University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 11, Problem 11.58P
CP A uniform drawbridge must be held at a 37° angle above the horizontal to allow ships to pass underneath. The draw-bridge weighs 45,000 N and is 14.0 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, (a) What is the tension in the cable? (b) Find the magnitude and direction of the force the hinge exerts on the bridge, (c) If the cable suddenly breaks, what is the magnitude of the
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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)?
A uniform drawbridge must be held at a 36.5 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 14.0 m long, and pivots about a hinge at its lower end. A cable is connected 4.00 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place.
A)
What is the tension in the cable?
Express your answer in newtons.
B)
Find the magnitude of the force the hinge exerts on the bridge.
Express your answer in newtons.
C)
Find the direction of the force the hinge exerts on the bridge.
Express your answer in degrees.
D)
If the cable suddenly breaks, what is the initial angular acceleration of the bridge?
Express your answer in radians per second squared.
A uniform 22 kg beam, 3.0 m long, is attached to a wall on the left by a hinge, and is supported by a cable on its right end. A 13 kg monkey hangs from the beam, 1.0 m from the left end.
a) Determine the tension in the cable.
b) Determine the magnitude of the force due to the hinge on the beam.
Chapter 11 Solutions
University Physics (14th Edition)
Ch. 11 - Does a rigid object in uniform rotation about a...Ch. 11 - (a) Is it possible for an object to be in...Ch. 11 - Prob. Q11.3DQCh. 11 - Does the center of gravity of a solid body always...Ch. 11 - Prob. Q11.5DQCh. 11 - You are balancing a wrench by suspending it at a...Ch. 11 - You can probably stand flatfooted on the floor and...Ch. 11 - Prob. Q11.8DQCh. 11 - An object consists of a ball of weight W glued to...Ch. 11 - Prob. Q11.10DQ
Ch. 11 - Prob. Q11.11DQCh. 11 - In pioneer days, when a Conestoga wagon was stuck...Ch. 11 - The mighty Zimbo claims to have leg muscles so...Ch. 11 - Why is it easier to hold a 10-kg dumbbell in your...Ch. 11 - Certain features of a person, such as height and...Ch. 11 - During pregnancy, women often develop back pains...Ch. 11 - Why is a tapered water glass with a narrow base...Ch. 11 - Prob. Q11.18DQCh. 11 - A uniform beam is suspended horizontally and...Ch. 11 - If a metal wire has its length doubled and its...Ch. 11 - A metal wire of diameter D stretches by 0.100 mm...Ch. 11 - Prob. Q11.22DQCh. 11 - The material in human bones and elephant bones is...Ch. 11 - There is a small bui appreciable amount of elastic...Ch. 11 - When rubber mounting blocks are used to absorb...Ch. 11 - A 0.120-kg. 50.0-cm-long uniform bar has a small...Ch. 11 - Prob. 11.2ECh. 11 - A uniform rod is 2.00 m long and has mass 1.80 kg....Ch. 11 - A uniform 300-N trapdoor in a floor is hinged at...Ch. 11 - Raising a Ladder. A ladder carried by a fire truck...Ch. 11 - Two people are carrying a uniform wooden board...Ch. 11 - Two people carry a heavy electric motor by placing...Ch. 11 - A 60.0-cm. uniform. 50.0-N shelf is supported...Ch. 11 - A 350-N, uniform. 1.50-m bar is suspended...Ch. 11 - A uniform ladder 5.0 m long rests against a...Ch. 11 - A diving board 3.00 m long is supported at a point...Ch. 11 - A uniform aluminum beam 9.00 m long, weighing 300...Ch. 11 - Find the tension T in each cable and the magnitude...Ch. 11 - The horizontal beam in Fig. E11.14 weighs 190 N....Ch. 11 - The boom shown in Fig. E11.15 weighs 2600 N and is...Ch. 11 - Suppose that you can lift no more than 650 N...Ch. 11 - A 9.00-m-long uniform beam is hinged to a vertical...Ch. 11 - A 15,000-N crane pivots around a friction-free...Ch. 11 - A 3.00-m-long. 190-N, uniform rod at the zoo is...Ch. 11 - A nonuniform beam 4.50 m long and weighing 1.40 kN...Ch. 11 - A Couple. Two forces equal in magnitude and...Ch. 11 - BIO A Good Workout. You are doing exercises on a...Ch. 11 - BIO Neck Muscles. A student bends her head at 40.0...Ch. 11 - BIO Biceps Muscle. A relaxed biceps muscle...Ch. 11 - A circular steel wire 2.00 m long must stretch no...Ch. 11 - Two circular rods, one steel and the other copper,...Ch. 11 - A metal rod that is 4.00 m long and 0.50 cm2 in...Ch. 11 - Stress on a Mountaineers Rope. A nylon rope used...Ch. 11 - In constructing a large mobile, an artist hangs an...Ch. 11 - A vertical, solid steel post 25 cm in diameter and...Ch. 11 - BIO Compression of Human Bone. The bulk modulus...Ch. 11 - A solid gold bar is pulled up from the hold of the...Ch. 11 - A specimen of oil having an initial volume of 600...Ch. 11 - In the Challenger Deep of the Marianas Trench, the...Ch. 11 - A copper cube measures 6.00 cm on each side. The...Ch. 11 - A square steel plate is 10.0 cm on a side and...Ch. 11 - In lab tests on a 9.25-cm cube of a certain...Ch. 11 - A brass wire is to withstand a tensile force of...Ch. 11 - In a materials testing