Explanation Introduction: Torque is the moment of force that tends to cause rotation in an object. If F is the force applied perpendicular to the axis of rotation at a distance of r then the magnitude of torque is given by, τ = F × r Let the bar having length L and weight W , a ball glued at the one end of the bar and the bar is placed at the 60 ° angle, the weight of the bar will act normal to the plane at the position L 2 and the bar is released at the point P. Consider the free body diagram, Figure I The bar and the ball each have two components of their weights along the plane of bar and normal to the plane of bar. The resultant torque in the bar will be due to the normal components only. The normal component of weight of the bar is, W n = W cos 60 ° The normal component of weight of the ball is, W bn = W cos 60 ° Consider anticlockwise direction as positive direction. Formula to calculate the resultant torque is, τ = W n × L 4 − W bn × L 4 Substitute W cos 60 ° for W n and W cos 60 ° for W bn to find τ . τ = W cos 60 ° × L 4 − W cos 60 ° × L 4 = 0 As the resultant torque is zero therefore, it will not rotate about its center of gravity until it is vertical with the ball at the bottom. Conclusion: Hence, choice (a) is not correct. Let the bar having length L and weight W , a ball glued at the one end of the bar and the bar is placed at the 60 ° angle, the weight of the bar will act normal to the plane at the position L 2 and the bar is released at the point P. Consider the free body diagram, Figure I The bar and the ball each have two components of their weights along the plane of bar and normal to the plane of bar. The resultant torque in the bar will be due to the normal components only. The normal component of weight of the bar is, W n = W cos 60 ° The normal component of weight of the ball is, W bn = W cos 60 ° Consider anticlockwise direction as positive direction. Formula to calculate the resultant torque is, τ = W n × L 4 − W bn × L 4 τ is the resultant torque. Substitute W cos 60 ° for W n and W cos 60 ° for W bn to find τ . τ = W cos 60 ° × L 4 − W cos 60 ° × L 4 = 0 As the resultant torque is zero therefore, it will not rotate about its center of gravity until it is vertical with the ball at the bottom

University Physics with Modern Physics (14th Edition)

14th Edition

ISBN: 9780321973610

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Chapter 11 Solutions

University Physics with Modern Physics (14th Edition)

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. 11.3DQ Ch. 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. 11.8DQ Ch. 11 - An object consists of a ball of weight W glued to...Ch. 11 - Prob. 11.10DQ Ch. 11 - Prob. 11.11DQ Ch. 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. 11.18DQ Ch. 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. 11.22DQ Ch. 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. 11.2E Ch. 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. 11.55P Ch. 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. 11.87P Ch. 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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Solution Summary: The author explains that torque is the moment of force that tends to cause rotation in an object.

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