Problem 8: A uniform stationary ladder of length L and mass Mleans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is u. The ladder makes an angle 0 with respect to the floor. A painter of weight 1/2M stands on the ladder a distance d from its base. L Part (a) Find an expression for the magnitude of the normal force N exerted by the floor on the ladder.
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- Chapter 12, Problem 034 In the figure, a thin horizontal bar AB of negligible weight and length L = 3.1 m is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle e = 42° with the horizontal. A block of weight W = 250 N can be moved anywhere along the bar; its position is defined by the distance x = 1.75 m from the wall to its center of mass. Find (a) the tension in the wire, and the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A. Com A B (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show WorkYou are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL. θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).A beam with length of 2 m and a mass of 10 kg supports a 50 kg box. The beam is connected to a wall by a hinge at its base and a horizontal wire. The wire is connected to the beam 1.5 m from the hinge and makes an angle θ of 35o to the beam. The goal is to find the tension in the wire and the horizontal and vertical components of the force exerted by the hinge on the board. A. In order to find the tension in the string, which point should we select to write ?(a)Top left end of the beam(b)Point where wire is connected to the beam.(c)Middle of the beam (where mg acts).Bottom right end of the beam(d) Use the point you identified in C to calculate the tension in the string.
- A 16.0-m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 57.0° angle with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.90 m along the ladder from the bottom. Horizontal force: magnitude direction Vertical force: magnitude direction towards the wall up N ✓✓ N (b) If the ladder is just on the verge of slipping when the firefighter is 8.70 m from the bottom, what is the coefficient of static friction between ladder and ground?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 7.1 meters from the wall. What is the coefficient of static friction between the bottom of the ladder and the ground?A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is µ = 0.385, determine the smallest angle the ladder can make with the floor without slipping.
- A 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.Problem 2: A uniform ladder of length I rests against a vertical wall with a coefficient of friction wall = 0.3. The mass of the ladder is m, and the coefficient of static friction between the ladder and the ground is μ floor = 0.40. Find the minimum angle Omin at which the ladder does not slip.There is this ladder with a length L = 3.5 m and mass M= 15 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. There is also static friction between floor and ladder is u = 0.47. The ladder makes an angle 0 = 55° with respect to the floor. A person of mass 8M stands on the ladder a distance d from its base. What is the magnitude of the normal force N, in newtons, exerted by the floor on the ladder? What is the largest distance up the ladder dmax, in meters, that the person can stand without the ladder slipping?
- A traffic light hangs from a pole as shown. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine A) the tension in the horizontal massless cable CD, and B) the magnitude of the force exerted by the pivot on the aluminum pole at point A. B C D 37° 3.80 m A 000Please help meOne end of a uniform ℓ = 4.50-m-long rod of weight w is supported by a cable at an angle of θ = 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 μs = 0.480. 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.