Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 65P
To determine
The minimum coefficient of friction.
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A uniform ladder rests against a smooth vertical wall and on a rough horizontal ground. The weight of the ladder is 10N and it is just about to slip when inclined 30 degrees to the vertical. Calculate the coefficient of friction
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275
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A uniform ladder of length L and weight w is leaning against avertical wall. The coefficient of static friction between the ladderand the floor is the same as that between the ladder andthe wall. If this coefficient of static friction is μs = 0.500, determinethe smallest angle the ladder can make with the floorwithout slipping.
Chapter 12 Solutions
Physics for Scientists and Engineers
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- A 10 m long ladder with mass of 20 kg rests against a smooth wall at height of 8 m at an inclination a to the rough ground floor. Assuming that there is no friction between the wall and the ladder, but there is a frictional force between the floor and the ladder. (a) Determine the minimum static coefficient of friction, 4 between the floor and the ladder for which equilibrium is possible. (b) A worker of mass 80 kg climbs up the ladder. Determine how far the worker may go up before the ladder starts to slip. (c) By comparing between frictional force of floor and wall, determine whether a worker can climb safely to the top of the ladder or not.arrow_forwardDetermine the magnitude P of the vertical force re- quired to lift the wheelbarrow free of the ground at point B. The combined weight of the wheelbarrow and its load is 240 lb with center of gravity at G. A 24" 20" B 19" 21" 8"arrow_forwardOne end of a uniform - 3.60-m-long rod of weight w is supported by a cable at an angle of 6-37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is,-0.460. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point Aarrow_forward
- One end of a uniform l = 3.80 m long rod of weight supported by an angle of theta = 37 degrees with the rod. The other end rests against a wall, where held by friction (se ). coefficient of static friction between the wall and rod mu i =0.575 Determine the minimum distance from an additional welght (same the weight of the rod) can hung without causing the rod to point a.arrow_forwardOne end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. What is the maximum value thetheta can have if the stick is to remain in equilibrium?arrow_forwardA ladder of length L and negligible weight leans against a frictionless vertical wall making an angle O with the horizontal. The coefficient of friction between the ladder and the floor is µs. A man of weight W climbs up the ladder. Show that the maximum distance s he can climb before the ladder slips is given by s=µ„Ltan8.arrow_forward
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