MASTERINGPHYSICS W/ETEXT ACCESS CODE 6
13th Edition
ISBN: 9781269542661
Author: YOUNG
Publisher: PEARSON C
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 14.84P
CP Two uniform solid spheres, each with mass M = 0.800 kg and radius R = 0.0800 m, are connected by a short, light rod that is along a diameter of each sphere and are at rest on a horizontal tabletop. A spring with force constant k = 160 N/m has one end attached to the wall and the other end attached to a frictionless ring that passes over the rod at the center of mass of the spheres, which is midway between the centers of the two spheres. The spheres are each pulled the same distance from the wall, stretching the spring, and released. There is sufficient friction between the tabletop and the spheres for the spheres to roll without slipping as they move back and forth on the end of the spring. Show that the motion of the center of mass of the spheres is simple harmonic and calculate the period.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem 1: Two uniform solid spheres, each with mass M = 0.80-kg and radius R = 0.080-
m, are connected by a short, light rod that is along a diameter of each sphere and are at
rest on a horizontal tabletop. A spring with force constant k
160
N
has one end
m
attached to the wall and the other end attached to a frictionless ring that passes over the
rod at the center of mass of the spheres, which is midway between the centers of the two
spheres. The spheres are each pulled the same distance from the wall, stretching the
spring, and released. There is sufficient friction between the tabletop and the spheres for
the spheres to roll without slipping as the move back and forth on the end of the spring.
Show that the motion of the center of mass of the spheres is SHM and find the period.
Answer the question in full details, thank you very much, Answer on the correct significant figures:
A metal can containing condensed mushroom soup has a mass of m = 247 g, a height of h = 15.7 cm,and a diameter of D = 6.67 cm. Itis placed at rest on its side at the top of a L = 3.11 m-long incline thatis at an angle of Angle = 24.3 deg to the horizontal; the can is then released to roll down the incline, reachingthe bottom t = 1.53 s later. Assuming energy is conserved, calculate the moment of inertia of the can inkg-cm^2 (not kg-m^2).
A pendulum of length L = 1.0 meter and bob of mass m = 1.0 kg is released from rest at an angle θ = 30 degrees. When the pendulum reaches the vertical position, the bob strikes a cube with mass M = 3.0 kg that is resting on a frictionless table of height h = 0.85 m.
d. Determine how far away from the bottom edge of the table, Δx, the cube will strike the floor
e. At the location where the cube would have struck the floor, there is now a small cart of mass M = 3.0 kg and negligible height. The cube lands on the cart, and sticks to the cart in a completely *inelastic* collision. Ignore friction. Calculate the horizontal velocity of the cart just after the cube lands on it.
Chapter 14 Solutions
MASTERINGPHYSICS W/ETEXT ACCESS CODE 6
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
(a) What is the change in entropy if you start with 100 coins in the 45 heads and 55 tails macrostate, toss the...
College Physics
30. On a cold winter day, a penny (mass 2.50 g) and a nickel (mass 5.00 g) are lying on the smooth (frictionles...
College Physics (10th Edition)
37.27 A proton has momentum with magnitude p0 when its speed is 0.400c. In terms of p0, what is the magnitude o...
University Physics (14th Edition)
Could Venus ever have had oceans and, if so, could we find geological evidence that they existed? Explain.
Life in the Universe (4th Edition)
18. A projectile is launched upward at an angle of 75° from the horizontal and strikes the ground a certain dis...
Conceptual Physical Science (6th Edition)
4.(I) What is the mass of the diver in Fig. 9-49 if she exerts a torque of 1800m. N on the board, relative the ...
