Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12, Problem 27P
To determine
The moment of inertia of the pendulum about the pivot point.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A small ball of mass 0.90 kg is attached to one end of a 1.20-m-long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 23° from the vertical, what is the magnitude of the torque about the pivot?
Please asap
A small ball of mass 1.5 kg is attached to one end of a 2.00-m-long massless rod, and the other end of the rod is hung from a pivot.
When the resulting pendulum is 32° from the vertical, what is the magnitude of the torque about the pivot?
Chapter 12 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 12.1 - A block on the end of a spring is pulled to...Ch. 12.2 - Consider a graphical representation (Fig. 12.3) of...Ch. 12.2 - Figure 12.4 shows two curves representing...Ch. 12.2 - An object of mass m is hung from a spring and set...Ch. 12.4 - A grandfather clock depends on the period of a...Ch. 12.5 - Prob. 12.6QQCh. 12 - Which of the following statements is not true...Ch. 12 - Prob. 2OQCh. 12 - Prob. 3OQCh. 12 - Prob. 4OQ
Ch. 12 - Prob. 5OQCh. 12 - Prob. 6OQCh. 12 - If a simple pendulum oscillates with small...Ch. 12 - Prob. 8OQCh. 12 - Prob. 9OQCh. 12 - Prob. 10OQCh. 12 - Prob. 11OQCh. 12 - Prob. 12OQCh. 12 - Prob. 13OQCh. 12 - You attach a block to the bottom end of a spring...Ch. 12 - Prob. 15OQCh. 12 - Prob. 1CQCh. 12 - The equations listed in Table 2.2 give position as...Ch. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - The mechanical energy of an undamped blockspring...Ch. 12 - Prob. 8CQCh. 12 - Prob. 9CQCh. 12 - Prob. 10CQCh. 12 - Prob. 11CQCh. 12 - Prob. 12CQCh. 12 - Consider the simplified single-piston engine in...Ch. 12 - A 0.60-kg block attached to a spring with force...Ch. 12 - When a 4.25-kg object is placed on top of a...Ch. 12 - The position of a particle is given by the...Ch. 12 - You attach an object to the bottom end of a...Ch. 12 - A 7.00-kg object is hung from the bottom end of a...Ch. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - A 1.00-kg glider attached to a spring with a force...Ch. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - A 500-kg object attached to a spring with a force...Ch. 12 - In an engine, a piston oscillates with simple...Ch. 12 - A vibration sensor, used in testing a washing...Ch. 12 - A blockspring system oscillates with an amplitude...Ch. 12 - A block of unknown mass is attached to a spring...Ch. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - A 200-g block is attached to a horizontal spring...Ch. 12 - A 50.0-g object connected to a spring with a force...Ch. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - The angular position of a pendulum is represented...Ch. 12 - A small object is attached to the end of a string...Ch. 12 - A very light rigid rod of length 0.500 m extends...Ch. 12 - A particle of mass m slides without friction...Ch. 12 - Review. A simple pendulum is 5.00 m long. What is...Ch. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Show that the time rate of change of mechanical...Ch. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 43PCh. 12 - Prob. 44PCh. 12 - Four people, each with a mass of 72.4 kg, are in a...Ch. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - Prob. 55PCh. 12 - A block of mass m is connected to two springs of...Ch. 12 - Review. One end of a light spring with force...Ch. 12 - Prob. 58PCh. 12 - A small ball of mass M is attached to the end of a...Ch. 12 - Prob. 60PCh. 12 - Prob. 61PCh. 12 - Prob. 62PCh. 12 - Prob. 63PCh. 12 - A smaller disk of radius r and mass m is attached...Ch. 12 - A pendulum of length L and mass M has a spring of...Ch. 12 - Consider the damped oscillator illustrated in...Ch. 12 - An object of mass m1 = 9.00 kg is in equilibrium...Ch. 12 - Prob. 68PCh. 12 - A block of mass M is connected to a spring of mass...
