A uniform beam of mass 20 kg is suspended horizontally by a wall at one end and a cable that makes an angle of 0= 30° with the beam at the other end. The cable can sustain a maximum tension of 300 N before it breaks. a) What is the farthest distance from the wall (x) that a 10 kg mass can be suspended without the upper cable breaking? b) When x has this value what is the force exerted by the wall onto the beam?

A uniform beam of mass 20 kg is suspended horizontally by a wall at one end and a cable that makes an angle of 0= 30° with the beam at the other end. The cable can sustain a maximum tension of 300 N before it breaks. a) What is the farthest distance from the wall (x) that a 10 kg mass can be suspended without the upper cable breaking? b) When x has this value what is the force exerted by the wall onto the beam?

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 78PQ: A massless, horizontal beam of length L and a massless rope support a sign of mass m (Fig. P14.78)....

See similar textbooks

Similar questions

A 20.0-kg horizontal plank 4.00 in long rests on two supports, one at the left end and a second 1.00 m from the right end. What is the magnitude of the force exerted on the plank by the support near the right end? (a) 32.0 N (b) 45.2 N (c) 112 N (d) 131 N (e) 98.2 N
At a museum, a 1300-kg model aircraft is hung from a lightweight beam of length 12.0 m that is free to pivot about its base and is supported by a massless cable (Fig. P14.38). Ignore the mass of the beam. a. What is the tension in the section of the cable between the beam and the wall? b. What are the horizontal and vertical forces that the pivot exerts on the beam? FIGURE P14.38 (a) From the free-body diagram, the angle that the string tension makes with the beam is = 55.0 + 18.0 = 73.0, and the perpendicular component of the string tension is FT sin73.0. Summing torques around the base of the rod gives (Eq. 14.2): =0:(12.0m)(1300kg)(9.81m/s2)cos55.0+FT(12.0m)sin73.0=0FT=(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0FT=7.65103N Figure P14.38ANS (b) Using force balance (Eq. 14.1): Fx=0:FHFTcos18.0=0FH=FTcos18.0=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]cos18.0=7.27103NFy=0:FVFTsin18.0(1300kg)(9.81m/s2)=0 FV=FTsin18.0+(1300kg)gFV=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]sin18.0+(1300kg)(9.81m/s2)FV=1.51104N
A massless, horizontal beam of length L and a massless rope support a sign of mass m (Fig. P14.78). a. What is the tension in the rope? b. In terms of m, g, d, L, and , what are the components of the force exerted by the beam on the wall? FIGURE P14.78
The uniform slender rod of mass m is suspended by a ball-and-socket joint at Oand two cables. Determine the force reactions at O and the tension in each cable. 0.9 m 0.4 m 0.4 m /28° A. B. OB = 1.2 m, OA = 1.0 m %3D Answer: k) mg Fo-(i TAC mg Teo mg eTextbook and Media GO Tutorial
4. A uniform beam of mass m, and length L is supported as shown below. There is a pin in theb bottom end of the beam and a mass of mass m, hanging from the top end of the beam. Find the magnitude of the tension in the wire attaching the beam to the ground and force from the pin on the beam.
In the figure below, the horizontal boom is uniform and has the same weight as the hanging weight at its end. The boom is supported by the cable with a tension T. The angle between the boom and the cable is 30°. What is the magnitude of horizontal force Fx exerted by the wall on the boom? Fy Fx W
A uniform drawbridge must be held at a 37° angle abovethe horizontal to allow ships to pass underneath. The drawbridge weighs45,000 N and is 14.0 m long. A cable is connected 3.5 m from thehinge where the bridge pivots (measured along the bridge) and pullshorizontally on the bridge to hold it in place. What is the tension in the cable?
1( End A of horizontal slender rod AB presses against a rough vertical wall because it is supported by cord BC that makes angle 0 with the rod. The rod has length L, weight W, and is of uniform composition. What is the minimum value of the coefficient of static friction u that will maintain the rod in equilibrium? C A) tan 0 (cos 0)? C) D) sin O tan 0 -sin Lsin e W L
A beam of weight 1500 N is hinged at one end to the wall. The beam makes an angle of 37° with the wall. Its other end is attached to the wall with a cable making an angle of 53° with the wall. a) Find the tension in the cable. b) Find the magnitude of the force at the hinge. उने T 53 37% V12
A large advertisement board (W) is held in position by cable F1, with a breaking strength of 1500 N and a wooden strut F2 with a breaking of 750 N. Calculate the maximum weight the board can hold.
5. An object weighing 255 N is supported by a uniform 130 N horizontal beam as shown in the figure. The length of the beam is 2.00 m and the distance (x) is 1.55 m. Find the tension in the guy wire that is connected to the wall if the angle 8 = 39º. @ 2 W S X میر 3 E D C N C R F G Search or type URL 96 5 T 6 MacBook Pro B Y H 7 N U J 8 M I CEEH!! ZEEL 9 K 36 < O . O L command P . : 6₁ ; { option [. ? 1
The walkway ABC of the footbridge is stiffened by adding the cable ADC and the short post of length L. If the tension in the cable is not to exceed 420 lb, what is the smallest value of L for which the 160-lb person can be supported at B?