A force F is used to hold a block of mass m = 4.62 kg on an incline as shown in the diagram. The plane makes an angle of Ø = 26.9° with the horizontal and Fis perpendicular to the incline. The coefficient of static friction between the plane and the block is 0.206. What is the minimum force, F, necessary to keep the block at rest?

A force F is used to hold a block of mass m = 4.62 kg on an incline as shown in the diagram. The plane makes an angle of Ø = 26.9° with the horizontal and Fis perpendicular to the incline. The coefficient of static friction between the plane and the block is 0.206. What is the minimum force, F, necessary to keep the block at rest?

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

A rope exerts a force of 50 N on a box to keep it stationary. If the box is on a plane inclined 25° from the horizontal and the coefficient of static friction is 0.29, calculate the normal force exerted on the box.
A 235 N crate rests on a ramp; the maximum angle just before it slips is 27.8° with the horizontal. What is the coefficient of static friction between crate and ramp surfaces? Answer:
A box is at rest on a floor. The box has a mass of 35.0 kg. A force P = 213.0 N is acting to the left at an angle = 31.5° above the horizontal as shown in the figure provided on the right. Between the box and the floor, the coefficient of static friction is Hs = 0.830 and the coefficient of kinetic friction is HK = 0.778. What is the magnitude of the normal force acting on the box? P 0 m
A block (mass = 200.00 g) is placed on an inclined plane 45 degrees from the horizontal. The coefficient of static and kinetic friction between the block and the plane are 0.54 and 0.35, respectively. What is the frictional force between the block and the plane?
A 26.8 kg box sits on a ramp at an angle of 13° above the horizontal. If the coefficient of static friction between the box on the ramp is 0.215, what minimum applied force is required to keep the box at rest?
A block of mass m = 14kg rests on an inclined plane with a coefficient of static friction of mu_{s} = 0.11 between the block and the plane. The inclined plane is L = 6.8m long and it has a height of h = 3.95 m at its tallest point a. What angle in degrees does the plans make with respect to the horizontal B.what is the magnitude of the normal force, Fn in newtons that acts on the block C. What component of the force of gravity along with the plan fgx in newton? Will the block slide?
At a construction site, a pallet of bricks is to be suspended by attaching a rope to it and connecting the other end to a couple of heavy crates on the roof of a building, as shown in (Figure 1). The rope pulls horizontally on the lower crate, and the coefficient of static friction between the lower crate and the roof is 0.509. What is the weight of the heaviest pallet of bricks that can be supported this way? (Hint: Start by drawing appropriate free-body diagrams.) (Express your answer in pounds.) What is the friction force on the upper crate under the conditions given in Part 1? (Express your answer in pounds.)
At a construction site, a pallet of bricks is to be suspended by attaching a rope to it and connecting the other end to a couple of heavy crates on the roof of a building, as shown in (Figure 1). The rope pulls horizontally on the lower crate, and the coefficient of static friction between the lower crate and the roof is 0.707. What is the weight of the heaviest pallet of bricks that can be supported this way? (Hint: Start by drawing appropriate free-body diagrams.)
A force is applied to a block on an inclined surface as shown in the diagram. What magnitude force is necessary to move the block up the incline at a constant rate? The mass of the block is 9.2 kg, the angle of the incline is 44.4°, and the coefficient of kinetic friction between the incline and the mass is 0.032
In the figure below, m, = 10.2 kg and m, = 4.3 kg. The coefficient of static friction between m, and the horizontal surface is 0.50, and the coefficient of kinetic friction is 0.30. An illustration shows a rectangular block of mass m, on the horizontal surface of a table. This is connected to another rectangular block of mass m, by a cord that runs over a pulley placed diagonally at the corner of the horizontal surface of the table. The rectangular block of mass m, is suspended vertically by the side of the tabletop. (a) If the system is released from rest, what will its acceleration be? (Enter the magnitude of the acceleration.) m/s? (b) If the system is set in motion with m, moving downward, what will be the acceleration of the system? (Enter the magnitude of the acceleration.) m/s2
A person is trying to judge whether a picture (mass = 1.47 kg) is properly positioned by temporarily pressing it against a wall. The pressing force is perpendicular to the wall. The coefficient of static friction between the picture and the wall is 0.750. What is the minimum amount of pressing force that must be used?
A 1,380-N crate is being pushed across a level floor at a constant speed by a force of 390 N at an angle of 20.0° below the horizontal. Two figures show a side view of a crate positioned upon a horizontal surface. Figure (a): An arrow pointing downward and to the right is labeled vector F and forms an angle of 20° below the horizontal as it approaches the upper left edge of the crate. Figure (b): An arrow pointing upward and to the right is labeled vector F and forms an angle of 20° above the horizontal as it extends from the upper right edge of the crate. (a) What is the coefficient of kinetic friction between the crate and the floor? (b) If the 390-N force is instead pulling the block at an angle of 20.0° above the horizontal, as shown in the figure b, what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a).