![Fundamentals of Physics, Volume 1, Chapter 1-20](https://www.bartleby.com/isbn_cover_images/9781118233764/9781118233764_largeCoverImage.gif)
Concept explainers
A makeshift swing is constructed by makings loop in one end of a rope and tying the other end to a tree limb. A child is silting in the loop with the rope hanging vertically when the child's father pulls on the child with a horizontal force and displaces the child to one side. Just before the child is released from rest, the rope makes an angle of 15° with the vertieal and the tension in the rope is 280 N. (a) How much does the child weigh? (b) What is the magnitude of the (horizontal) force of the father on the child just before the child is released? (c) If the maximum horizontal force the father can exert on the child is 93 N, what is the maximum angle with the vertical the rope can make while the father is palling horizontally?
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 12 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
College Physics: A Strategic Approach (4th Edition)
Introduction to Electrodynamics
The Cosmic Perspective Fundamentals (2nd Edition)
Essential University Physics: Volume 1 (3rd Edition)
Life in the Universe (4th Edition)
- A pulley is attached to one end of a rough plank, which makes an angle of 34° with the horizontal. A box is held at rest on the plank by a string that is attached to the box and passes over the pulley. A bucket of water is attached to the other end of the string and hangs freely. The coefficient of static friction between the plank and the box is 0.8. The box remains at rest but is on the point of slipping up the plank. The bucket of water has mass 7.5 kg. pulley box bucket of water 34° Model the box and the bucket of water as particles, the string as a model string and the pulley as a model pulley. (a) By considering the forces acting on the bucket of water, find the magnitude of the tension in the string (in newtons) in terms of g and the magnitude of the acceleration due to gravity (in ms-2). (b) State the four forces that act on the box and draw a force diagram showing them, including the angles that show their directions. (c) Take the unit vector i to be in the direction up the…arrow_forwardA horizontal rod of length 429 cm is held aloft by friction against a brick wall on one end and on the other end by a rope of length 584 cm, which itself is attached to the brick wall directly above where the rod touches the wall. The coefficient of static friction between the wall and the rod is 0.458. A ball of the same weight as the rod hangs from the rod. Find What is the minimum distance ball must hang from the wall in order to the rod to stay stable?arrow_forwardOn the way to Hilton Head, S.C. for Spring Break, your car breaks down in the middle of nowhere. A tow truck weighing 4500 lbs comes along and agrees to tow your car, which weighs 1800 lbs, to the nearest town. The driver of the truck attaches his cable to your car at an angle of 22° from the horizontal. He tells you that his cable has a strength of 550 lbs. He plans to take 10 seconds to tow your car at a constant acceleration from rest, in a straight line along the flat road, until he reaches the maximum speed limit of 45 miles/hour. Can the driver carry out his plan? You assume that rolling friction behaves like kinetic friction, and the coefficient of rolling friction between your tires and the road is 0.10.arrow_forward
- A rope is strung between two walls parallel to the floor. A 35kg mass is hung from the rope at its midpoint. This causes the rope to sag by 12°. Find the tension in the rope.arrow_forwardA person is pushing a wheelbarrow along a ramp that makes an angle a = 43.0° with the horizontal. The wheelbarrow and L load have a combined mass of m = 26.60 kg with the center of mass at the midpoint of the length L. What is the Fx magnitude of the net force Fnet that the person must apply in order to push the wheelbarrow up the ramp at a constant velocity, while keeping the wheelbarrow in a level, horizontal Ja. orientation? Assume that the radius of the wheel is small enough to ignore. Use g = 9.81 m/s². 260.7 total force: Incorrectarrow_forwardA rigid, vertical rod with a mass of 2.7 kg simply rests on the floor and is held in place by static friction. The coefficient of static friction between the rod and the floor is 1/6. The rod also has a wire connected between its top end and the floor, as shown in the figure. A horizontal force F is applied at the midpoint of the rod. F Æ 45° Find the greatest force F that can be applied at the midpoint of the rod without causing it to slip. Narrow_forward
- A 1.80 kg box rests on a plank that is inclined at an angle of 62.0° above the horizontal. The upper end of the box is attached to a spring with a force constant of 24.0 N/m. If the coefficient of static friction between the box and the plank is 0.30, what is the maximum amount the spring can be stretched and the box remain at rest?arrow_forwardThe figure below shows a block weighing 22 N in contact with a vertical wall. Two forces are applied to the block, in addition to gravity, a horizontal force F of magnitude 60 N which pushes the block against a vertical wall and a force P of magnitude 62 N which pushes upward on the bottom of the block parallel to the wall. The coefficient of static friction between the wall and the block is 0.55 and the coefficient of kinetic friction between them is 0.38. Is the frictional force acting on the block static or kinetic, what is its magnitude and in what direction does it point? F Parrow_forwardThe weightless strut in the figure below is not attached to the wall; it is prevented from falling only by friction. (Let w = 365 N, L = 4.45 m and h = 2.95 m.) (a) Find the magnitude of the force of friction between the wall and the strut.(b) Find the normal force exerted by the wall on the strut.(c) Find the minimum coefficient of static friction.arrow_forward
- Some insects can walk below a thin rod (such as a twig) by hanging from it. Suppose that such an insect has mass m and hangs from a horizontal rod with angle u = 40. Its six legs are all under the same tension, and the leg sections nearest the body are horizontal. (a) What is the ratio of the tension in each tibia (forepart of a leg) to the insect’s weight? (b) If the insect straightens out its legs somewhat, does the tension in each tibia increase, decrease, or stay the same?arrow_forwardLogs weighing 1.3 kg and 2.2 kg lie on a flat surface and are connected by a rope that breaks at a force of 20 N. The coefficient of friction between the lighter log and the base is 0.50, and between the heavier log and the base 0.30. With what maximum force can we pull the lighter log so that the string does not break?arrow_forwardA laboratory on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a m, separate pulley clamped to the edge of the platform, and then tied to a freely-hanging mass, so that each string is under tension and the ring is suspended parallel to the table surface. m2 m2 A mass of m1 = 0.153 kg is located at 0, 28.5°, and a %3D second mass of m2 = 0.211 kg is located at 02 295°. %3D Calculate the mass m3 and the angular position 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform. kg m3 = 03 =arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)