Lou has set up a kiddie ride at the Winter Ice Fair. He builds a right-angle triangular
Question:
Lou has set up a kiddie ride at the Winter Ice Fair. He builds a right-angle triangular wedge, which he intends to push along the ice with a child sitting on the hypotenuse. If he pushes too hard, the kid will slide up and over the top, and Lou could be looking at a lawsuit. If he doesn't push hard enough, the kid will slide down the wedge, and the parents will want their money back. If the angle of inclination of the wedge is 40°, what are the mini mum and maximum values for the acceleration that Lou must achieve? Use m for the child's mass, and µs for the coefficient of static friction between the child and the wedge.
Step by Step Answer:
The freebody is for finding a min f s f smax s F n and points upward To fin...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 Mechanics questions
-
The Custom Bike Company has set up a weighted scoring matrix for evaluation of potential projects. Below are three projects under consideration. a. Using the scoring matrix below, which project would...
-
A shopping mall has set up a promotion as follows. With any mall purchase of $50 or more, the customer gets to spin the wheel shown here. If a number 1 comes up, the customer wins $10. If the number...
-
A police department has set up a speed enforcement zone on a straight length of highway. A patrol car is parked parallel to the zone, 200feet from one end and 150feet from the other end (see figure)....
-
Ten thousand dollars is deposited in a savings account at 4.6% interest compounded continuously. When will the balance triple? O within a year of investment. O In 10 years approximately. none of the...
-
If you expend 10 J of work to push a 1-C charge against an electric field, what is its change of voltage?
-
Sherron, who is single, purchased a house to use as rental property on April 1, 2008, for $300,000. He moved into the house on June 1, 2017, and used it as a personal residence until August 1, 2018,...
-
Considering a group, team, or organization you belong to, reflect on the ways in which you take personal responsibility for controlling your ownand others effectiveness and efficiency. What do you...
-
A thirty-year U.S. Treasury bond has a 4.0 percent interest rate. In contrast, a ten-year Treasury bond has an interest rate of 3.7 percent. If inflation is expected to average 1.5 percentage points...
-
Sage Corporation earned $352,000 during a period when it had an average of 100,000 shares of common stock outstanding. The common stock sold at an average market price of $15 per share during the...
-
Peachtree Delivery Service is owned and operated by Jerome Foley. The following selected transactions were completed by Peachtree Delivery Service during February: 1. Received cash from owner as...
-
A 10-kg block rests on a 5-kg bracket like the one in figure. The 5-kg bracket sits on a frictionless surface. The coefficients of friction between the 10-kg block and the bracket on which it rests...
-
A block of mass 0.5 kg rests on the inclined surface of a wedge of mass 2 kg, as in figure. The wedge is acted on by a horizontal force and slides on a frictionless surface. (a) If the coefficient of...
-
Each of the following VHDL modules contains an error. For brevity, only the architecture is shown; assume that the library use clause and entity declaration are correct. Explain the error and show...
-
Use a substitution of the form u= ax + b to evaluate the following indefinite integral. S3x 3x+4 dx
-
Task 3 In order to support other staff to complete future risk assessments, produce a short-written report that explains. how hazards that become risks can be controlled the importance of fully...
-
let arr = [x => x + 5, x => 8, x => x * 2]; let b = X; let a = arr.reduce((acc, f) => acc + f(b), 0); If we know a is 28, what's the value of X?
-
2. (10 pts.) Identify the point symmetry elements of the structures for which the given directions are equivalent. Enumerate the elements (i.e., the individual symmetry operations) that make up the...
-
Theory Newton's second law can be written in a more general form as where is the momentum of system of N objects and is the net external force on the system. This relationship says that the rate at...
-
What is the meaning of the activity volume vari- ance? Explain how the unused capacity variance is useful to managers? lop4
-
Imagine a sound wave with a frequency of 1.10 kHz propagating with a speed of 330 m/s. Determine the phase difference in radians between any two points on the wave separated by 10.0 cm.
-
Amino acids, such as glycine (gly), form complexes with the trace metal ions found in the bloodstream. Glycine, whose structure is shown here, acts as a bidentate ligand coordinating with the...
-
The acceleration of an object moving in the gravitational field of the Earth is a = GMEr/r3 where r is the position vector directed from the center of the Earth toward the object. Choosing the origin...
-
A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.00-min trip, find (a) The...
-
During a certain period of time, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular...
-
Calculate Social Security taxes, Medicare taxes and FIT for Jordon Barrett. He earns a monthly salary of $11,100. He is single and claims 1 deduction. Before this payroll, Barretts cumulative...
-
Bass Accounting Services expects its accountants to work a total of 26,000 direct labor hours per year. The company's estimated total indirect costs are $ 260,000. The company uses direct labor hours...
-
The Balance Sheet has accounts where the accountant must make estimates. Some situations in which estimates affect amounts reported in the balance sheet include: Allowance for doubtful accounts....
Study smarter with the SolutionInn App