et up on the roof, a person (mass 72.0 kg) places a 6.80 m aluminum ladder (mass 13.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its

et up on the roof, a person (mass 72.0 kg) places a 6.80 m aluminum ladder (mass 13.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.100P: The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness...

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The weight of the cylindrical tank is negligible in comparison to the weight of water it contains (water weighs 62.4lb/ft3). The coefficient of static friction between the tank and the horizontal surface is s. (a) Assuming a full tank, find the smallest force P required to tip the tank, and the smallest s that would allow tipping to take place. (b) If the force P = 200 lb initiates tipping, determine the depth of water in the tank.
Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.
To get up on the roof, a person (mass 85.0 kg) places a 6.20 m aluminum ladder (mass 15.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its base. (Enter the magnitudes.)
To get up on the roof, a person (mass 66.7 kg) places an aluminum ladder (mass 9.30 kg) against the house on a concrete pad with the base of the ladder 2.27 m from the house. The ladder rests on a plastic rain gutter, which we can assume to be frictionless. The gutter is 6.96 m from the bottom of the ladder. The center of mass of the ladder is 2.32 m from the bottom. The person is standing 3.32 m from the bottom of the ladder. What are the magnitudes of the forces on the ladder at the top and bottom? At bottom of ladder: normal force = 775 friction force = 106 o N Magnitude of force on bottom of ladder = 782 x N At top of ladder, normal force = 106 X N
A 76.0- kg boulder is rolling horizontally at the top of a vertical cliff that is 20 m above the surface of a 4. lake, as shown in the figure. The top of the vertical 100 m face of a dam is located 100 m from the foot of the Lake cliff, with the top of the dam level with the surface of the water in the lake. A level plain is 25 m below the top of the dam. Dam 25 m Plain a. What must be the minimum speed of the rock just as it leaves the cliff so it will travel to the plain without striking the dam? b. How far from the foot of the dam does the rock hit the plain? What acceleration
A tapered ladder, (length = 10.5 m and mass = 18.5 kgs) whose center of gravity is 1/3 from its foot, leans against a rough vertical wall. The foot of the ladder is 6.25 m away from the wall. A 60-kg man is standing 2.5 meter from the top of the ladder. If the coefficlent of frictlon between the wall and the ladder is 0.35, determine a) the coefficient of friction between the floor and the ladder, b) reaction components and the resultant reactlon (magnltude & dlrectlon) at both ends.
Ocean Marsh d = 9 ft 5.79 A freshwater marsh is drained to the ocean through an automatic tide gate that is 4 ft wide and 3 ft high. The gate is ħeld by hinges located along its top edge at A and bears on a sill at B. At a given time, the water levels in the marsh and in the ocean are h = 6 ft and d = 9 ft, respectively. Determine the force exerted by the sill on the gate at B and the hinge reaction at A. (Specific weight of salt water = 64 lb/ft³.) h =6 ft 3 ft B Fig. P5.79
A man is standing on a board on a frozen lake where there is no friction between the board and the ice surface. Tha man's mass is 2 m and the boaf's mass is 4 m. The board has length L. He walks from 1/5 Lfrom the left end of the board to 1/5 L from the right end of the board. How far and in which direction does the board move during this process?
A hydraulic press has a ram of 30 cm diameter and a plunger of 4.5 cm diameter. Find the weight lifted by the hydraulic press when the force applied at the plunger is 800 N
As shown, a mass is hung from the pulley. This mass causes a tensile force of 11.0 N in the cable and the pulley to hang h = 130.0 cm from the ceiling. Assume that the pulley has no mass. What is the weight of the mass?
A 150 lbm human total footprint is 0.7 square feet when the person is wearing boots. If snow can support an extra 2 psi, what should the total snowshoe area be?
A water tank of cross-sectional area 2.5 m2 and height 120 in contains 1500 (US) gallons of water. If the density of water is 1000 kg/m3, calculate the force on the base of the tank.