A man weighing 600 N is using a ladder to fix the light bulb. If the position of the ladder is as shown in Figure, determine the minimum value of coefficient of friction between the ladder and the floor, for the ladder to remain in position.
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A man weighing 600 N is using a ladder to fix the light bulb. If the position of the ladder is as shown in Figure, determine the minimum value of coefficient of friction between the ladder and the floor, for the ladder to remain in position.
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- A ladder leans against a wall 5 meters above the ground so a homeowner can clear his gutters of leaves from last fall. The bottom of the ladder just begins to slip when it is 6.6 meters from the wall. What is the coefficient of static friction between the bottom of the ladder and the ground?A uniform plank of length 2.00 m and mass 34.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 695-N person is d = 0.500 m from the left end. magnitude of N magnitude of T N magnitude of N T₂4 7,44 2.00 m T. 40.0⁰ QAn initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1170 N. The coefficient of static friction between the box and the floor is 0.400. (a) What should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation?
- A 5.0 kg mass hangs vertically from a rope wound around a pulley, as shown in the figure. The other end of the rope is tied to a 12 kg mass sitting on the horizontal surface. Find the coefficient of static friction between the second mass and the surface it sits on, given that the mass is on the verge of slipping. Assume that the mass of the pulley is negligible.A 200 N sign hangs from the middle of a cable between two buildings. The ends of each cable are attached to each building at the same height. The cable cannot exceed 1500 N without breaking. Find the minimum angle that the cable can make from the horizontal.A toddler weighs 10 kg and raises herself onto tiptoe (on both feet). Her feet are 8 cm long with each ankle joint being located 4.5 cm from the point at which her feet contact the floor. While standing on tip toe: (a) what is the upward normal force exerted by the floor at the point at which one of the toddler’s feet contacts the floor? (b) what is the tension force in one of her Achilles tendons? (c) what is the downward force exerted on one of the toddler’s ankle joints?
- A rigid, vertical rod with a mass of 2.7 kg simply rests on the floor and is held in place by static friction. The coefficient of static friction between the rod and the floor is 1/6. The rod also has a wire connected between its top end and the floor, as shown in the figure. A horizontal force F is applied at the midpoint of the rod. F Æ 45° Find the greatest force F that can be applied at the midpoint of the rod without causing it to slip. NA ladder leans against a wall 5 meters above the ground so a homeowner can clear his gutters of leaves from last fall. The bottom of the ladder just begins to slip when it is 7.1 meters from the wall. What is the coefficient of static friction between the bottom of the ladder and the ground?A 10 N ball is supported by an incline and a cable making an angle a with the vertical direction. Knowing the force in the cable equal to 5 N, determine the angle a and the force exerted by the ball on the incline. Consider the ball as a particle.
- One end of a uniform 4.40-m-long rod of weight F is supported by a cable at an angle of 0 = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.465. Determine the minimum distance x from point A at which an additional object, also with the same weight F, can be hung without causing the rod to slip at point A. A 0 B X You will need to work with the equations F net = 0 and 7 = 0 and manipulate the equations symbolically to solve for the distance. m netIf the coefficient of static friction is 0.396, and the same ladder makes a 57.0° angle with respect to the horizontal, how far along the length of the ladder can a 65.9-kg painter climb before the ladder begins to slip? mA 0.237 kg book rests at an angle against one side of a bookshelf. The magnitude and direction of the total force exerted on the book by the left side of the bookshelf are given by |FL| = 1.01N θL=63.0° What must the magnitude |FB| and direction θB of the total force exerted on the book by the bottom of the bookshelf be in order for the book to remain in this position?