A solid cylinder of mass 1.1 kg and radius 19 cm is yoked to a spring as shown. To be pre- cise, the axle of the cylinder is attached to a horizontal spring of force constant 719.7 N/m. The cylinder rolls back and forth on a hori- zontal base without slipping. For simplicity, assume that the spring, the axle and the yoke which connects them have negligible masses compared to the cylinder itself. 719.7 N/m oooo 1.1 kg What is the angular frequency of the cylin- der rolling back and forth around the equlib-

A solid cylinder of mass 1.1 kg and radius 19 cm is yoked to a spring as shown. To be pre- cise, the axle of the cylinder is attached to a horizontal spring of force constant 719.7 N/m. The cylinder rolls back and forth on a hori- zontal base without slipping. For simplicity, assume that the spring, the axle and the yoke which connects them have negligible masses compared to the cylinder itself. 719.7 N/m oooo 1.1 kg What is the angular frequency of the cylin- der rolling back and forth around the equlib-

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

Related questions

Q: For this question consider a spherical shell that has a radius R = 2.91 m, and a mass M = 0.85 kg. A…

Q: A wheel with moment of inertia, I = (3⁄4) mR2 of radius 0.50 m and a mass of 0.30 kg is released…

Q: 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…

A: Given Data Mass of the ball is m=1.5 kg Length of the rod is L=2.00 m Angle of the pendulum is θ=32°…

Q: The mass of a hoop of radius 1.2 m is 6.7 kg. It rolls without slipping across a horizontal surface…

A: A) As per the work-energy theorem. Here, ΔK with subscript T and R represents the change in the…

Q: pulley 3-stage spool +axde

Q: A uniform, solid sphere of radius 3.00 cm and mass 2.50 kg starts with a purely translational speed…

A: The law of conservation of energy,

Q: A solid sphere is released from height h from the top of an incline making an angle θwith the…

Q: A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 14.6 o. It momentarily…

A: Given data ϕ=14.60l=2.38 m

Q: Consider a solid sphere and a solid disk with the same radius and the same mass. Explain why the…

Q: In the system , a 145.0 kg mass is released from rest and falls, causing the uniform 10.0 kg…

Q: A 5.50-kilogram hoop starts from rest at a height 1.30 m above the base of an inclined plane and…

A: Givenm=5.5 kgh=1.3 m

Q: A ring (hollow cylinder) of mass 2.31kg, inner radius 7.80cm, and outer radius 9.25cm rolls (without…

Q: In the system , a 72.0 kg mass is released from rest and falls, causing the uniform 70.0 kg cylinder…

Q: The diagram below represents a thin rod of length L and mass m is attached to a solid disc of radius…

A: Given that: Mass of rod, MR=m=3.27 kgLength of rod, L=3.16 mMass of disc, Md=3m=3×3.27 =9.81…

Q: (a) A uniform solid disk rolls without slipping down an incline making an angle e with the…

A: (a) The net torque on disc Tnet = I*alpha = I*(a/R) Tweight = m*g*R*sin(theta) m*g*R*sinθ =…

Q: Three identical circular rings, each of mass m and radius r, are joined together to form a physical…

A: Mass of each ring=MRadius of each ring=r

Q: the acceleration of gravity.) a disk" (b) A uniform thin circular ring rolls without slipping down…

A: Newton's Second Law of motion According to Newton's Second Law of motion, the rate of change of…

Q: A pendulum consists of a rod of mass mrod 8.0 kg, length L = 1.2 m, and a small and dense object of…

Q: A hollow ball of mass Mand radius Ris released from rest at the top of a bumpy track. The starting…

A: Given; Mass of the ball is M Radius of the ball is R Initial height is H

Q: A uniform solid cylinder of mass 1kg and radius .25m rotates about a fixed vertical, frictionless…

Q: A metal can containing condensed mushroom soup has a mass of m = 247 g, a height of h = 15.7 cm, and…

