In Figure a solid cylinder attached to a horizontal spring (k = 3.00 N/m) rolls without slipping
Question:
(a) The translational kinetic energy and
(b) The rotational kinetic energy of the cylinder as it passes through the equilibrium position.
(c) Show that under these conditions the cylinder's center of mass executes simple harmonic motion with period T = 2Ï3M/2K, where M is the cylinder mass.
м
Step by Step Answer:
a The potential energy at the turning point is equal in the absence of frictio...View the full answer
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Related Video
simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same
Students also viewed these Oscillations Mechanical Waves questions
-
The transmission of light energy as it passes through a solution of light-absorbing molecules is described by the Beer??Lambert lawwhich gives the decrease in intensity I in terms of the distance L...
-
In Figure a block of mass m = 12 kg is released from rest on a frictionless incline of angle = 30o. Below the block is a spring that can be compressed 2.0 cm by a force of 270 N. The block...
-
A particle executes simple harmonic motion with an amplitude of 3.00 cm. At what position does its speed equal half its maximum speed?
-
Find the lengths of the curves. The curve r = a sin 2 (/2), 0 , a > 0
-
Assume that the bond market participants suddenly expect the Fed to substantially increase the money supply. a. Assuming no threat of inflation, how would bond prices be affected by this expectation?...
-
The drawing shows a wire tooth brace used by orthodontists. The topmost tooth is protruding slightly, and the tension in the wire exerts two forces T(vector) and T(vector) on this tooth in order to...
-
Suppose that in the maintenance of a large medicalrecords file for insurance purposes the probability of an error in processing is 0.0010, the probability of an error in filing is 0.0009, the...
-
For each of the following companies, specify whether each company would be more likely to use job costing or process costing. a. Aircraft builder b. Hospital c. Cement plant d. Dentist e. Advertising...
-
Please show me the Calculation step by step. Thank you Financial Analysis : Facts: $1 US = $1.40 CDN One truckload / container = 1940 cases One truckload / container = 25 standard pallets One pallet...
-
The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a customer visits the store during a month. The responses of 51 customers...
-
A simple harmonic oscillator consists of a 0.50 kg block attached to a spring. The block slides back and forth along a straight line on a frictionless surface with equilibrium point x = 0. At t = 0...
-
A block weighing 10.0 N is attached to the lower end of a vertical spring (k = 200.0 N/m), the other end of which is attached to a ceiling. The block oscillates vertically and has a kinetic energy of...
-
What key ingredients are necessary for the creation of economic demand?
-
The stagnation chamber of a wind tunnel is connected to a high-pressure air bottle farm which is outside the laboratory building. The two are connected by a long pipe of 4 -in inside diameter. If the...
-
Define and distinguish between an independent and an agency adoption.
-
Identify the basic steps in the adoption process.
-
Define and distinguish between an open and a closed adoption.
-
Identify at least five common characteristics of abusers.
-
Identify three writing principles from this chapter that you most need to work on. For each principle, write a paragraph about why you want to improve in this area and how you will go about doing it....
-
Willingness to pay as a measure of a person's value for a particular good measures the maximum a person would be willing to pay requires that payment actually be made depends on the satisfaction that...
-
Show how x = ABC can be implemented with one two-input NOR and one two-input NAND gate.
-
A train slows down as it rounds a sharp horizontal turn, slowing from 90.0 km/h to 50.0 km/h in the 15.0 s that it takes to round the bend. The radius of the curve is 150 m. compute the acceleration...
-
An automobile whose speed is increasing at a rate of 0.600 m/s2 travels along a circular road of radius 20.0 m. When the instantaneous speed of the automobile is 4.00 m/s, find (a) The tangential...
-
A bowling ball has mass M, radius R, and a moment of inertia of 2/5 MR2. If it starts from rest, how much work must be done on it to set it rolling without slipping at a linear speed v? Express the...
-
A client required an IP address from DHCP server, please list the steps of the DHCP process?
-
Bijan's pipelined processor features separate instruction and data caches. The instruction cache (I-cache) has a single level and the data cache (D-cache) has two levels, as shown in the figure...
-
Peter opened a brokerage account to sell short 1,200 shares of Carb Farm stock at the current market price of $160 per share. The brokerage firm charges 12% per annum on the margin loan. a. Suppose...
Study smarter with the SolutionInn App