A solid cylindrical drum of mass 6.0 kg and diameter 0.06 m rolls without slipping on a
Question:
A solid cylindrical drum of mass 6.0 kg and diameter 0.06 m rolls without slipping on a horizontal surface (Figure). The axle of the drum is attached to a spring of spring constant k = 4000 N/m as shown.
(a) Determine the frequency of oscillation of this system for small displacements from equilibrium.
(b) What is the minimum value of the coefficient of static friction such that the drum will not slip when the vibrational energy is 5.0J?
+muu
Step by Step Answer:
a b We shall first do this problem for the general cas...View the full answer
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
Students also viewed these Oscillations Mechanical Waves questions
-
A wheel rolls without slipping on a fixed cylinder. Knowing that at the instant shown the angular velocity of the wheel is 10 rad/s clockwise and its angular acceleration is 30 rad/s2...
-
A ball with uniform mass density rolls without slipping on a turntable. Show that the ball moves in a circle (as viewed from the inertial lab frame), with a frequency equal to 2/7 times the frequency...
-
A collar B of mass m is attached to the spring AB and can move along the rod shown. The constant of the spring is 1.5kN/m and the spring is unscratched when θ = 0. Knowing that the coefficient...
-
You are considering an investment that will be valued at $1,000 one year from now. Your next best alternative investment opportunity would yield an annual rate of return of 8%, In other words, if you...
-
1. What types of barriers are present in Russia that might slow the expansion of international e-commerce there? 2. Suggest the best ways companies such as eBay and Amazon can enter this market.
-
The scatterplot shows the relationship between height (in inches) and weight (in pounds) for the members of the United States 2016 Olympic Track and Field team. Describe the relationship between...
-
Use technology and the data in StudentSurvey to construct a graph of the relationship between class Year and Gender for the situation in Exercise 2.37. Data From Exercise 2.37: Class Year by Gender...
-
In 2014, Pennington Corporation had net sales of $600,000 and cost of goods sold of $360,000. Operating expenses were $153,000, and interest expense was $7,500. The corporations tax rate is 30%. The...
-
For the current year, Maple Corporations book income before federal income tax was $100,000. Included in this $100,000 were the following: Provision for state income tax $1,000 Interest earned on...
-
Zach (age 44) and Kelly (age 44) have been married for 24 years. They have an 8-year-old daughter, Jessie. They also have twin sons, Albert and Samuel (both age 19). All three children lived the...
-
Repeat Problem 120 with U ( x ) = U 0 ( a 2 + 1/ a 2 ). (1+r)" 1+ nr + , 2 , (-)(n 2) ; (2)(1) (- 1), |(1+)" 1+ mr + (3)(2)(1) +...
-
Figure shows a solid half-cylinder of mass M and radius R resting on a horizontal surface. If one side of this cylinder is pushed down slightly and then released, the object will oscillate about its...
-
Which etiquette tips will you actually use to improve your human relations in your personal and professional lives?
-
What are the requirements of financial reporting with regard to the absorption of fixed overhead costs of production?
-
Perform a SWOT analysis for The Coca-Cola Company in the soft drink category. What are the biggest threats and opportunities? What are Coca-Colas relevant strengths and weaknesses? What strategic...
-
Why were some brands (like Google) able to fight off competitors in high-growth markets and others were not?
-
The system shown in figure below is (a) stable (b) unstable (c) conditionally stable (d) stable for input \(u_{1}\) but unstable for input \(u_{2}\). U s-1 s+2 1 (s-1) Uz
-
When the volume of closing inventory is lower than the volume of opening inventory, which will show the greater profit, absorption costing or marginal costing?
-
Assume that the hospital uses salary dollars as the cost driver for general administration, housekeeping labor hours as the cost driver for facilities, and patient services revenue as the cost driver...
-
What tools are available to help shoppers compare prices, features, and values and check other shoppers opinions?
-
Solution (a) Is 100.0 mL of 0.100 M HCl and solution; (b) Is 150.0 mL of 0.100 M NaCH 3 COO. A few drops of thymol blue indicator are added to each solution. What is the color of each solution? What...
-
A spacecraft descends vertically near the surface of Planet X. An upward thrust of 25.0 kn from its engines slows it down at a rate of 1.20 m/S2, but it speeds up at a rate of 0.80 m}S2 with an...
-
A 6.50-kg instrument is hanging by a vertical wire inside a space ship that is blasting off at the surface of the earth. This ship starts from rest and reaches an altitude of 276 min 15.0 s with...
-
Suppose the rocket in Problem 4.47 is coming in for a vertical landing instead of blasting off. The captain adjusts the engine thrust so that the magnitude of the rocket's acceleration is the same as...
-
You have a business worth $1,000,000 and other assets (including your home) worth an additional $750,000. What is the recommended automobile insurance policy that you should carry to be FULLY...
-
Republic Services and Waste Management company Compare the companies' long term Revenue, Gross Profit, Operating Profit) and Net Income and related growth trends. What is the average three year...
-
A young couple own a home in NJ. They would like to have Homeowner Insurance coverage for their home in NJ, in case of frozen plumping and damage form heavy snow or power surges. Which Homeowner's...
Study smarter with the SolutionInn App