Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 11, Problem 46SP
A particle vibrates according to the equation x = 20 cos 16t, where x is in centimeters. Find its amplitude, frequency, and position at exactly t = 0 s.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A 1.4 kg mass attached to a horizontal spring oscillates at a frequency of 2.54 Hz. At t =0 s, the mass is at x= 4.2 m and has vx =− 1.5 m/s. What is the amplitude (In meters)?
A 0.75 kg mass oscillates according to the equation x(t)=Acos(ωt). Here, A=0.67 m and ω=6.5 rad/s. What is the period, in seconds, of this mass?
In taking your pulse, you count 75 heartbeats in 1 min. What are the period (in s) and frequency (in Hz) of your heart’s oscillations?
Chapter 11 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 11 - 18. A small metal sphere weighing 10.0 N is hung...Ch. 11 - 19. How much energy is stored in a spring with an...Ch. 11 - 20. Given that a spring oscillates at a frequency...Ch. 11 - 21. If a reed is oscillating in SHM such that each...Ch. 11 - 22. A stretched wire vibrates in SHM such that...Ch. 11 - 23. A horizontal spring is set up like the one in...Ch. 11 - 24. A horizontal spring is set up like the one in...Ch. 11 - 25. A horizontal spring is set up like the one in...Ch. 11 - 26. For the system shown in Fig. 11-3, write an...Ch. 11 - Prob. 27SP
Ch. 11 - 28. What is the value of the temporal period of a...Ch. 11 - 11.29 [I] Assume a simple pendulum swings...Ch. 11 - 30. A pendulum is timed as it swings back and...Ch. 11 - 11.31 [II] A 300-g mass at the end of a Hookean...Ch. 11 - 32. A coiled Hookean spring is stretched 10 cm...Ch. 11 - 33. A 2.5-kg body undergoes SHM and makes exactly...Ch. 11 - 34. A 300-g object attached to the end of a spring...Ch. 11 - 35. A Hookean spring is stretched 20 cm when a...Ch. 11 - 36. A 300-g body fixed at the end of a spring...Ch. 11 - 37. With a 50-g mass at its end, a spring...Ch. 11 - 11.39 [II] A 500-g object is attached to the end...Ch. 11 - 11.40 [II] A popgun uses a spring for which N/cm....Ch. 11 - 11.41 [II] A cubical block on an air table...Ch. 11 - 42. Find the frequency of vibration on Mars for a...Ch. 11 - 43. A “seconds pendulum” beats seconds; that is,...Ch. 11 - 44. Show that the natural period of vertical...Ch. 11 - 45. A particle that is at the origin of...Ch. 11 - 46. A particle vibrates according to the equation...Ch. 11 - 47. A particle oscillates according to the...
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
- The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in radians and = 4.43 rad/s. Determine the period and length of the pendulum.arrow_forwardFor each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3arrow_forwardThe expression x = 8.50 cos (2.40 t + /2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the a. frequency, b. period, c. amplitude, and d. initial phase of the objects motion? e. What is the position of the particle at t = 1.45 s?arrow_forward
- The velocity of a particle performing S.H.M. is 3n cm/s when its displacement is V 12 cm. If the maximum acceleration of the particle is 9n ? cm/s?, find the frequency and amplitude of its oscillations.arrow_forwardA pendulum's angular position is given by 0 = 0.0300 cos(@t), where 0 is in radians and o = 8.48 rad/s. Find the period (in s) and length (in m) of the pendulum. period S lengtharrow_forwardIn an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e'max, to the maximum angular velocity, e'max. is Tt s^(-1). What is the time needed for the pendulum to complete one-half oscillation? O 0.5 sec 0.25 sec 4 sec 1 sec 2 secarrow_forward
- What positive value of x/A gives v= 0.56 v_max, where A is the amplitude of the motion?arrow_forwardO 0.15 sec In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete two oscillations? O 1 sec O 2 sec O 4 sec O 0.5 sec O 0.25 secarrow_forwardAn object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 8 centimeters, and then released. Write an equation for the distance d of the object from its rest position, after t seconds if the amplitude is 8 centimeters and the period is 6 seconds. The equation for the distance d of the object from its rest position is (Type an exact answer, using x as needed. Use integers or fractions for any numbers in the equation.) Enter your answer in the answer box. Save for Later 10:02 PM 4) 11/15/2020 Type here to search PgUp F11 PgDn F12 End Home F9 PrtScn DII F10 In F4 F5 F6 F7 F8 F1 F2 F3 2$ & 2 4. 5 6 7 8 E Y U P T R 3. W/arrow_forward
- A pendulum's angular position is given by ?= 0.0340 cos (?t), where ? is in radians and ? = 6.23 rad/s. Find the period (in s) and length (in m) of the pendulum.arrow_forwardIn an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete two oscillations? 4 sec 1 sec 0.5 sec 2 sec 0.25 secarrow_forwardIn an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, e'max, is tt s^(-1). What is the time needed for the pendulum to complete two oscillations? 4 sec 2 sec 1 sec 0.5 sec 0.25secarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher: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
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