14th Edition

ISBN: 9780133969290

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Textbook Question

Chapter 5, Problem 5.111P

DATA You are an engineer working for a manufacturing company. You are designing a mechanism that uses a cable to drag heavy metal blocks a distance of 8.00 m along a ramp that is sloped at 40.0° above the horizontal. The coefficient of kinetic friction between these blocks and the incline is μ_k = 0.350. Each block has a mass of 2170 kg. The block will be placed on the bottom of the ramp, the cable will be attached, and the block will then be given just enough of a momentary push to overcome static friction. The block is then to accelerate at a constant rate to move the 8.00 m in 4.20 s. The cable is made of wire rope and is parallel to the ramp surface. The table gives the breaking strength of the cable as a function of its diameter; the safe load tension, which is 20% of the breaking strength; and the mass per meter of the cable:

Chapter 5, Problem 5.111P, DATA You are an engineer working for a manufacturing company. You are designing a mechanism that

Source: www.engineeringtoolbox.com

(a) What is the minimum diameter of the cable that can be used to pull a block up the ramp without exceeding the safe load value of the tension in the cable? Ignore the mass of the cable, and select the diameter from those listed in the table. (b) You need to know safe load values for diameters that aren’t in the table, so you hypothesize that the breaking strength and safe load limit are proportional to the cross-sectional area of the cable. