A 0.20 kg horizontal beam has length L=0.8 m. It is supported by a fulcrum at d=0.55 m from the left end. A 0.15 kg mass ml is suspended at xl=0.15 m from the bar's left end. Another mass mr is suspended at xr=0.65 m from the bar's left end. The system is in equilibrium. How heavy in kg is the mass mr on the right side? Hint: the bar's gravity has a torque if it is not supported by the fulcrum at exactly half way.

A 0.20 kg horizontal beam has length L=0.8 m. It is supported by a fulcrum at d=0.55 m from the left end. A 0.15 kg mass ml is suspended at xl=0.15 m from the bar's left end. Another mass mr is suspended at xr=0.65 m from the bar's left end. The system is in equilibrium. How heavy in kg is the mass mr on the right side? Hint: the bar's gravity has a torque if it is not supported by the fulcrum at exactly half way.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.4P: The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the...

See similar textbooks

Similar questions

The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the ladder itself. Each ladder rail (t5= 4 mm) is supported by a shoe (ts= 5 mm) that is attached to the ladder rail by a bolt of diameter d = 8 mm
Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.
A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30 cm) and a vertical arm BC (length c = 20 cm) pivoted at point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer at C is controlled by two parallel springs, each having a spring constant k = 3650 N/m. that are attached to a threaded rod. The pitch of the threads is p = 1.5 mm. If the weight is 65 N. how many revolutions of the nut are required to bring the pointer back to the mark?
Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.
A crane boom of mass 450 leg with its center of mass at C is stabilized by two cables AQ and BQ (Ae= 304 mm2 for each cable) as shown in the figure. A load P = 20 KN is supported at point D. The crane boom lies in the y-z plane. (a) Find the tension forces in each cable: TAQand TBQ(kN}. Neglect the mass of the cables, but include the mass of the boom in addition to load P. (b) Find the average stress (s) in each cable.
A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and outer diameters are d1= 3 ft and d2= 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork.
A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?
Solve the preceding problem if the collar has mass M = 80 kg, the height h = 0.5 m, the length L = 3.0 m, the cross-sectional area A = 350mm2. and the modulus of elasticity E = 170 GPa.
The bent rod of negligible weight is supported by the ball-and-socket joint at B and the cables attached to points A and C. Find the forces in the cables and the magnitude of the reaction at B. Dimensions Figure P.5.39
nonuniform beam 4.50 m long and weighing 1.40 kNmakes an angle of 25.0° below the horizontal. It is held in position bya frictionless pivot at its upper right end and by a cable 3.00 m fartherdown the beam and perpendicular to it . The center ofgravity of the beam is 2.00 m down the beam from the pivot. Lightingequipment exerts a 5.00 kN downward force on the lower left end ofthe beam. Find the tension T in the cable and the horizontal and verticalcomponents of the force exerted on the beam by the pivot. Start bysketching a free-body diagram of the beam.
A 27‑kg sing is attached to the right end of a horizontal beam (the beam's mass m = 7.7 kg). The left end of the beam is mounted into a wall and it's right end is supported by a string which makes an angle θ = 32° with the beam, see the picture below. Find the magnitude of the tension in the string. 1. The tension in the string, T Find the reaction force exerted by the wall on the beam. 2. The x component of the wall's reaction force, Rx = 3. The y component of the wall's reaction force, Ry =
The system in the Figure is in equilibrium. A mass M1 = 246.0 kg hangs from the end of a uniform strut which is held at an angle theta = 40.0o with respect to the horizontal. The cable supporting the strut is at angle alpha = 24.4o with respect to the horizontal. The strut has a mass of 58.2 kg. Find the magnitude of the tension T in the cable. Find the magnitude of the horizontal component of the force exerted on the strut by the hinge? Find the magnitude of the vertical component of the force exerted on the strut by the hinge?