A house is built on the top of a hill with a nearby slope at angle
Question:
A house is built on the top of a hill with a nearby slope at angle θ = 45o(Figure). An engineering study indicates that the slope angle should be reduced because the top layers of soil along the slope might slip past the lower layers. If the coefficient of static friction between two such layers is 0.5, what is the least angleФthrough which the present slope should be reduced to prevent slippage?
New slope Original slope-
Step by Step Answer:
An excellent discussion and equation developm...View the full answer
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
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
-
If the coefficient of static friction between your coffee cup and the horizontal dashboard of your car is s = 0.800, how fast can you drive on a horizontal roadway around a right turn of radius 30.0...
-
If the coefficient of static friction between a car's tires and the pavement is 0.65, calculate the minimum torque that must be applied to the 66-cm-diameter tire of a 1080-kg automobile in order to...
-
A rod is lying on the top of a table. One end of the rod is hinged to the table so that the rod can rotate freely on the tabletop. Two forces, both parallel to the tabletop, act on the rod at the...
-
A company is implementing Dynamics 365 Supply Chain Management. The company plans to implement the solution in a phased approach across several incremental projects. The project manager needs a...
-
Why does it make sense to say that the interest rate is the price to rent money?
-
Pizza King (PK) and Noble Greek (NG) are competitive pizza chains. PK believes there is a 25% chance that NG will charge $6 per pizza, a 50% chance NG will charge $8 per pizza, and a 25% chance that...
-
Task: Create a depreciation schedule to monitor your companys investment in fixed assets. a. Your spreadsheet should have the following column headings: Account number (5 digits, valid range from...
-
Mullineaux Corporation has a target capital structure of 60 percent common stock, 5 percent preferred stock, and 35 percent debt. Its cost of equity is 12 percent, the cost of preferred stock is 5...
-
rolling stone Company manufactures baby walkers. The company has automated production and allocated overhead based on machine hours. stones expecrs to incur $72,000 of manufacturing overhead costs...
-
For the following project, 3 sections are expected every week. Each week is 5 working days with 8 hours a day. Find the value of X1? Find the value of X2? Find the value of X3? Find the value of X4?...
-
A locomotive accelerates a 25-car train along a level track. Every car has a mass of 5.0 x 10 4 kg and is subject to a frictional force f = 250v, where the speed v is in meters per second and the...
-
What is the terminal speed of a 6.00 kg spherical ball that has a radius of 3.00 cm and a drag coefficient of 1.60? The density of the air through which the ball falls is 1.20 kg/m 3 .
-
A Company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes...
-
Common stock valuation Peter Brothers Inc. is expected to pay a $ 0 . 5 0 per share dividend at the end of the year. The dividend is expected to grow at a constant rate of 7 % a year. The required...
-
Write a TOY AL subprogram that returns in register $F the number of unsigned values in an array that are greater than some specified cut-off value. Subprogram interface: On entry: Register $1 is the...
-
WR14. "XYZ" company has experienced a high turnover rate of its administrative assistant positions. The hiring decision and the candidate's job acceptance are based on limited information about the...
-
1: Affective dimension refers to the capacity to share the feelings of other people. Dimension 2: Moral dimension, which refers to one's motivation to find the good in other people as a reason to...
-
Due to the trauma, Jesse breaks into an ice cream shop, steals all the ice cream, and is later caught. Which defense most likely applies to this situation? (Whether or not the defense will work is...
-
An entity's internal controls should be designed to achieve a variety of objectives. Assume that an entity wishes to accomplish the following four control objectives: 1. Transactions should be...
-
For each equation, (a) Write it in slope-intercept form (b) Give the slope of the line (c) Give the y-intercept (d) Graph the line. 7x - 3y = 3
-
An archer shoots an arrow at a 75.0 m distant target; the bulls-eye of the target is at same height as the release height of the arrow. (a) At what angle must the arrow be released to hit the...
-
Figure 37-37 shows three situations in which a starship passes Earth (the dot) and then makes a round trip that brings it back past Earth, each at the given Lorentz factor. As measured in the rest...
-
Ionization measurements show that a particular lightweight nuclear particle carries a double charge (= 2e) and is moving with a speed of 0.710c. Its measured radius of curvature in a magnetic field...
-
A 2.50 MeV electron moves perpendicularly to a magnetic field in a path with a 3.0 cm radius of curvature. What is the magnetic field B?
-
Hello tutors, can I please get help with the following reliability problem , thank you ! A system with 12 components has the structure given below.
-
Topic - The topic for this final assignment is "Technological resources and physical distribution management" 3. Problem - The purpose of this exploratory review is to answer the question: "How can...
-
A major debate today continues to be about determining the best organizational structure, including the structure for purchasing and integrated supply chain management. The ideal procurement...
Study smarter with the SolutionInn App