**Educational Website Content****Physics Problem: Equilibrium of Forces**A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large potted plant on the roof, as depicted in the figure. When initially set up by the shopkeeper on a sunny and dry day, the sign and the pot are in equilibrium. The mass of the sign is 21.0 kg, and the mass of the potted plant is 61.5 kg.**Diagram Description:**The diagram shows a pulley attached to the edge of a roof with a wire running over it. One end of the wire is attached to a sign labeled "Plant sale today!" which hangs vertically. The other end of the wire is attached to a potted plant sitting on the roof.**Questions:**(a) Assuming the objects are in equilibrium, determine the magnitude of the static friction force experienced by the potted plant. \[ \text{N} \] (Specify the units of force in Newtons.)(b) What is the maximum value of the static friction force if the coefficient of static friction between the pot and the roof is 0.441? \[ \text{N} \] (Specify the units of force in Newtons.)**Instructions for Learners:** Consider the forces acting on both the potted plant and the sign, and apply the principles of static equilibrium to solve for the required forces. Utilize the concepts of static friction and gravitational force to reach your solution.

Given, the mass of the sign, m = 21 Kg The mass of the plotted plant, M = 61.5 Kg

A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large potted plant on the roof as shown in the figure below. When first set up by the shopkeeper on a sunny and dry day, the sign and the pot are in equilibrium. The mass of the sign is 21.0 kg, and the mass of the potted plant is 61.5 kg. Plant sale today! (a) Assuming the objects are in equilibrium, determine the magnitude of the static friction force experienced by the potted plant (b) What is the maximum value of the static friction force if the coefficient of static friction between the pot and the roof is o 4412 IN

A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large potted plant on the roof as shown in the figure below. When first set up by the shopkeeper on a sunny and dry day, the sign and the pot are in equilibrium. The mass of the sign is 21.0 kg, and the mass of the potted plant is 61.5 kg. Plant sale today! (a) Assuming the objects are in equilibrium, determine the magnitude of the static friction force experienced by the potted plant (b) What is the maximum value of the static friction force if the coefficient of static friction between the pot and the roof is o 4412 IN

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 85P: BIO When a gymnast performing on the rings executes the iron cross, he maintains the position at...

