**50. A small object oscillatesback and forth at the bottomHemisphericalbowlof a frictionless hemisphericalbowl, as the drawing illustrates.The radius of the bowl is R. andthe angle 0 is small enough thatthe object oscillates in simpleharmonic motion. Derive anexpression for the angularfrequency w of the motion. Express your answer in terms of R and g, themagnitude of the acceleration due to gravity.

Given data: The radius of the bowl =R Angle =θ

Answered: **50. A small object oscillates back…

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)...

See similar textbooks

Similar questions

Any object moving with a specified angular velocity is known to be an object that moves in simple harmonic motion. The displacement (d) of an object moving in simple harmonic motion is described by the function d = R sin(wt) such that d is the radius of the rotating object, w is the angular velocity of the rotating object. The moon is a satellite that rotates around Earth with a nearly circular elliptic orbit. With this orbit, the approximate distance of the moon from the Earth is 385,000 km rotating at 14,091.21 km per hour. Using this information, sketch a graph of the moon's orbit around Earth and the a. domain and range: b. amplitude: с. period: d. interval:
Can you please help with d and e
A 50-cmcm-long spring is suspended from the ceiling. A 250 gg 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 cmcm before coming to rest at its lowest point. It then continues to oscillate vertically. Part A: What is the spring constant? Part B: What is the amplitude of the oscillation? Part C: What is the frequency of the oscillation?
A point rotates about the origin in the xy plane at a constant radius of 0.259 m with an angular velocity of 9.18 rad/s. The projection of this point's motion on the x- or y-axis is simple harmonic. What is the amplitude of the projected simple harmonic motion? What is the projected motion's frequency? What is the projected motion's period? m Hz S
SHMQ6
A sewing machine needle moves with a rapid oscillatory motion, essentially in simple harmonic motion, as it sews a seam. Suppose the needle moves 9.5 mm from its highest to its lowest position as it makes 36 stiches in 8.0 s. (a) What is the angular frequency, o, of the needle? (b) What is the maximum speed of the needle? (c) What is the magnitude of the maximum acceleration of the needle? (d) Include a diagram of the situation that indicates where the location of the maximum speed and acceleration are located in the motion of the needle. [
A simple harmonic oscillator consists of a block of mass 3.0 kg attached to a spring of spring constant 300 N/m. When t = 0.5 s, the block is at x = 0.1 m and its velocity v = 1.2 m/s. What is the angular frequency of the oscillation? What are the amplitude and phase constant of the oscillation, respectively? What were the position and velocity of the block at i = 0 s, respectively?
A sphere moves in simple harmonic motion with a frequency of 1.00 Hz and an amplitude of 4.90 cm. What is the maximum magnitude of acceleration (in m/s2) of the sphere? Where in the motion does the maximum acceleration occur?
MM12.. no handwritten...
A block whose mass m is 680 g is fastened to a spring whose spring constant k is 65 N/m. The block is pulled a distance x =11 cm from its equilibrium position at x =0 on a frictionless surface and released from rest at t =0. What is the angular frequency? O 1 rad/s O 10 rad/s O 97.8 rad/s 9.78 rad/s
Ignoring friction, what will be the angular position of the pendulum at t = 0.35 s? A simple pendulum is 0.44 m long. At t = 0 it is released from rest starting at an angle of 18°. Express your answer in degrees. ΑΣφ ? O0.35 Submit Request Answer Part B Ignoring friction, what will be the angular position of the pendulum at t = 3.45 s? Express your answer in degrees. ? O3.45 %D Submit Request Answer Part C Ignoring friction, what will be the angular position of the pendulum at t = 6.00 s?
could someone help with this question please

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS