Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 39P
To determine
To Evaluate: The maximum angle θ for which the block will not slide on the incline.
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A uniform board is leaning against a smooth vertical wall. The board is at an angle θ above the horizontal ground. The coefficient of static friction between the ground and the lower end of the board is 0.650. Find the smallest value for the angle θ, such that the lower end of the board does not slide along the ground.
A 1.2-m plank of mass 3 kg rests on two joists. Knowing that the coefficient of static friction between the plank and the joists is 0.30,determine the magnitude of the horizontal force required to move the plank when (a) a= 750 mm, (b) a = 900 mm.
A uniform ladder of mass 35 kg and L=7m long is placed against a vertical wall at an angle of 68 degrees with respect to the floor. The coefficient of friction between the ladder and wall is 0.33 and that between the ladder and the floor is 0.48. Find how high a man of mass 84.5kg can ascend; before the ladder begins to slip.
Chapter 12 Solutions
Physics for Scientists and Engineers
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- A rectangular block twice as high as it is wide is resting on a board. The coefficient of static friction between board and incline is 0.63. If the board’s inclination angle is gradually increased, will the block first tip over or first begin sliding?arrow_forwardA uniform board is leaning against a smooth vertical wall. The board is at an angle above the horizontal ground. The coefficient of static friction between the ground and the lower end of the board is 0.890. Find the smallest value for the angle , such that the lower end of the board does not slide along the ground.arrow_forwarda 8-53.. A lantern of weight W is suspended at the end horizontal bar of weight w and length L that is supported by a cable that makes an angle with the side of a vertical wall. Assume the weight of the bar is at its center. (a) Derive an equation for the tension in the cable. (b) Calculate the tension in the cable for a bar of weight 28 N and length 1.5 m, plus a lantern of weight 85 N, and the cable making a 37° angle to the vertical. 40² Darrow_forward
- Help me pleasearrow_forwardA uniform ladder 18 ft long and weighing 120 lbs rests against a smooth wall. The angle between the ladder and the ground is 70°. The coefficient of friction between the ground and the ladder is 0.25. How far up the ladder can a 180 lb man walk before the ladder slips?arrow_forwardOne end of a 2.00 m uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle θ with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.530. What is the maximum value that θ can have if the stick is to remainin equilibrium?arrow_forward
- One end of a 2.00 m uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle θ with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.530. When θ = 16.5°, how large must the coefficient of static friction be so that the block can be attached 0.800 [m] from the left end of the stick without causing it to slip?arrow_forwardA 3.0-m-long ladder leans against a wall at an angle of 60° with respect to the floor. What is the minimum value of μs , the coefficient of static friction with the ground, that will prevent the ladder from slipping? Assume that friction between the ladder and the wall is negligible.arrow_forwardOne end of a uniform ℓ = 4.40-m-long rod of weight w is supported by a cable at an angle of ? = 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 ?s = 0.570. 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 A._______________________ marrow_forward
- Chapter 12, Problem 028 GO In the figure, suppose the length L of the uniform bar is 3.1 m and its weight is 240 N. Also, let the block's weight W = 270 N and the angle e = 41°. The wire can withstand a maximum tension of 420 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? Com (a) Number Units (b) Number Units (c) Number Unitsarrow_forwardChapter 12, Problem 028 GO In the figure, suppose the length L of the uniform bar is 2.7 m and its weight is 220 N. Also, let the block's weight W = 280 N and the angle 0 = 27°. The wire can withstand a maximum tension of 440 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? com A (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show Workarrow_forwardA 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_forward
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