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?
-
Why are social skills so beneficial to many different kinds of careers?
-
What account is debited when a partner withdraws cash for personal use?
-
A product manager at Clean & Brite (C&B) wants to determine whether her company should market a new brand of toothpaste. If this new product succeeds in the marketplace, C&B estimates that it could...
-
Offer recommendations or strategies for effective cross - cultural communication between the two countries.
-
Go to the website www.cedarfair.com and click on Investors, then Investor Information, Financial Reports, and Annual Reports. Then click on 2017 Annual Report on 10-K to access the 2017 Form 10-K...
-
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...
-
Discuss the basic facts about OSHAits purpose, standards, inspection, and rights and responsibilities.
-
Pool Accessories, Inc., has two divisionsFurniture and Supplies. (This is the same company as the previous exercise. This exercise can be assigned independently.) Segmented income statement...
-
It is January 1 of Year 2. Purchases for Yosef Company for January, February, and March of Year 2 are forecasted to be as follows: January, 200,000; February 400,000; March, 500,000 20% of purchases...
-
Chiptown Inc. is a fast-growing manufacturer of computer chips. Direct materials are added at the start of the production process. Conversion costs are added evenly during the process. Some units of...
-
$44,000 $3,680 PT Barnum Company uses the periodic inventory system and has the following data from its December accounting records: Sales Sales Returns & Allowances Freight In on Inventory Purchases...
-
A Partnership between Partners A, B and C is divided such that Partner A owns 50% of the firm, Partner B owns 30% of the and Partner C owns 20%. The partnership has $50,000 of noncash assets recorded...
-
Suppose on March 1 you take a long position in a June crude oil futures contract at \(\$ 50 /\) barrel (contract size = 1,000 barrels). a. How much cash or risk-free securities would you have to...
-
The maximum pressure that can be developed for a certain fluid power cylinder is 15.0 MPa. Compute the required diameter for the piston if the cylinder must exert a force of 30 kN.
-
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...
-
Dog Up! Franks is looking at a new sausage system with an installed cost of $685,000. This cost will be depreciated straight-line to zero over the project's 5-year life, at the end of which the...
-
Pascale has just finished college and started her career. She plans to start saving money early so that she can retire at age 5 5 . She decides that she needs $ 8 0 0 0 0 0 . 0 0 when she retires. a...
-
Based on the preceding results, is the sample median an unbiased estimator of the population median? Why or why not? A. The sample median targets the population median. As such, the sample median...
Study smarter with the SolutionInn App