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 simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with length L=1.1 m. The bob is set into motion and its angular displacement is given by @ (t) - 0.11сos (wt). where eis in radians and in seconds. Take g=9.8 m / s ^ 2. determine the mechanical energy of this pendulum.arrow_forwardA small ball of mass 0.5 kg is attached to one end of a 1.8-m-long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 40◦ from the vertical, what is the magnitude of thegravitational torque calculated about the pivot?arrow_forwardA simple pendulum is made of a 50 cm-string and a bob of mass m. At t =0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.1 m/s. The maximum angular speed, e'max, is. 0.8 rad/s O04rad/s 0.05 rad/s 0.2 rad/s O 01 rad/sarrow_forward
- Physical Pendulum (Cylinder) Below are the dimensions of a cylinder attached to a massless string (10cm): r = 0.01 m l = 0.2 m m = 0.1000 kg 1.) Find the moment of inertia if the axis of rotation passes through half of the cylinder's length. HINT: Use Icm = (1/12)ml² + (1/4)mr² 2.) Calculate the moment of inertia when the axis of rotation is moved by a distance x. HINT: Use I = Icm + mx²; where x is equals to the length of string plus 1/2 the length of the cylinder. 3.) Calculate the period of oscillation of the physical pendulum using the equation T = 2pi × sqrt(I/mgd).arrow_forwardA pendulum consists of a small mass m at the end of a string of length L. The pendulum is pulled aside to an angle θ with the vertical and released. At the instant of release, using the suspension point as an axis, find the torque on the pendulum and its angular acceleration.arrow_forwardA simple pendulum is made of a 2 m- string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, e'max, is: 0.1 rad/s 0.2 rad/s 0.4 rad/s O 0.05 rad/s O 0.8 rad/s Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency of oscilation of a simple pendulum in that place farrow_forward
- A ball of radius R=25cm and mass M=0.43kg is compressed against a spring of spring constant k=316N/m by an amount x=49.7cm measured from the equilibrium of the spring as shown in the figure below. The system is released from rest and when the spring reaches its equilibrium position the ball loses contact with the spring. Assume the ball rolls without slipping along the 0=29° incline after it is released. Find the translational speed of the ball after it travels d= 70.4cm from the point of losing contact with the spring. Isphere =2/5 MR. Take g=9.8 m/s2 and express your answer using two decimal places. d MR wwwarrow_forwardA compound pendulum pivoted at O consists of a hollow-disk of radius R-40 +2da em with a hole of radius 20 cm and a thin rod (1.2 kg, total length = 30 cm) atached on the top. Given the mas density of the hollow disk is 4 kg'm'. 60 cm 20 cm 30 cm 40 cm R-40 + 2-di cm (a) Find the rotational inertia / of the compound pendulum at an axis passing through the plane of paper and the pivot O. (b) Find the distance hm of the center of mass of the compound pendulum from pivot O. (c) Find the angular frequency e (d) Find the period 7.arrow_forwardQuestion 4arrow_forward
- 10. 3.00 [kg] 1.50 [m] compresses a spring (k 500. [N/m]) by 0.400 [m]. After releasing the shell from rest, it rolls without slipping along the floor and up a sur- face inclined at an angle 0 = 30.0°, as shown in the figure. What is the angular speed of the shell when it 2.00 [m] from the base of the in- A thin spherical shell of mass M = Ax- 0.400m and radius R %| e- 30.0° reaches a distance L %3D cline? (I = }mr²) A. 1.37 [rad/s] B. 1.88 [rad/s] C. 2.01 [rad/s] D. 3.54 [rad/s]arrow_forwardA thin rod of mass m = 3 kg and length L = 0.5 m is attached at one end to a hinge on a wall. It is supported so that it lies horizontally and is then released and swings down. What is the angular acceleration of the rod when it is first released?arrow_forwardThe masses 'm' are directly connected to one another by two parallel and identical close coiled springs, one on either side. In the position shown in figure below, with the mass arms parallel to the axis of rotation, the equilibrium speed is 800 r.p.m. Given ball circle radius – 70 mm; length of ball arm = 85 mm and length of sleeve arm = 50 mm. 1. When the speed is increased by 4% without any change of radius for the given position, an axial force of 30 N is required at the sleeve to maintain equilibrium. Determine the mass of cach ball.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
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
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY