A block of mass m is placed on an inclined plane which has an adjustable angle with the horizontal. The angle is increased slowly from zero until the block just starts to slide. This angle is called the critical angle, Os. a. Express the coefficient of friction in terms of Og. For angles smaller than 6, the block will not start to move. However, for angles greater than or equal to 0s, once the block does start it is observed that it accelerates down the plane. Once the block starts to move, the angle can be reduced to a second critical value, Ok, for which the acceleration is zero. b. What do you conclude about the friction force?

A block of mass m is placed on an inclined plane which has an adjustable angle with the horizontal. The angle is increased slowly from zero until the block just starts to slide. This angle is called the critical angle, Os. a. Express the coefficient of friction in terms of Og. For angles smaller than 6, the block will not start to move. However, for angles greater than or equal to 0s, once the block does start it is observed that it accelerates down the plane. Once the block starts to move, the angle can be reduced to a second critical value, Ok, for which the acceleration is zero. b. What do you conclude about the friction force?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Consider the figure shown in the following figure. You are loweringtwo boxes, one on top of the other, down a ramp by pulling on a ropeparallel to the surface of the ramp. Both blocks move with constantvelocity of 10.0 [m/s]. The coefficient of kinetic friction between theramp and the lower box is 0.555 and the coefficient of static frictionbetween the two boxes is 0.750. A. Draw the Free-Body diagram of both blocks. Set the ?-axis parallel to the ramp. B. Write Newton’s 2nd law along the ? and ? directions for both blocks considering their state ofmotion (accelerations). C. What are the magnitude and direction of the frictional force on the upper box? D. What is the magnitude of the applied force? E. Determine the angle at which the top block will start to slide down the bottom block.
A push of magnitude P acts on a box of weight W as shown in the figure. The push is directed at an angle 0 below the horizontal, and the box remains a rest. The box rests on a horizontal surface that has some friction with the box. The normal force on the box due to the floor is equal to: O W + P cos 0. O W + P sin 0. OW-P sin 0. O W + P. O W. W 0 P
You want to use a rope to pull a 12 kg box of books up a plane inclined 30 degrees above the horizontal. The coefficient of kinetic friction is 0.28.The rope pulls parallel to the incline. What force do you need to exert on the rope if you want to pull the box with a constant acceleration of 0.50 m/s squared yp the plane?
A crate starts from rest and slides 8.05 m down a ramp. When it reaches the bottom it is traveling at a speed of 5.55 m/s. If the ramp makes an angle of 23.0o with the horizontal, what is the coefficient of friction between the crate and the ramp?
. In Figure 1, we have added an inclined plane to our machine. Whenthe masses are let go, they begin to move. There is friction between theinclined plane and m1, the coefficient of which is µk.(a) Draw FBDs for each mass. Take the y-axis to be perpendicular to theplane, and the x-axis parallel to it.(b) Sum the forces in the x- and y-directions.(c) Solve the equations from part (b) for the acceleration.(d) Take your result for the acceleration from part (c) and substituteα = 90◦(we will assume that neither mass contacts the inclined planehere). What equation for the acceleration a do you obtain? How is thisrelated to the standard Atwood Machine we discussed in class?
A book slides across a level, carpeted floor with an initial speed of 3.85 m/s and comes to rest after 3.75 m. Calculate the coefficient of kinetic friction μ between the book and the carpet. Assume the only forces acting on the book are friction, weight. and the normal force. H =
A box with a mass of 46.5 kg is pushed with a horizontal force of 150 N. The box moves at a constant speed across a level, rough plane a distance of 6.75 m. What is the coefficient of kinetic friction between the box and the plane?
Timmy is done placing his things in a big box and ready to transfer to his new condo unit. The movers arrived and uses a wooden ramp with an elevation of 24.6° from the horizontal to load his things to the truck. If the box has a mass of 45.7kg and has a value of coefficient static friction is 0.936. How much force is required for the delivery man to overcome the static friction? O 568.16 N O 385.14 N O 381.54 N O No answer O 586.16 N
A weight W rests on a rough horizontal plane. If the angle of friction is θ, the least force that will move the body along the plane will be ___________ a) W cosθ b) W tanθ c) W cotθ d) W sinθ
1 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch. As m; (2Kg) move down, m, move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 l20 Son la 1
1 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch, As m (2Kg) move down, m,move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 1
The force needed to get a block moving and to just barely keep it moving were used to calculate the coefficient of static friction and the coefficient of kinetic friction for the block. Which values are most likely the correct ones for this block? O .35 for coefficient of static friction and .35 for coefficient of kinetic friction 25 for coefficient of static friction and .35 for coefficient of kinetic friction 35 for coefficient of static friction and .25 for coefficient of kinetic friction 25 for coefficient of static friction and .25 for coefficient of kinetic friction