UNIVERSITY PHYSICS UCI PKG
11th Edition
ISBN: 9781323575208
Author: YOUNG
Publisher: PEARSON C
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 14.53E
Two pendulums have the same dimensions (length L) and total mass (m). Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B, half the mass is in the ball and half is in the uniform bar. Find the period of each pendulum for small oscillations. Which one takes longer for a swing?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two pendulums have the same dimensions (length L) and total mass 1m2. Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B, half the mass is in the ball and half is in the uniform bar. Find the period of each pendulum for small oscillations. Which one takes longer for a swing?
Determine the conditions under which mechanical energy is conserved in a pendulum.
Consider a situation in which a pendulum made from a wooden sphere. The mass of the pendulum is 100 g and the length 1 m. If it is hanging on the ceiling of a room, it is made to oscillate. What, if anything, is the mechanical energy of the pendulum conserved?
Make the argument grounded in physics.
Two pendulums have the same dimensions (length L) and total mass (m). Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B, half the mass is in the ball and half is in the uniform bar.
Find the period of pendulum B for small oscillations.
Express your answer in terms of the variables L, m, and appropriate constants.
Chapter 14 Solutions
UNIVERSITY PHYSICS UCI PKG
Ch. 14.1 - A body like that shown in Fig. 14.2 oscillates...Ch. 14.2 - A glider is attached to a spring as shown in Fig....Ch. 14.3 - (a) To double the total energy for a mass-spring...Ch. 14.4 - A block attached to a hanging ideal spring...Ch. 14.5 - When a body oscillating on a horizontal spring...Ch. 14.6 - The center of gravity of a simple pendulum of mass...Ch. 14.7 - An airplane is flying in a straight line at a...Ch. 14.8 - When driven at a frequency near its natural...Ch. 14 - An object is moving with SHM of amplitude A on the...Ch. 14 - Think of several examples in everyday life of...
Ch. 14 - Does a tuning fork or similar tuning instrument...Ch. 14 - A box containing a pebble is attached to an ideal...Ch. 14 - If a uniform spring is cut in half, what is the...Ch. 14 - A glider is attached to a fixed ideal spring and...Ch. 14 - Two identical gliders on an air track are...Ch. 14 - You are captured by Martians, taken into their...Ch. 14 - The system shown in Fig. 14.17 is mounted in an...Ch. 14 - If a pendulum has a period of 2.5 s on earth, what...Ch. 14 - A simple pendulum is mounted in an elevator. What...Ch. 14 - What should you do to the length of the string of...Ch. 14 - If a pendulum clock is taken to a mountaintop,...Ch. 14 - When the amplitude of a simple pendulum increases,...Ch. 14 - Prob. 14.15DQCh. 14 - At what point in the motion of a simple pendulum...Ch. 14 - Could a standard of time be based on the period of...Ch. 14 - For a simple pendulum, clearly distinguish between...Ch. 14 - In designing structures in an earthquake-prone...Ch. 14 - BIO (a) Music. When a person sings, his or her...Ch. 14 - If an object on a horizontal, frictionless surface...Ch. 14 - The tip of a tuning fork goes through 440 complete...Ch. 14 - The displacement of an oscillating object as a...Ch. 14 - A machine part is undergoing SUM with a frequency...Ch. 14 - BIO The wings of the blue-throated hummingbird...Ch. 14 - A 2.40-kg ball is attached to an unknown spring...Ch. 14 - In a physics lab, you attach a 0.200-kg air-track...Ch. 14 - When a body of unknown mass is attached to an...Ch. 14 - When a 0.750-kg mass oscillates on an ideal...Ch. 14 - An object is undergoing SHM with period 0.900 s...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A 2.00-kg. frictionless block is attached to an...Ch. 14 - Repeat Exercise 14.13, but assume that at t = 0...Ch. 14 - The point of the needle of a sewing machine moves...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - BIO Weighing Astronauts. This procedure has been...Ch. 14 - A 0.400-kg object undergoing SHM has ax = 1.80...Ch. 14 - On a frictionless, horizontal air track, a glider...Ch. 14 - A 0.500-kg mass on a spring has velocity as a...Ch. 14 - A 1.50-kg mass on a spring has displacement as a...Ch. 14 - BIO Weighing a Virus. In February 2004, scientists...Ch. 14 - CALC Jerk. A guitar string vibrates at a frequency...Ch. 14 - For the oscillating object in Fig. E14.4, what are...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A 0.150-kg toy is undergoing SHM on the end of a...Ch. 14 - A harmonic oscillator has angular frequency and...Ch. 14 - A 0.500-kg glider, attached to the end of an ideal...Ch. 14 - A cheerleader waves her pom-pom in SHM with an...Ch. 14 - CP For the situation described in part (a) of...Ch. 14 - A block with mass m = 0.300 kg is attached to one...Ch. 14 - You are watching an object that is moving in SHM....Ch. 14 - A 2.00-kg frictionless block is attached to an...Ch. 14 - A 2.00-kg frictionless block attached to an ideal...Ch. 14 - A mass is oscillating with amplitude A at the end...Ch. 14 - A 175-g glider on a horizontal, frictionless air...Ch. 14 - A proud deep-sea fisherman hangs a 65.0-kg fish...Ch. 14 - A thrill-seeking cat with mass 4.00 kg is attached...Ch. 14 - A uniform, solid metal disk of mass 6.50 kg and...Ch. 14 - A certain alarm clock ticks four times each...Ch. 