b) the maximum velocity of the pendulum bob.

Answered: Image /qna-images/answer/c27a028e-1282-4b67-bc31-1c9cd939b04f.jpg

Answered: 2. Dr. Benton has long thought that OSU…

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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A block of mass 1.80 kg is attached to an ideal spring with spring constant 340 N/m, and it oscillates on a frictionless surface. As it passes through its equilibrium position (spring is neither stretched or compressed), it’s moving at 12.0 m/s. Part A. What is the amplitude of the block's oscillation? Part B. What is the maximum acceleration of the block during its osciation?
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?
Problem 2: A block attached to a spring with unknown spring constant oscillates with a period of 3.3 s. Parts A to D are independent questions, each referring to the initial situation. a) What is the period if the mass is doubled? b) What is the period if the mass is halved? c) What is the period if the amplitude is doubled? d) What is the period if the spring constant is doubled? Answers: a) 4.7 s; b) 2.3 s; c) 3.3 s; d) 2.3 s
6. A very light rigid rod of length 0.500 m extends straight out from one end of a meterstick. The combination is suspended from a pivot at the upper end of the rod as shown in Figure A1.5. The combination is then pulled out by a small angle and released. (a) Determine the period of oscillation of the system. (b) By what percentage does the period differ from the period of a simple pendulum 1.00 m long? 0.500 m Figure A1.5
3. A simple harmonic oscillator consists of a block attached to a spring with k = 200 N/m. The block slides on a frictionless surface, with equilibrium point x = 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown. The horizontal scale is set by t, = 0.20 s.What v (m/s) t (s) are -2n the period of the SHM the block's mass а. b. it's displacement at t = 0 it's acceleration at t = 0.10 s, and it's maximum kinetic energy? С. d. е.
1. Free undamped motion. A force of 100 newtons stretches a spring 2 meters. A mass of 2 kg is attached to the end of the spring and is released from a point 25 cm below equilibrium with an upward velocity of 1 m/sec. Find the equation of motion of the mass along with the period, amplitude, and frequency. 2. Free damped motion. A 4 kilogram mass is attached to a spring whose constant is k=17 N/m. The medium through which the mass moves offers a damping force numerically equal to 4 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 1 m/sec fonm the ceiling and comes
This is one question but it has two parts 1. A mass-spring system oscillates with an amplitude of 4.5 cm. The spring constant is 268 N/m and the mass is 0.358 kg. A) calculate the mechanical energy of the mass-spring system. B) calculate the maximum acceleration mass-spring system. Answer in units of m/s^2
A simple pendulum is 80.0 cm long. The motion is started at 20.0 cm from center position for trial 1; 15.0 cm for trial 2; and 10 cm for trial 3. For trial 1, the time taken for ten vibrations (or cycles) is 18.0 s.
A 50-cm-long spring is suspended from the ceiling. A 250 g mass is connected to the end and held at rest with the spring unstretched. The mass is released and falls, stretching the spring by 20 cm before coming to rest at its lowest point. It then continues to oscillate vertically. a. What is the spring constant?b. What is the amplitude of the oscillation? c. What is the frequency of the oscillation?
4. After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 49.0 cm . The explorer finds that the pendulum completes 90.0 full swing cycles in a time of 145s. What is the magnitude of the gravitational acceleration on this planet?
5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz. W -3-2-1 0 1 2 3 + d b. At time t = 0, the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.
Q2.A physical pendulum consists of a ring of radius 0.5 m and mass 2 kg. The ring is pivoted at a point on its perimeter. The ring is pulled out such that its centre of mass makes a small initial angle ?0 = 0.2 rad from the vertical and released from rest. (C) Calculate the angular frequency of the oscillation of the ring (D) Calculate the period of the oscillation of the ring

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