Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Chapter 4, Problem 3EP
To determine
The dependence of the period of oscillation of the pendulum on the length of the pendulum, and the period of the pendulum when its length is doubled.
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A simple pendulum is constructed by placing a small ball of mass 0.38g at the end of string of length 1.41m. Supposing the string to be massless, what is the period (in seconds) of oscillation for small angular displacements? Note: In the space below, please enter you numerical answer. Do not enter any units. If you enter units, your answer will be marked as incorrect.
The figure shows a bar suspended from a pivot ? with a calibrated spring attaching the bar to the wall. The length of the bar is 0.970 ?, its mass is 0.775 ??, and the tension measured by the calibrated spring is 3.25 ?. Use the standard coordinate system with +? to the right and +? up the page. (a) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (b) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (c) Write the symbolic equation that represents equilibrium for the torques around point ?. Please use ? = 45.0 degrees, ? = 63.0 degrees, ? = 9.80 ?/? 2 , and calculate the horizontal and vertical components of the force the pivot exerts on the bar and the location of the center of mass of the bar, measured from the pivoted end.
The period of a clock pendulum T is given by the equation T = 2π√Lg where the constant L is thelength of the pendulum and g is the acceleration due to gravity. The period of the clock pendulumvaries slightly depending on where it is located on earth’s surface, due to small changes in g.(a) If g increases, will T increase or decrease? Does this correspond to the clock speeding up orslowing down? Explain your reasoning.(b) Find the linear approximation for T (g) centered at g = 980 cm/sec2, if the length of the pendulumis 400 cm.(c) When a clock with a 400 cm pendulum is moved from a location where g = 980 cm/sec2to anew location, its period increases by .001 sec. Estimate the amount by which g changes andapproximate the value of g at the new location.
Chapter 4 Solutions
Physics Laboratory Experiments
Ch. 4 - Scientists use models and theories to describe...Ch. 4 - Prob. 2EPCh. 4 - Prob. 3EPCh. 4 - The mass (m) of the pendulum bob may be varied....Ch. 4 - Check with one of your fellow students (or your...Ch. 4 - Describe what is meant by the scientific method...Ch. 4 - What are the physical parameters in the...Ch. 4 - Prob. 3ASACh. 4 - How does the period of a pendulum vary...Ch. 4 - How will you experimentally check the theoretical...
Ch. 4 - Prob. 6ASACh. 4 - How can the parabolic form y = ax2 be plotted as a...Ch. 4 - What is meant by damped harmonic motion, and what...Ch. 4 - It was suggested that you measure the time for...Ch. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Suppose in the damped equation had ek1t and ek2t,...Ch. 4 - Prob. 7Q
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Run 1, 2, and 3 are for different masses. Does the frequency, f, appear to depend on the mass used? Run 1 and 4 are for the same mass but with different amplitude. Does the frequency, f,appear to depend on the amplitude of the motion? Do you have enough data to draw a firm conclusionarrow_forwardHow do I derive the period for a swinging pendulum with a string of length L?arrow_forwardPlease help me answer this problem and thoroughly explain the formulas behind each step, especially those relating to the spring and equilibrium. Thank you!arrow_forward
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