A uniform ladder stands on a rough floor and rests against a frictionless wall as shown...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. N₂₁ mg b 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= 4.50 m, a weight of W₁ = 55.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m= 90 kg 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 = 937.5 ✔N 588.6 X N₂ = Determine a good point about which to sum the torques and then see if you can apply the condition for rotational equilibrium about that point that will allow you to determine N₂, the normal force exerted on the ladder by the wall. You may need to use your knowledge of trigonometry to determine the angle between the ladder and the floor. N 468.8 x See if you can apply the condition for translational equilibrium to horizontal forces acting on the ladder in order to obtain a relationship between f₁ and N₁ and hence determine 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 = 937.5 N N₂ 882.9 X Using the point specified in part (a) as the point about which to sum the torques, see if you can apply the condition for rotational equilibrium that will allow you to determine N₂, the normal force exerted on the ladden by the wall. N Go to Settings to activate Windows. 882.9 X f1=See if you can apply the condition for translational equilibrium to horizontal forces acting on the ladder in order to obtain a relationship between fand W₁ and hence determine f. N. N, Additional Materials A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. N₂₁ mg b 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= 4.50 m, a weight of W₁ = 55.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m= 90 kg 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 = 937.5 ✔N 588.6 X N₂ = Determine a good point about which to sum the torques and then see if you can apply the condition for rotational equilibrium about that point that will allow you to determine N₂, the normal force exerted on the ladder by the wall. You may need to use your knowledge of trigonometry to determine the angle between the ladder and the floor. N 468.8 x See if you can apply the condition for translational equilibrium to horizontal forces acting on the ladder in order to obtain a relationship between f₁ and N₁ and hence determine 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 = 937.5 N N₂ 882.9 X Using the point specified in part (a) as the point about which to sum the torques, see if you can apply the condition for rotational equilibrium that will allow you to determine N₂, the normal force exerted on the ladden by the wall. N Go to Settings to activate Windows. 882.9 X f1=See if you can apply the condition for translational equilibrium to horizontal forces acting on the ladder in order to obtain a relationship between fand W₁ and hence determine f. N. N, Additional Materials
Expert Answer:
Related Book For
Chemistry The Central Science
ISBN: 978-0321696724
12th edition
Authors: Theodore Brown, Eugene LeMay, Bruce Bursten, Catherine Murphy, Patrick Woodward
Posted Date:
Students also viewed these physics questions
-
1. You invested $1000 in a savings account in 6th grade. The account pays 5% annual interest. How much money will be in the account after 6 years? 2. The population of a city was 1,860,000 in 2002....
-
Simplify. 3x 2 5 3 2x y 3
-
A sample containing an alkali sulfate is dried, weighed and dissolved in dilute HCl. Barium chloride solution is added in excess to precipitate barium sulfate, and the precipitate is digested in the...
-
A steel spur pinion has 16 teeth cut on the 20 full-depth system with a module of 8 mm and a face width of 90 mm. The pinion rotates at 150 rev/min and transmits 6 kW to the mating steel gear. What...
-
Sherwood Inc.'s net income for the most recent year was $13,168. The tax rate was 34 percent. The firm paid $3,605 in total interest expense and deducted $2,382 in depreciation expense. What was the...
-
Required: When computing purchasing-power gain or loss on net monetary items, which of the following accounts are classified as nonmonetary? 1. Receivables under capitalized leases. 2. Obligations...
-
What are your views on a firm that replaces its one-tier board with a two-tier board and then, a few years later, reverts to a one-tier board, like Suez did, or which asks its chief executive officer...
-
The following CVP income statements are available for Old Company and New Company. Instructions (a) Compute the break-even point in dollars and the margin of safety ratio for each company. (b)...
-
To answer (a)-(c), assume (i) consumption is an increasing function of disposable income and a decreasing function of the real interest rate, (ii) investment is a decreasing function of the interest...
-
On March 1, 2008, Ginny Tyler established Seltzer Realty. Ginny completed the following transactions during the month of March: a. Opened a business bank account with a deposit of $30,000 from...
-
On January 1, 2021, Crane Company issued its 12% bonds in the face amount of $8040000, which mature on January 1, 2031. The bonds were issued for $9028023 to yield 10%, resulting in bond premium of...
-
Given the following information, calculate the cost to consumers, the benefit to producers, the change in government revenue, and the deadweight costs of a proposed 10 percent tariff on personal...
-
Review the assets and liabilities of group decision making. Which methods of improving decision making in organizations help offset the liabilities? How? Why?
-
Which of the following statements is/are correct regarding the auditors use of materiality as it applies to a financial statement audit: a. The auditor is required to report all incidences of...
-
What are the points to be borne in mind in carrying out an investigation on behalf of a banker who wants to lend money to a borrower, which is a company?
-
What are the primary attributes of providers of assurance services? Why are each of the attributes important?
-
Big Show's Pawn Shop charges an interest rate of 28.8% per month on loans to its customers. Like all lenders, Big Show must report an APR to consumers. What rate should the shop report? (Round th...
-
What are the principal alloying elements in SAE 4340 steel?
-
The Ksp value for PbS(s) is 8.0 10-28. By using this value together with an electrode potential from Appendix E, determine the value of the standard reduction potential for the reaction PbS(s) + 2...
-
The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.23. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use...
-
(a) A cube of osmium metal 1.500 cm on a side has a mass of 76.31 g at 25 C. What is its density in g / cm3 at this temperature? (b) The density of titanium metal is 4.51 g/cm3 at 25 C. What mass of...
-
____________ is the ability to control anothers behavior because of the possession of knowledge, experience, or judgment that the other person does not have but needs. (a) Coercive power (b) Expert...
-
The pattern of authority, influence, and acceptable managerial behavior established at the top of the organization is called ______________. (a) organizational governance (b) agency linkage (c) power...
-
The process by which managers help others to acquire and use the power needed to make decisions affecting themselves and their work is called ______________. (a) politics (b) managerial philosophy...
Study smarter with the SolutionInn App