Concept explainers
GO In Fig. 6-46, a box of ant aunts (total mass m1 = 1.65 kg) and a box of ant un cles (total mass m2 = 3.30 kg) slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of incline is θ = 30.0°. The coefficient of kinetic friction between the aunt box and the incline is µ1= 0.226; that between the uncle box and the incline is µ2 = 0.113. Compute (a) the tension in the rod and (b) the magnitude of the common acceleration of the two boxes. (c) How would the answers to (a) and (b) change if the uncles trailed the aunts?
Figure 6-46 Problem 60.
![Check Mark](/static/check-mark.png)
Trending nowThis is a popular solution!
![Blurred answer](/static/blurred-answer.jpg)
Chapter 6 Solutions
FUNDAMENTALS OF PHYSICS EXTEND 11E
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Tutorials in Introductory Physics
University Physics Volume 3
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Essential University Physics: Volume 1 (3rd Edition)
Cosmic Perspective Fundamentals
- How many degrees should the angle (x) of the inclined plane be if the values of the mass m are 3 kg <m <30 kg so that the 50 kg block on the inclined plane does not move upward and downward along the plane (static friction coefficient between the contact surfaces ıs 0.30)?arrow_forwardA block of mass m = 13 kg rests on an inclined plane with a coefficient of static friction of μs = 0.085 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.15 m at its tallest point. Part (a) What angle, θ in degrees, does the plane make with respect to the horizontal? Part (b) What is the magnitude of the normal force, FN in newtons, that acts on the block? Part (c) What is the component of the force of gravity along the plane, Fgx in newtons? Part (d) Write an expression, in terms of θ, the mass m, the coefficient of static friction μs, and the gravitational constant g, for the magnitude of the force due to static friction, Fs, just before the block begins to slide. Part (e) Will the block slide?arrow_forwardA particle of mass 0.5 kg is at rest on a rough plane inclined at an angle to the horizontal where sin = 3/5. The particle is just prevented fromsliding from the plane by a force of 2 N applied in an upward directionparallel to a line of the greatest slope of the plane.(a) Draw a figure showing all the forces acting on the particle. (b) Calculate the coefficient of friction between the particle and theplane.(c) Calculate by how much the force of 2 N must be increased so thatthe particle is about to move up the plane.arrow_forward
- A particle of mass 6 kg is placed on a rough plane inclined at an angle a to the horizontal where sin a = 0.8. The coefficient of friction between the particle and the plane is 0.4. An upward force PN actson the particle along a line of greatest slope of the plane. Find the greatest value of Parrow_forwardA 2.20 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 4.83 N and a vertical force are then applied to the block (Fig. 6-17). The coefficients of friction for the block and surface are µs = 0.4 and µk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of is (a) 8.00 N and (b) 12.0 N. (The upward pull is insufficient to move the block vertically.)arrow_forwardA body lies on a horizontal surface. The coefficient of friction between the body and the surface is k. Determine the angle α, at which the force acting to the body and causing its movement is the least.arrow_forward
- A 25 kg wooden plate is held in place by two strings attched to the ceiling and the wall. The string attched to the ceiling makes an angle 40° with the horizontal and the string attached to the wall makes 90° with the wall. Determine the force in each string.arrow_forwardA wedge with mass M rests on a frictionless, horizontal tabletop. A block with mass m is placed on the wedge, and a horizontal force F S is applied to the wedge (Fig.). What must the magnitude of F S be if the block is to remain at a constant height above the tabletop?arrow_forwardThe coefficient of kinetic friction between a box and the floor is u, = 0.16 and the coefficient of static friction is u, = 2.0µ. (a) Calculate the ratio of static to kinetic friction force if m = 9 kg. (b) Will the ratio change if the value of m is changed but u, still equals 2.0µ? Yes Noarrow_forward
- A person , sunbathing on a warm day, is lying horizontally onthe deck of a boat. Her mass is 59 kg, and the coefficient of staticfriction between the deck and her is 0.70. Assume that the person ismoving horizontally, and that the static frictional force is the onlyforce acting on her in this direction . (a) What is the magnitude of the static frictional force when the boat moves with a constant velocity of +8.0 m/s? (b) The boat speeds up with an acceleration of 1.6 m/s2 and she does not slip with respect to the deck . What is the magnitude of the static frictional force that acts on her? (c) What is the magnitude of the maximum acceleration the boat can have before she begins to slip relative to the deck ? If you have answered this please skip. Please put the correct formulas and process. thanksarrow_forwardA person , sunbathing on a warm day, is lying horizontally onthe deck of a boat. Her mass is 59 kg, and the coefficient of staticfriction between the deck and her is 0.70. Assume that the person ismoving horizontally, and that the static frictional force is the onlyforce acting on her in this direction . (a) What is the magnitude of the static frictional force when the boat moves with a constant velocity of +8.0 m/s? (b) The boat speeds up with an acceleration of 1.6 m/s2 and she does not slip with respect to the deck . What is the magnitude of the static frictional force that acts on her? (c) What is the magnitude of the maximum acceleration the boat can have before she begins to slip relative to the deck ?arrow_forwardA 100-kg bale of hay falls of a truck traveling along a level road at 24.4 m/s. It lands flat on the road and slides 100 m before coming to rest. Assume the acceleration is constant, compute the coefficient of kinetic friction between the road and the hay. {µk = 0.30}arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)