Two vertical walls are separated by a distance of 150 cm. Wall 1 is smooth, while wall 2 is not. A uniform board is propped between the walls. The coefficient of static friction between the board and wall 2 is 0.98. What is the longest board (in cm) that can be propped between the walls? Write the complete solution with given.
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- A 10 m long uniform board weighing 400 N is supported by ropes at each end. A worker weighing 900 N stands 3.0 m from the rope on the left. Determine the tension in the two ropes for static equilibrium.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 uniform beam of length L and mass M has its lower end pivoted at P on the floor, making an angle θ with the floor. A horizontal cable is attached at its upper end B to a point A on a wall. A box of mass M is suspended from a rope that is attached to the beam one-fourth L from its upper end. a)Write an expression for the tension T in the horizontal cable AB. b)What is the tension in the horizontal cable, in newtons, if the mass of the beam is 48 kg, the length of the beam is 15 m, and the angle is 22°?
- A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. N2 mg Since the floor is rough, it exerts both a normal force N, and a frictional force f, on the ladder. However, since the wall is frictionless, it exerts only a normal force N, on the ladder. The ladder has a length of L = 4.7 m, a weight of W, = 64.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90 kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 N2 f, = N (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N2 N.Chapter 12, Problem 037 GO In the figure, a uniform plank, with a length L of 6.83 m and a weight of 386 N, rests on the ground and against a frictionless roller at the top of a wall of height h = 2.78 m. The plank remains in equilibrium for any value of e = 70.0° or more, but slips if e < 70.0°. Find the coefficient of static friction between the plank and the ground. Roller Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show WorkA 740 N bear is standing on a metal plank supported by the cable shown in the figure. At the end of the plank hangs a basket weighing 80 N. Assume the plank is uniform, weighs 200 N, is 5.50 m long, and 0 = 60.0°. Goodies (a) When the bear is at x = 1.10 m, find the tension in the cable supporting the plank and the components of the force exerted by the wall on the left end of the plank. (Enter the magnitudes of your answers in N.) T = F = F = N N N (b) If the cable can withstand a maximum tension of 875 N, what is the maximum distance (in m) the bear can walk before the cable breaks? (Measure this distance from the wall.) m
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