14 - A thin metal disk with mass 2.00 103 kg and...Ch. 14 - You want to find the moment of inertia of a...Ch. 14 - CALC The balance wheel of a watch vibrates with an...Ch. 14 - You pull a simple pendulum 0.240 m long to the...Ch. 14 - An 85.0-kg mountain climber plans to swing down,...Ch. 14 - A building in San Francisco has light fixtures...Ch. 14 - A Pendulum on Mars. A certain simple pendulum has...Ch. 14 - After landing on an unfamiliar planet, a space...Ch. 14 - In the laboratory, a student studies a pendulum by...Ch. 14 - A simple pendulum 2.00 m long swings through a...Ch. 14 - A small sphere with mass m is attached to a...Ch. 14 - Two pendulums have the same dimensions (length L)...Ch. 14 - We want to hang a thin hoop on a horizontal nail...Ch. 14 - A 1.80-kg connecting rod from a car engine is...Ch. 14 - Prob. 14.56ECh. 14 - The two pendulums shown in Fig. E14.57 each...Ch. 14 - CP A holiday ornament in the shape of a hollow...Ch. 14 - A 1.35-kg object is attached to a horizontal...Ch. 14 - A 50.0-g hard-boiled egg moves on the end of a...Ch. 14 - An unhappy 0.300-kg rodent, moving on the end of a...Ch. 14 - A mass is vibrating at the end of a spring of...Ch. 14 - A sinusoidally varying driving force is applied to...Ch. 14 - An object is undergoing SHM with period 0.300 s...Ch. 14 - An object is undergoing SHM with period 1.200 s...Ch. 14 - Four passengers with combined mass 250 kg compress...Ch. 14 - At the end of a ride at a winter-theme amusement...Ch. 14 - CP A block with mass M rests on a frictionless...Ch. 14 - A 1.50-kg, horizontal, uniform tray is attached to...Ch. 14 - CP A 10.0-kg mass is traveling to the right with a...Ch. 14 - An apple weighs 1.00 N. When you hang it from the...Ch. 14 - CP SHM of a Floating Object. An object with height...Ch. 14 - CP A square object of mass m is constructed of...Ch. 14 - An object with mass 0.200 kg is acted on by an...Ch. 14 - CALC A 2.00-kg bucket containing 10.0 kg of water...Ch. 14 - A uniform beam is suspended horizontally by two...Ch. 14 - A 5.00-kg partridge is suspended from a pear tree...Ch. 14 - A 0.0200-kg bolt moves with SHM that has an...Ch. 14 - CP SHM of a Butchers Scale. A spring of negligible...Ch. 14 - A 40.0-N force stretches a vertical spring 0.250...Ch. 14 - Dont Miss the Boat. While on a visit to Minnesota...Ch. 14 - CP An interesting, though highly impractical...Ch. 14 - CP A rifle bullet with mass 8.00 g and initial...Ch. 14 - CP Two uniform solid spheres, each with mass M =...Ch. 14 - CP In Fig. P14.85 the upper ball is released from...Ch. 14 - The Silently Ringing Bell. A large, 34.0-kg bell...Ch. 14 - CALC A slender, uniform, metal rod with mass M is...Ch. 14 - Two identical thin rods, each with mass m and...Ch. 14 - DATA A mass m is attached to a spring of force...Ch. 14 - DATA You hang various masses m from the end of a...Ch. 14 - DATA Experimenting with pendulums, you attach a...Ch. 14 - The Effective Force Constant of Two Springs. Two...Ch. 14 - CALC A Spring with Mass. The preceding problems in...Ch. 14 - BIO SEEING SURFACES AT THE NANOSCALE. One...Ch. 14 - In the model of Problem 14.94, what is the...Ch. 14 - By what percentage does the frequency of...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Particles of light have no mass. Does the Sun’s mass change as a result of all the light it emits? Explain.
Modern Physics
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
74. What reverses with reverse osmosis?
Conceptual Physical Science (6th Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
What current flows when a 45-V potential difference is imposed across a 1.8-k resistor?
Essential University Physics (3rd Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
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
- In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.arrow_forwardA grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system?arrow_forwardA particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.arrow_forward
- The 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_forwardWe do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.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_forward
- If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion? (a) It doubles. (b) It becomes 2 times as large. (c) It becomes half as large. (d) It becomes 1/2 times as large. (e) It remains the same.arrow_forwardA simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.arrow_forwardWhich of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.arrow_forward
- The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?arrow_forwardAn object of mass m on a spring of stiffness k oscillates with an amplitude A about its equilibrium position. Suppose that m = 300 g, k = 10 N/m, and A = 10 cm. (a) Find the total energy. (b) Find the mechanical frequency of vibration of the mass. (c) Calculate the change in amplitude when the system loses one quantum of energy.arrow_forwardA block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 30.0 cm/s. Calculate (a) the mass of the block, (b) the period of the motion, and (c) the maximum acceleration of the block.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
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
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher: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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY