1. a) A 4.2 m long beam (m1 = 35 kg) is attached to a wall by a hinge as shown. A light horizontal rope is tied 1.4 m from one end of the beam to keep the beam at rest and to make sure it doesn't turn. A sign (m2 = 15 kg) is bolted to the end of the beam. Find the tension in the rope and the force the hinge exerts on the beam. Vertical wall 1.4 m Horizontal rope Sign 60° beam Hinge

1. a) A 4.2 m long beam (m1 = 35 kg) is attached to a wall by a hinge as shown. A light horizontal rope is tied 1.4 m from one end of the beam to keep the beam at rest and to make sure it doesn't turn. A sign (m2 = 15 kg) is bolted to the end of the beam. Find the tension in the rope and the force the hinge exerts on the beam. Vertical wall 1.4 m Horizontal rope Sign 60° beam Hinge

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 34P: In order to get his car out of the mud, a man ties one end of a rope to the front bumper and the...

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Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.
A uniform horizontal strut weighs 400.0 N. One end of the strut is attached to a hinged support the wall and the other end of the strut is attached to a sign that weighs 200.0 N The strut is also supported by a cable attached between the end of the strut and the wall. Assuming that the entire weight of the sign is attached at the very end of the s find the tension in the cable and the force at the hinge of the strut.
In order to get his car out of the mud, a man ties one end of a rope to the front bumper and the other end to a tee 15 m away as shown below. He then pulls on the center of the rope with a force of 400 N, which causes its center to be displaced 0.30 m, as shown. What is the force of the rope on the car?
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 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
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
1. a) A 4.2 m long beam (m1 horizontal rope is tied 1.4 m from one end of the beam to keep the beam at rest and to make sure it doesn't turn. A sign (m2 = 15 kg) is bolted to the end of the beam. Find the tension in the rope and the force the hinge exerts on the beam. = 35 kg) is attached to a wall by a hinge as shown. A light Vertical wall 1.4 m Horizontal rope Sign 60° beam Hinge
A horizontal 12.5 kg beam 2.2 m long is attached to the wall by a hinge at its left end. A cable is connected from the right end of the beam to the wall, at an angle of 26 ° above the beam, as shown below. A 60 kg sign is hung 1.7 m from the left end of the beam. Part A Find the tension in the cable. Part B Find the horizontal force exerted on the wall by the hinge. Part C Find the vertical force exerted on the wall by the hinge
A shelf bracket is mounted on a vertical wall by a single screw. S S2 S1 Neglecting the weight of the bracket, and if s = 6.4 cm, s1 the horizontal force component exerted on the bracket by the screw when a 95.2 N vertical force is applied as shown. Imagine that the bracket is slightly loose. 5.4 cm and s2 = 2.2 cm, find =
A uniform horizontal beam with a length of 8 m and a weight of 200 N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of 53° with the beam. If a 600-N person stands 2 m from the wall. What is the tension in the cable? 53.0% 8.00 m OA. 410 N OB. None OC. 313 N D. 196 N E. 502 N
A uniform horizontal beam with a length of 8 m and a weight of 200 N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of 53° with the beam. If a 600-N person stands 2 m from the wall. What is the tension in the cable? 53.0% 8.00 m O A. 502 N O B. 410 N O C. 196 N D. None O E. 313 N
A uniform drawbridge must be held at a 38o angle above the horizontal to allow ships to pass underneath. The drawbridge weights 55000 N and is 15.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place. What is the tension in the cable? Find the magnitude and direction of the force the hinge exerts on the bridge. If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? What is the angular speed of the drawbridge as it becomes horizontal? What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?