UNIVERSITY PHYSICS UCI PKG
11th Edition
ISBN: 9781323575208
Author: YOUNG
Publisher: PEARSON C
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Chapter 11, Problem 11.52P
A Truck on a Drawbridge. A loaded cement mixer drives onto an old drawbridge, where it stalls with its center of gravity three-quarters of the way across the span. The truck driver radios for help, sets the handbrake, and waits. Meanwhile, a boat approaches, so the drawbridge is raised by means of a cable attached to the end opposite the hinge (Fig. P11.52). The draw-bridge is 40.0 m long and has a mass of 18.000 kg; its center of gravity is at its midpoint. The cement mixer, with driver, has mass 30,000 kg. When the drawbridge has been raised to an angle of 30° above the horizontal, the cable makes an angle of 70° with the surface of the bridge. (a) What is the tension T in the cable when the drawbridge is held in this position? (b) What are the horizontal and vertical components of the force the hinge exerts on the span?
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11.52 · A Truck on a Drawbridge. A loaded cement mixer
drives onto an old drawbridge, where it stalls with its center of
gravity three-quarters of the way across the span. The truck
driver radios for help, sets the handbrake, and waits. Meanwhile,
a boat approaches, so the drawbridge is raised by means of a cable
attached to the end opposite the hinge (Fig. P11.52). The draw-
bridge is 40.0 m long and has a mass of 18,000 kg; its center of
gravity is at its midpoint. The cement mixer, with driver, has mass
30,000 kg. When the drawbridge has been raised to an angle of
30° above the horizontal, the cable makes an angle of 70° with
the surface of the bridge. (a) What is the tension T in the cable
when the drawbridge is held in this position? (b) What are the
horizontal and vertical components of the force the hinge exerts
on the span?
Figure P11.52
70°
k100 m
40.0 m
30
Q10
A tire, which is mounted on a car, has a radius of 0.23m0.23m. A nail with a mass of 11.4g11.4g is stuck in the tread of the tire, and it is held there with a maximum frictional force of 0.53N0.53N. The car has been elevated on a mechanic lift so that the tire is no longer in contact with the pavement.
Part (a) What is the tire tread’s lowest tangential speed, in meters per second, at which the nail will pull free from the tire? (How does gravity affect the net force on the nail at various positions in the rotation of the tire.)
Part (b) At what tangential speed, in meters per second, would the nail pull free when it is at the top of the tire? (This is a mildly silly question because the nail would have already pulled free at some other point in the rotation.)
Chapter 11 Solutions
UNIVERSITY PHYSICS UCI PKG
Ch. 11.1 - Which situation satisfies both the first and...Ch. 11.2 - A rock is attached to the left end of a uniform...Ch. 11.3 - A metal advertising sign (weight w) for a...Ch. 11.4 - A copper rod of cross-sectional area 0.500 cm2 and...Ch. 11.5 - While parking your car, you accidentally back into...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. 11.3DQCh. 11 - Does the center of gravity of a solid body always...Ch. 11 - Prob. 11.5DQ
Ch. 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. 11.8DQCh. 11 - An object consists of a ball of weight W glued to...Ch. 11 - Prob. 11.10DQCh. 11 - Prob. 11.11DQCh. 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. 11.18DQCh. 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. 11.22DQCh. 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 - 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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