Physics Laboratory Manual
4th Edition
ISBN: 9781133950639
Author: David Loyd
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12A, Problem 3PLA
The mass m shown in Figure 12A-1 oscillates on a spring of spring constant k with amplitude A about the equilibrium position yo between the points y = yo+ A and y = yo ‒ A. Choose the correct statements about the kinetic energy K, the spring potential energy US, and the gravitational potential energy UG for this motion (Questions 1-4).
3. The kinetic energy K is (a) maximum at y = yo ‒ A. (b) maximum at y = yo + A. (c) maximum at y = yo. (d) zero at y = yo.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
If you substitute the expressions for ω1 and ω2 into Equation 9.1 and use the trigonometric identities cos(a+b) = cos(a)cos(b) - sin(a)sin(b) and cos(a-b) = cos(a)cos(b) + sin(a)sin(b), you can derive Equation 9.4.
How does equation 9.4 differ from the equation of a simple harmonic oscillator? (see attached image)
Group of answer choices
A. The amplitude, Amod, is twice the amplitude of the simple harmonic oscillator, A.
B. The amplitude is time dependent
C. The oscillatory behavior is a function of the amplitude, A instead of the period, T.
D. It does not differ from a simple harmonic oscillator.
A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance r from the axle, . (a) Assuming that the wheel is a hoop of mass m and radius R, what is the angular frequency v of small oscillations of this system in terms of m, R, r, and the spring constant k? What is v if (b) r = R and (c) r = 0?
Show,by integration that the moment of inertia of a uniform thin rod AB of mass 3m and length 4a about an axis through one end and perpendicular to the plane of the rod, is 16ma2
The rod is free to rotate in a vertical plane about a smooth horizontal axis through its end A
Find
i)The raduis of gyration of the rod about an axis through A
ii)The period of small oscillations of the rod about its position of stable equilibrum
Chapter 12A Solutions
Physics Laboratory Manual
Ch. 12A - Prob. 1PLACh. 12A - The mass m shown in Figure 12A-1 oscillates on a...Ch. 12A - The mass m shown in Figure 12A-1 oscillates on a...Ch. 12A - The mass m shown in Figure 12A-1 oscillates on a...Ch. 12A - A spring has a spring constant of k = 7.50 N/m. If...Ch. 12A - A spring of spring constant k = 8.25 N/m is...Ch. 12A - A mass of 0.400 kg is raised by a vertical...
Knowledge Booster
Learn more about
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
- A ball attached to a spring is raised 2 feet and released with an initial vertical velocity of 3 feet per second. The distance of the ball from its rest position after t seconds is given by d = 2 cos t + 3 sin t. Show that 2 cos t + 3 sin t = √13 cos(t - θ),where θ lies in quadrant I and tanθ =( 3/2). Use the identity to find the amplitude and the period of the ball’s motion.arrow_forwardA block of mass m = 2 kg is attached a spring of force constant k = 500 N/m as shown in the figure below.The block is initially at the equilibrium point at x = 0 m where the spring is at its natural length. Then theblock is set into a simple harmonic oscillation with an initial velocity 2.5 m/s at x = 0 cm towards right. Thehorizontal surface is frictionless. a) What is the period of block’s oscillation? b) Find the amplitude A of the oscillation, which is the farthest length spring is stretched to. c) Please represent block’s motion with the displacement vs. time function x(t) and draw the motion graphx(t) for at least one periodic cycle. Note, please mark the amplitude and period in the motion graph.Assume the clock starts from when the block is just released. d) Please find out the block’s acceleration when it is at position x = 5cm. e) On the motion graph you draw for part c), please mark with diamonds ♦ where the kinetic energy of theblock is totally transferred to the spring…arrow_forwardA physical pendulum consists of a disk of radius R = 2 m, whose mass is homogeneously distributed and is equal to 6 kg, is suspended just at a point on its perimeter. The puck is displaced from its equilibrium position. until it forms an angle θ = π/16 with respect to the vertical and is then released. find: a) The period of the system. b) Make a graph of angular position v/s time where the amplitude, initial phase and system period.arrow_forward
- A pendulum has length 94 centimeters and bob mass 700 grams and is dropped from an angle of 31 degrees from the vertical. a. Using the law of conservation of mechanical energy and considering only kinetic energy and gravitational potential energy, what is the maximum speed of the bob? Include units in your answer. b. We can treat the pendulum as a mass on a spring on a horizontal surface with an effective spring constant of (w/L), oscillating back and forth with an amplitude equal to the maximum horizontal distance from the equilibrium position. Using the law of conservation of mechanical energy and considering only kinetic energy and elastic potential energy, what is the maximum speed of the bob? Include units in your answer. PLEASE ANSWER IN HANDWRITING THANKS!!!arrow_forwardA pendulum has length 94 centimeters and bob mass 700 grams and is dropped from an angle of 31 degrees from the vertical. a. Using the law of conservation of mechanical energy and considering only kinetic energy and gravitational potential energy, what is the maximum speed of the bob? Include units in your answer. b. We can treat the pendulum as a mass on a spring on a horizontal surface with an effective spring constant of (w/L), oscillating back and forth with an amplitude equal to the maximum horizontal distance from the equilibrium position. Using the law of conservation of mechanical energy and considering only kinetic energy and elastic potential energy, what is the maximum speed of the bob? Include units in your answer. PLEASE ANSWER IN HANDWRITINGarrow_forwardNeed help with part A and B and C pls. Part C asks: If the angular displacement can be written as θ=Ae^(−γt)cosω′t, find how long it takes for the amplitude to be reduced to 1/2 of its original value.arrow_forward
- A pendulum has length 94 centimeters and bob mass 700 grams and is dropped from an angle of 31 degrees from the vertical. b. We can treat the pendulum as a mass on a spring on a horizontal surface with an effective spring constant of (w/L), oscillating back and forth with an amplitude equal to the maximum horizontal distance from the equilibrium position. Using the law of conservation of mechanical energy and considering only kinetic energy and elastic potential energy, what is the maximum speed of the bob? Include units in your answer. PLEASE ANSWER IN HANDWRITINGTHE SECOND PART OF THE ANSWER IS WRONG!!!! IT IS NOT 2.66 m/sarrow_forwardIn an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, θ''max, to the maximum angular velocity, θ'max, is π s^(-1). What is the time needed for the pendulum to complete two oscillations?arrow_forwardThe total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73arrow_forward
- C, N A uniform plank of length L and mass M is balanced on a fixed, semicircular bowl of radius R (Fig. P16.19). If the plank is tilted slightly from its equilibrium position and released, will it execute simple harmonic motion? If so, obtain the period of its oscillation.arrow_forwardAllow the motion in the preceding problem to take place in a resisting medium. After oscillating for 10 s, the maximum amplitude decreases to half the initial value. Calculate (a) the damping parameter β, (b) the frequency υ1 (compare with the undamped frequency υ0), and (c) the decrement of the motion.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY