A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (orpivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distanced = 0.255 m from the rock, which has a mass of 325 kg, and fits one end of the rod under the rock's center of weight.If the homeowner can apply a maximum force of 655 N at the other end of the rod, what is the minimum total length L ofthe rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock andhomeowner's force are both essentially vertical. The acceleration due to gravity is g = 9.81 m/s².L =m

The mass of the rock, m = 325 kg The maximum force the homeowner can apply, Fo= 655 N The…

A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance d = 0.255 m from the rock, which has a mass of 325 kg, and fits one end of the rod under the rock's center of weight. p - If the homeowner can apply a maximum force of 655 N at the other end of the rod, what is the minimum total length L of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is g = 9.81 m/s². L =

A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance d = 0.255 m from the rock, which has a mass of 325 kg, and fits one end of the rod under the rock's center of weight. p - If the homeowner can apply a maximum force of 655 N at the other end of the rod, what is the minimum total length L of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is g = 9.81 m/s². L =

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

In exercise physiology studies, it is sometimes important to determine the location of a person's center of mass. This determination can be done with the arrangement shown in the figure below. A light plank rests on two scales, which read F, = 395 N and F, gi = 340 N. A distance of 1.65 m separates the scales. How far from the woman's feet is her center of mass? g2 1.65 m F 18. F 82
Two kids are playing on a seesaw on the school playground. The first kid (of mass 50 kg) sits 2 meters from the fulcrum. The other child (who has a mass of 70 kg) sits on the other side of the seesaw. How far away from the fulcrum does the second child need to sit in order to balance the seesaw? Assume that the seesaw itself is weightless. O 0.79 m O 1.43 m O 1.03 m O 2.24 m
You place a 15.0-m long, 22-kg uniform ladder against a smooth vertical wall with the bottom of the ladder 3.0 m from the wall. There is a lot of slippery mud so naturally you are worried about the ladder slipping. The coefficient of static friction between the floor and the ladder is 0.28. What distance, measured along the ladder from the bottom, can a 60-kg person climb before the ladder starts to slip?
A hungry bear weighing 85.0 kg walks out on a beam in an attempt to retrieve a basket of food hanging at the end of the beam. The beam is uniform, has a mass of 20.0 kg, is 8.00 m long, and pivoted at the wall; the basket weighs 10.0 kg. If the wire can withstand a maximum tension of 900 N, what is the maximum distance that the bear can walk before the wire breaks? ←x 60.0⁰ Goodies
A 4 m long horizontal uniform beam of mass 20 kg is supported by a wire as shown in the figure. The wire makes an angle of 23 degrees with the beam. Attached to the beam 1.2 m from the wall is a ball with a mass of 48 kg. What is the tension in the string? K 0 (m)
A 14.0 m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. A. Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. B. If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? C. If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?
Three children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and a very light board 3.4 m long (Figure 1). Two playmates are already on either end. Boy A has a mass of 45 kg, and boy B a mass of 35 kg. ▼ Part A Where should girl C, whose mass is 25 kg, place herself so as to balance the seesaw? Express your answer to two significant figures and include the appropriate units. for Part A for Part Addo for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A x= Value Units
Review Conceptual Example 7 before starting this problem. A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 462 N walk on the overhanging part of the plank before it just begins to tip? 41.1 ma
Suppose a 905-kg car is on the bridge in the figure with its center of mass halfway between the hinges and the cable attachment. (The bridge is supported by the cable and hinges only.) The mass of the bridge is 2500 kg. Find the tension, in newtons, in the cable.
A beam resting on two pivots has a length of L = 6.00 m and mass M = 77.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 61.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip. (b) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip.x = (c) Check the answer to part (e) by computing torques around the first pivot point.x = (d)Except for possible slight differences due to rounding, is the answer the same for F and E?
A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. Since the floor is rough, it exerts both a normal force N1 and a frictional force f1 on the ladder. However, since the wall is frictionless, it exerts only a normal force N2 on the ladder. The ladder has a length of L = 4.4 m, a weight of WL = 53.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N
L = 2.0 m A diver with a mass of 43 kg is standing 1.3 m from the left end of a diving board. This diving board has a mass of 83 kg and a length of 2 meters. It is supported by a pillar that is 0.5 m from the left end (labeled F, in the figure) and a bolt that holds the left end down (labeled F2 in the figure). What is the magnitude of the force from the pillar, labeled F1. F = What is the magnitude of the force from the end of the board, labeled F2. F2 = What position could the diver stand at to make both F, and F2 a minimum? 3:45 PM