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BIO When a gymnast performing on the rings executes the iron cross, he maintains the position at rest shown in Figure P10.85a. In this maneuver, the gymnasts feet (not shown) are off the floor. The primary muscles involved in supporting this position are the latissimus dorsi (lats) and the pectoralis major (pecs). One of the rings exerts an upward fore Fh on a hand as shown in Figure P10.85b. The force Fs is exerted by the shoulder joint on the arm. The latissimus dorsi and pectoralis major muscles exert a total force Fm on the arm. (a) Using the information in the figure, find the magnitude of the force Fm. (b) Suppose an athlete in training cannot perform the iron cross but can hold a position similar to the figure in which the arms make a 45 angle with the horizontal rather than being horizontal. Why is this position easier for the athlete? Figure P10.85
A certain orthodontist uses a wire brace to align a patients crooked tooth as in Figure P5.4. The tension in the wire is adjusted to have a magnitude of 18.0 N. Find the magnitude of the net force exerted by the wire on the crooked tooth.
You have been hired as an expert witness in a case involving an injury in a factory. The attorney who hired you represents the injured worker. The worker was told to lift one end of a long, heavy crate that was lying horizontally on the floor and tilt it up so that it is standing on end. He began lifting the end of the crate, always applying a force that was perpendicular to the top of the crate. As the end of the crate got higher, at a certain angle, the bottom of the crate slipped on the floor, and the worker, in trying to recover, stepped forward and the crate landed on his foot, injuring it badly. As part of your investigation, you go to the factory and measure the coefficient of static friction between a crate and the smooth concrete floor. You find it to be 0.340. Prepare an argument for the attorney showing that it was impossible to lift the crate in the manner described without it slipping on the floor.
(i) If you are trying to loosen a stubborn screw from a piece of wood with a screwdriver and fail, should you find a screwdriver for which the handle is (a) longer or (b) fatter? (ii) If you are trying to loosen a stubborn bolt from a piece of metal with a wrench and fail, should you find a wrench for which the handle is (a) longer or (b) fatter?
A device for exercising the upper leg muscle is shown in Figure 9.39, together with a schematic representation of an equivalent lever system. Calculate the force exerted by the upper leg muscle to lift the mass at a constant speed. Explicitly show how you follow the steps in the Problem-Solving Strategy for static equilibrium in Applications of Statistics, Including Problem-Solving Strategies
Figure CQ10.15 shows a side view of a childs tricycle with rubber tires on a horizontal concrete sidewalk. If a string were attached to the upper pedal on the far side and pulled forward horizontally, the tricycle would start to roll forward. (a) Instead, assume a siring is attached to the lower pedal on the near side and pulled forward horizontally as shown by A. Will the tricycle start to roll? If so, which way? Answer the same questions if (b) the string is pulled forward and upward as shown by B, (c) if the string is pulled straight down as shown by C, and (d) if the string is pulled forward and downward as shown by D. (e) What If? Suppose the string is instead attached to the rim of the front wheel and pulled upward and backward as shown by E. Which way does the tricycle roll? (f) Explain a pattern of reasoning, based on the figure, that makes it easy to answer questions such as these. What physical quantity must you evaluate? Figure CQ10.15
A bowling ball rolls up a ramp 0.5 m high without slipping to storage. It has an initial velocity of its center of mass of 3.0 m/s. (a) What is its velocity at the top of the ramp? (b) If the ramp is 1 m high does it make it to the top?
In one amusement park ride, riders enter a large vertical barrel and stand against the wall on its horizontal floor. The barrel is spun up and the floor drops away. Riders feel as if they are pinned to the wall by a force something like the gravitational force. This is a fictitious force sensed and used by the riders to explain events in the rotating frame of reference of the barrel. Explain in an inertial frame of reference (Earth is nearly one) what pins the riders to the wall, and identify all of the real forces acting on them.
You are working during your summer break as an amusement park ride operator. The ride you are controlling consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P6.7). The coefficient of static friction between a person of mass m and the wall is s, and the radius of the cylinder is R. You are rotating the ride with an angular speed suggested by your supervisor. (a) Suppose a very heavy person enters the ride. Do you need to increase the angular speed so that this person will not slide down the wall? (b) Suppose someone enters the ride wearing a very slippery satin workout outfit. In this case, do you need to increase the angular speed so that this person will not slide down the wall? Figure P6.7
A merry-go-round at a childrens park begins at rest and ispushed by a parent while a child holds onto the ride at the outeredge, 3.00 m from the center. The parent pushes with a constantforce for 2.54 s until the child is moving with a speed of 12.5 m/s.What is the magnitude of the net acceleration on the child theinstant before the parent stops pushing the merry-go-round?
Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as shown in Figure P8.15a. Inertial parameters for a particular gymnast are as follows: Note that in Figure P8.l5a rcg is the distance to the center of gravity measured from the joint closest to the bar and the masses for the arms, thighs, and legs include both appendages. I is the moment of inertia of each segment about its center of gravity. Determine the distance from the bar to the center of gravity of the gymnast for the two positions shown in Figures P8.15b and P8.15c. Figure P8.15
You have been hired as an expert witness in the case of a factory owner suing a demolition company. The particular case involves a smokestack at a factory being demolished. In order to save money, the factory owner wanted to move the smokestack to a nearby factory that was being built. The demolition company guaranteed to deliver the undamaged smokestack to the new factory by toppling the smokestack freely onto a huge cushioned platform lying on the ground. The then-horizontal smokestack would have been loaded onto a long truck rig for transport to the new factory. However, as the smokestack toppled, it broke apart at a point along its length. The factory owner is blaming the demolition company for the destruction of his smokestack. The demolition company is claiming that there was a defect in the smokestack and that is the reason for its destruction. What advice do you give the attorney who is handling the case on the side of the factory owner?