laboratory, a metal wire...Ch. 11 - A 4.0-m-long steel wire has a cross-sectional area...Ch. 11 - CP A steel cable with cross-sectional area 3.00...Ch. 11 - A door 1.00 m wide and 2.00 m high weighs 330 N...Ch. 11 - A box of negligible mass rests at the lett end of...Ch. 11 - Sir Lancelot rides slowly out of the castle at...Ch. 11 - Mountain Climbing. Mountaineers often use a rope...Ch. 11 - A uniform, 8.0-m, 1150-kg beam is hinged to a wall...Ch. 11 - A uniform, 255.N rod that is 2.00 m long carries a...Ch. 11 - A claw hammer is used to pull a nail out of a...Ch. 11 - You open a restaurant and hope to entice customers...Ch. 11 - End A of the bar AB in Fig. P11.50 rests on a...Ch. 11 - BIO Supporting a Broken Leg. A therapist tells a...Ch. 11 - A Truck on a Drawbridge. A loaded cement mixer...Ch. 11 - BIO Leg Raises. In a simplified version of the...Ch. 11 - BIO Pumping Iron. A 72.0-kg weightlifter doing arm...Ch. 11 - Prob. 11.55PCh. 11 - You are asked to design the decorative mobile...Ch. 11 - A uniform, 7.5-m-long beam weighing 6490 N is...Ch. 11 - CP A uniform drawbridge must be held at a 37 angle...Ch. 11 - BIO Tendon-Stretching Exercises. As part of an...Ch. 11 - (a) In Fig. P11.60 a 6.00-m-loog, uniform beam is...Ch. 11 - A uniform, horizontal flagpole 5.00 m long with a...Ch. 11 - A holiday decoration consists of two shiny glass...Ch. 11 - BIO Downward-Facing Dog. The yoga exercise...Ch. 11 - A uniform metal bar that is 8.00 m long and has...Ch. 11 - A worker wants to turn over a uniform. 1250-N,...Ch. 11 - One end of a uniform meter stick is placed against...Ch. 11 - Two friends are carrying a 200-kg crate up a...Ch. 11 - BIO Forearm. In the human arm, the forearm and...Ch. 11 - BIO CALC Refer to the discussion of holding a...Ch. 11 - In a city park a nonuniform wooden beam 4.00 m...Ch. 11 - You are a summer intern for an architectural firm....Ch. 11 - You are trying to raise a bicycle wheel of mass m...Ch. 11 - The Farmyard Gate. A gate 4.00 m wide and 2.00 m...Ch. 11 - If you put a uniform block at the edge of a table,...Ch. 11 - Two uniform, 75.0-g marbles 2.00 cm in diameter...Ch. 11 - Two identical, uniform beams weighing 260 N each...Ch. 11 - An engineer is designing a conveyor system for...Ch. 11 - A weight W is supported by attaching it to a...Ch. 11 - A garage door is mounted on an overhead rail (Fig....Ch. 11 - Pyramid Guilders. Ancient pyramid builders are...Ch. 11 - CP A 12.0-kg mass, fastened to the end of an...Ch. 11 - Hookes Law for a Wire. A wire of length l0 and...Ch. 11 - A 1.05-m-long rod of negligible weight is...Ch. 11 - CP An amusement park ride consists of...Ch. 11 - CP BIO Stress on the Shin Bone. The compressive...Ch. 11 - DATA You are to use a long, thin wire to build a...Ch. 11 - Prob. 11.87PCh. 11 - DATA You are a construction engineer working on...Ch. 11 - Two ladders, 4.00 m and 3.00 m long, are hinged at...Ch. 11 - Knocking Over a Post. One end of a post weighing...Ch. 11 - CP An angler hangs a 4.50-kg fish from a vertical...Ch. 11 - BIO TORQUES AND TUG-OF-WAR. In a study of the...Ch. 11 - If he leans slightly farther back (increasing the...Ch. 11 - BIO TORQUES AND TUG-OF-WAR. In a study of the...Ch. 11 - BIO TORQUES AND TUG-OF-WAR. In a study of the...
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- 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.arrow_forwardProblems 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.arrow_forwardAn aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?arrow_forward
- A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.arrow_forwardCheck Your Understanding A 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 600.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut.arrow_forwardA 5.45-N beam of uniform density is 1.60 m long. The beam is supported at an angle of 35.0 by a cable attached to one end. There is a pin through the other end of the beam (Fig. P14.30). Use the values given in the figure to find the tension in the cable. FIGURE P14.30arrow_forward
- 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=1.51104Narrow_forwardA steel cable 2.00 m in length and with cross-sectional radius 0.350 mm is used to suspend from the ceiling a 10.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.00 rad/s. What is the strain produced in the cable?arrow_forwardA 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 P14.78arrow_forward
- A uniform 22 kg beam, 3.0 m long, is attached to a wall on the left by a hinge, and is supported by a cable on its right end. A 13 kg monkey hangs from the beam, 1.0 m from the left end. a) Determine the tension in the cable. b) Determine the magnitude of the force due to the hinge on the beam.arrow_forwardA safe mass M = 430kg hangs by a rope from a boom has a mass m = 85kg. Find the tension T, in the cable and the magnitude of the net force exerted on the beam by the hinge. Cable Rope (a) Hinge Beam comarrow_forwardA 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% V12arrow_forward
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