A horizontal rod of length 429 cm is held aloft by friction against a brick wall on one end and on the other end by a rope of length 584 cm, which itself is attached to the brick wall directly above where the rod touches the wall. The coefficient of static friction between the wall and the rod is 0.458. A ball of the same weight as the rod hangs from the rod. Find What is the minimum distance ball must hang from the wall in order to the rod to stay stable?

A horizontal rod of length 429 cm is held aloft by friction against a brick wall on one end and on the other end by a rope of length 584 cm, which itself is attached to the brick wall directly above where the rod touches the wall. The coefficient of static friction between the wall and the rod is 0.458. A ball of the same weight as the rod hangs from the rod. Find What is the minimum distance ball must hang from the wall in order to the rod to stay stable?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 64PQ: A One end of a metal rod of weight Fg and length L presses against a corner between a wall and the...

See similar textbooks

Similar questions

A 3-meter rod with a weight of 1000 N is suspended by two cables and has a large box(3500N in weight ) tied to the right-hand side hanging vertically. The center of mass of the rod is .5min from the leftmost edge. One cable is exactly on the leftmost end of the rod with a tension of4000 N at an angle of 30 degrees to the rod . The second cable is 1 m to the right of the center ofmass and has an unknown tension. What is the tension in the second cable and what angledoes it make with the rod? You must draw a diagram so I can understand your answer.
a thin horizontal bar AB of negligible weight and length L is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle u with the horizontal. A block of weight W can be moved anywhere along the bar; its position is defined by the distance x from the wall to its center of mass. As a function of x, 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.
A man weighing 400 N climbs up a ladder 5 meters long. The ladder initially rests against a frictionless vertical wall and at 58 degrees above a rough floor with static friction coefficient of 0.25. Determine the location of the man that will cause the ladder to slide down. What is the magnitude and direction of the net force acting on the ladder at the floor?
A uniform horizontal beam 10.0 m long and a mass of 82 kg is attached to support cables on either end. The cable on the left end makes an angle of 120 with x-axis and the cable on the right end makes an angle of 30̊ with the x-axis. If a person of mass 82 kg stands 7 m from the right end, find (a) the magnitude of the tensions TL and TR in the cables.
In the figure, horizontal scaffold 2, with uniform mass m2 = 29 kg and length L2 = 2.3 m, hangs from horizontal scaffold 1, with uniform mass m1 = 54 kg. A 17 kg box of nails lies on scaffold 2, centered at distance d = 0.80 m from the left end. What is the tension T in the cable indicated?
A uniform plank of length 2.00 m and mass 31.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 715–N person is d = 0.500 m from the left end. magnitude of T1 N magnitude of T2 N magnitude of T3 N
Suppose three forces with magnitudes of 198 N, 275 N, and 205 N are placed in equilibrium. If the 205-N force acts in the +y-direction, what is one of the two configurations in the xy-plane that the remaining forces may have? Give numerical values for the angles.
A sphere of mass m= 2kg is in equilibrium tied to two strings as indicated in the figure. Find the tension T and the angle A of the rope hanging from the ceiling if the tension of the rope attached to the side wall is T = 4N. Consider g= 10m / s2.
Determine the magnitude P of the vertical force required to lift the wheelbarrow free of the ground at point B. The combined weight of the wheelbarrow and its load is 200 lb with center of gravity at G. 11.13 lb 13.11 lb 31.11 lb 33.13 lb
Forces F1, F2, and F3 act on the structure depicted in the figure, shown in an overhead view. We wish to put the structure in equilibrium by applying a force, at a point such as P located a distance d from F1, whose vector components are Fh and Fv. We are given that a = 2.1 m, b = 2.6 m, C = 1.15 m, F1 = 18.05 N, F2 = 11.05 N, and F3 = 4.85 N.Find Fh.
a 50.0 kg uniform square sign, of edge length L=2.00m, is hung from a horizontal rod of length dh = 3.00 m and negligible mass. A cable is attached to the end of the rod and to a point on the wall at distance dv = 4.00 m above the point where the rod is hinged to the wall. (a) What is the tension in the cable? What are the (b) magnitude and (c) direction (left or right) of the horizontal component of the force on the rod from the wall, and the (d) magnitude and (e) direction (up or down) of the vertical component of this force?
A 15 kg monkey climbs a uniform ladder with weight 1.2 *10^2 N and length L=3.00 m. The ladder rests against the wall and makes an angle of theta= 60.0 degrees with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope. HInt : Draw a force diagram for the ladder and the normal forces from the ground and wall acting on the ladder. A) find the tension in the rope when the monkey is two-thirds of the way up the ladder. B) The rope is frayed and can support a maximum tension of only 80N. Find the maximum distance that the monkey can climb up the ladder before the rope breaks. C) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem change? What other information would you need to answer parts (a) and (b)