Q: One of the wrenches in my toolbox has a mass of 0.25 kg, is 19 cmin length and has a center of mass…

Q: A solid disc and a ring, both of radius 10 cm are placed on a horizontal tablesimultaneously, with…

Q: solid cylinder is rolling along a horizontal surface. It has a speed of 4.50 m/sm/s when it comes to…

A: Given values:- Speed,(Vcm)=4.5 m/sec ----(1) Angle of inclination,(θ)=40 0 ----(2) Acceleration due…

Q: The force of T = 23 N is applied to the cord of negligible mass. Determine the angular velocity of…

A: Given, Tension in cord,T=23 N Mass of wheel,M=20 kg Radius of gyration,k=0.2 m Radius of wheel,R=0.4…

Q: A solid sphere of mass 2.36 kg and radius 0.660 m is rolling without slipping along a horizontal…

A: Given data The mass of the solid sphere is given as m = 2.36 kg. The radius of the sphere is given…

Q: A small solid marble of mass 0.1 kg and radius 0.04 m rolls without slipping along the loop-the-loop…

Q: 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…

Question

A solid cylinder of mass 1.1 kg and radius
19 cm is yoked to a spring as shown. To be pre-
cise, the axle of the cylinder is attached to a
horizontal spring of force constant 719.7 N/m.
The cylinder rolls back and forth on a hori-
zontal base without slipping. For simplicity,
assume that the spring, the axle and the yoke
which connects them have negligible masses
compared to the cylinder itself.
719.7 N/m
-0000
1.1 kg
What is the angular frequency of the cylin-
der rolling back and forth around the equlib-
rium position?
Answer in units of s-¹.
S

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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 the figure, two 6.20 kg blocks are connected by a massless string over a pulley of radius 2.40 cm and ro- tational inertia 7.40×10-4 kgcdotm?. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is relea- sed from rest, the pulley turns through 0.650 rad in 91.0 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acce- leration, (c) string tension Tı, and (d) string tension T2?
A turnable with a moment of interia of 0.012 kg m² rotates freely at 2.0 rad/s. A circular disk of mass 200 g and diameter 30 cm, and initially not råtating, slips down a spindle and land on the turnable. (A) Find the new angular speed. (B.) Whot is the change in kinetic energy?
A solid cylinder of mass M = 1.06 kg and radius R = 13.0 cm pivots on a thin, fixed, frictionless bearing (see Figure). A string wrapped around the cylinder pulls downward with a force F = 3.139 N. Consider that instead of the force F, a block with mass m = 0.32 kg (with force F = 3.139 N) is attached to the cylinder with a massless string: The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.5647 m in a time interval of 0.57 s. Find Icm of the new cylinder.
A uniform, solid sphere of radius 5.75 cm and mass 4.75 kg starts with a purely translational speed of 1.75 m/s at the top of an inclined plane. The surface of the incline is 2.75 m long, and is tilted at an angle of 27.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v2 at the bottom of the ramp.
A 3.9-kg sphere is suspended by a cord that passes over a 1.5-kg pulley of radius 3.3 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. wwww (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? m (b) Find the speed of the sphere after it has fallen 25 cm. m/s
Starting from rest, a hollow ball rolls completely down a hill of height 3.5 meters. At the bottom the ball has an angular velocity of 20.2 rad/s. Calculate the radius of the ball. (Iball = (2/3)mr2) (Assume that no energy is lost due to nonconservative forces.)
(a) What is the final velocity, in m/s, of a hoop that rolls without slipping down a 5.90 m high hill, starting from rest? 10.54 Consider the law of conservation of energy. Note that the hoop has both translational as well as rotational motion, What type(s) of energy does the hoop have at the top of the hill? What type(s) of energy does the hoop have at the bottom of the hil? m/s (b) What would be the final velocity, in m/s, if a disk of the same mass and radius as the hoop rolled down the hill? 10.84 What is the moment of inertia of a solid disk? m/s.