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?
-
This modifies and extends Problem 17-A2. However, this problem is self-contained because all the facts are reproduced. Poseidon Publishing Company acquired all the common shares of Neptune Book...
-
Early in the fifth year of a machines six-year useful life, it is overhauled, and its useful life is extended to nine years. This machine originally cost $108,000 and the overhaul cost is $ 12,000....
-
Cooperative enterprises are collectively owned, and their affairs are directed through shared governance. Use the preceding theory to discuss the management of some cooperative enterprises with which...
-
(1 point) If a i+j+4k and b = i+j+5k Compute the cross product a x b. axb i+j + k Note: You can earn partial credit on this problem.
-
The wing of a small plane is represented by a simplified prismatic cantilever beam model acted on by the distributed loads shown in the figure. Assume constant EI = 1200 kN*m 2 . Find the tip...
-
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 .
-
Shareholders act as: a. Principals in their agency relationship with managers, but as agents in their agency relationship with lenders. b. Agents in both their agency relationship with managers and...
-
Mention 4 reasons why blockchaincan be useful to access distributed GPUs The following site is the reference. https://www3.weforum.org/docs/48423_Whether_Blockchain_WP.pdf
-
How should Electricity Company of Ghana, Danyame branch perform to satisfy their customers effectively? How to identify Electricity Company of Ghana, Danyame branch - CRM performance and to make...
-
1. The following information was taken from the records of the Demi Corporation for the month of June: Work In Process, beginning - 7,500 units, complete, $10,400; Work In Process, end - 4,500 units,...
-
Explain the investing and financing activities classifications on a statement of cash flows. Give your own example of each type of activity.
-
How should an informed opinion counter an uninformed opinion? How should an opinion piece be written?
-
The purpose of a file retention date is to: a. Enable files with the same generation number to be distinguished b. Indicate when the file should be recovered from production activities c. Prevent the...
-
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?
-
Logistics Solutions provides order fulfillment services for dot.com merchants. The company maintains warehouses that stock items carried by its dot.com clients. When a client receives an order from a...
-
Hace varios meses, la empresa Jones sufri un vertido de materiales peligrosos al ro White desde una de sus plantas. Como resultado, la Agencia de Proteccin Ambiental (EPA) mult a la empresa con...
-
On January 1, 2021, Robertson Construction leased several items of equipment under a two-year operating lease agreement from Jamison Leasing, which routinely finances equipment for other firms at an...
Study smarter with the SolutionInn App