Physics: Principles with Applications
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
- As shown in Figure P8.20, a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod (not a string) of length , and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? Figure P8.20arrow_forwardA thin wire has mass m and length L. It is bent into a semicircular shape. The wire is placed in the x-y plane such that it is symmetrical across the x-axis, and the two end points of the wire are placed at x = 0. Write an expression for the center of mass XCM of the wire about the x-axis. The mass of the wire is 69 g and the length of the wire is 0.65 m. Determine the x-coordinate for the center of mass in meters.arrow_forwardA 5.00-kg block is moving at 5.00 m/s along a horizontal frictionless surface toward an ideal massless spring that is attached to a wall. After the block collides with the spring, it keeps moving rightwards until the spring reaches its maximum compression of 1.68 m. After reaching maximum compression, the block and spring come to rest momentarily, and then move leftwards. While it is moving to the left, what is the speed of the block when it has moved so that the spring is compressed to only one-half of the maximum distance?arrow_forward
- A arrow of mass 0.01 kg moving horizontal suddenly strikes a block of wood of mass 8.6 kg that is suspended by a light string, like a pendulum. The arrow passes through the wood, then the wood swings upward and momentarily stops when the string is horizontal. The length of the string is 2.0 cm. How long did it take the arrow to go through the wood if the friction force between the bullies and the wood is 100 N?arrow_forwardThe 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. What is the velocity of A just before it hits block B? And what is the length of the rope l, if angle alpha is 30 degreesarrow_forwardThe 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. Which of the following best approximates the value of height h? 0.255m 0.510 m 5.00 m 1.274 marrow_forward
- The 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. What is the velocity of A just before it hits block B? Choices:2.94 m/s11.25 m/s5.00 m/s3.44 m/sarrow_forwardA metal cannonball of mass m rests next to a tree at the very edge of a cliff 36.0 m above the surface of the ocean. In an effort to knock the cannonball off the cliff, some children tie one end of a rope around a stone of mass 80.0 kg and the other end to a tree limb just above the cannonball. They tighten the rope so that the stone just clears the ground and hangs next to the cannonball. The children manage to swing the stone back until it is held at rest 1.80 m above the ground. The children release the stone, which then swings down and makes a head-on, elastic collision with the cannonball, projecting it horizontally off the cliff. The cannonball lands in the ocean a horizontal distance R away from its initial position. (a) Find the horizontal component R of the cannonball’s displacement as it depends on m. (b) What is the maximum possible value for R, and (c) to what value of m does it correspond? (d) For the stone– cannonball–Earth system, is mechanical energy conserved…arrow_forward1. An inventor patents a "golf machine". It consists of a "golf club" which is really a pendulum of length L = 2 (m), with a massles string and a mass M = 30 (kg) on the end. By pulling back on the pendulum until the string makes an angle 0= 10° from the vertical, and then releasing it from rest, the golf club strikes the "golf ball" exactly horizontally. The golf ball is a mass m = 0.1 (kg) that rests on a platform which is h = 20 (cm) above the horizontal ground. Assume that all collisions are elastic and all masses are point masses. Finally you should ignore air resistance but gravity acts down as usual. L %3D M) m h How far does m travel horizontally (before it hits the ground)? |How long does it take from the time M is released from rest to the time it strikes m? [Hint: think pendulum]arrow_forward
- QIIII: A thin uniform rod of mass Mr and length L is suspended from the ceiling and mounted on a horizontal frictionless axle at the top. The rod is initially at rest in its equilibrium position when a ball of play dough, of mass mb, strikes the rod at its lower end and remains stuck to the rod. The sticky ball is thrown with an initial speed v0 at a 60 degree angle from the horizontal direction, and strikes the rod when it reaches the top of its trajectory, as shown in Fig.4. The acceleration due to gravity has magnitude g and air resistance is negligible. a. Determine the velocity of the ball of play dough right before it sticks to the rod. Use the x- y coordinate system defined in Fig.4. b. Determine the angular velocity of the rod+ball system right after the collision. Take counterclockwise as positive. c. - Establish the differential equation satisfied by the rod+ball system after the collision and determine the angular frequency of the system. You may assume that the small…arrow_forwardA thin rod of length L = 3.00 m with variable mass density (x) = 3.00x² kg/m lies on the x-axis with one end at the origin. Where on the %3D %3D X-axis is the center of mass of this rod? {note this is a variable mass density} O 2.50 m O 1.50 m O 2.25 m O 2.70 m O 1.88 m 吕0 000 DII F1 F2 F3 F4 F5 F 6 F7 F8 F9 # $4 & 4 7 Q E A D K 00 LLarrow_forwardThree solid, uniform boxes are aligned as in the figure below. Find the x- and y-coordinates (in m) of the center of mass of the three boxes, measured from the bottom left corner of box A. (Consider the three-box system.) HINT X cm y em || = Origin E E m 0.360 m A 0.750 kg 0.420 m B 1.00 kg 0.240 m с 0.650 kg 0.410 m Xarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
What is Torque? | Physics | Extraclass.com; Author: Extraclass Official;https://www.youtube.com/watch?v=zXxrAJld9mo;License: Standard YouTube License, CC-BY