As shown in the figure below, a uniform beam of mass m and length L is inclined at an angle to the horizontal and held in place by a horizontal cord at the top and friction at the bottom. The coeficient of static friction between the beam and horizontal surface is , and the angle is such that the static friction force is at its maximum value. (a) Using the second condition of equilibrium, determine an expression for the tension Tin the rope in terms of m. g. and 8. (b) Using the first condition of equilibrium, find a second expression for T in terms of m, and g. (c) Using the foregoing results, determine an expression for the coefficient of static friction , in terms of only the angle 8.

As shown in the figure below, a uniform beam of mass m and length L is inclined at an angle to the horizontal and held in place by a horizontal cord at the top and friction at the bottom. The coeficient of static friction between the beam and horizontal surface is , and the angle is such that the static friction force is at its maximum value. (a) Using the second condition of equilibrium, determine an expression for the tension Tin the rope in terms of m. g. and 8. (b) Using the first condition of equilibrium, find a second expression for T in terms of m, and g. (c) Using the foregoing results, determine an expression for the coefficient of static friction , in terms of only the angle 8.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A uniform ladder weighing 490 N rests against a frictioniess wall. The ladder has a length L = 14.0 m and makes a 59.0° angle with the horizontal ground. An 820 N firefighter has climbed d = 4.20 m along the ladder from the bottom. Find the coefficient of static friction Hs between the ladder and the ground. O 0.863 O 0.225 O 0.119 O 0.332 O 0.567
A stepladder of negligible weight is constructed as shown with AC = BC = L. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find a) the tension in the horizontal bar DE connecting the two halves of the ladder, b) The normal forces at A and B and c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. (Suggestion: treat the ladder as a single object, but also treat each half of the ladder separately.) B
6) The system shown in in equilibrium. A mass of 225 kg hangs from theend of the strut, which is connected by a hinge to the ground and makes anangle of 45 degrees with the ground. The strut has a mass of 45.0 kg. Asupport cable is attached from a wall to the center of the strut and it makesan angle of 70 degrees with the vertical wall. a) Find the tension in the cable holding up the strut, which make anangle of 70 degrees with the wall. b) Find the horizontal and vertical forces exerted on the strut by the hinge.
A meter stick with a mass of 0.23 kg is held perpendicular to a vertical wall by a cord of length d = 5.3 m attached to the end of the meter stick and also to the wall above the other end of the meter stick. (a) Determine the tension in the cord. N (b) Will the tension in the cord will be greater than, less than, or the same as that found in part (a) if the string is shortened? O greater than O less than O the same as
A 6.0 m long ladder AB leans against a smooth wall making an angle of 60º with the floor (Figure 3). The ladder is uniform and has a mass of 20.0 kg.(a) Determine the forces exerted on the ladder by the floor and the wall (i.e. at A and B, respectively).(b) Determine the minimum value of the coefficient of static friction to prevent the ladder from slipping.
Determine whether the 15-kg block shown is in static equilibrium under the loadings shown, and report the magnitude of the friction force (in Newton) when P = 700 N and 0 = 47 degrees at the state of static equilibrium. The coefficients of static and kinetic friction between the block and the rough inclined surface are shown in the picture. Report the friction force as positive when it is directed downward, and negative when it is directed upwards. 500 N Hs=0.35 Mk = 0.25 35° Ꮎ
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?
The Ladder weighing 185 N is resting against a vertical wall as shown in the figure below. The top of the ladder (Point By s 14 m above the ground and the bottom making an angle of 60 degrees to the ground. The coefficient of static friction e between the ladder and the horizontal ground is 0.45 and with respect to the wall is 0.25. If s painter having a mass of 930 kg starts to climb the ladder. Determine the following: ta) Draw the free body diagram (b) How far up the painter will be reached S (meters) before the ladder starts to slip? B 60 lease answer in the space below and submit the complete solution in the provided link: Determine the Normal Force at Point A na= Determine the Normal Force at Point B nb= N Determine the distance S= meters
A scaffold of mass 71 kg and length 4.8 mis supported in a horizontal position by a vertical cable at each end. A window washer of mass 64 Kg stands at a point 2.4 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number Units
One end of a uniform { = 4.30-m-long rod of weight w is supported by a cable at an angle of 0 = 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 µ. = 0.490. 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. B Need Help? Read It Watch It
Needs Complete typed solution with 100 % accuracy.
A stick which is 1.51 meters long is leaned against a wall at an angle. If the coefficient of static friction between the stick and the wall and floor is 0.395, determine the furthest distance from the wall that the bottom of the stick may be placed without slipping.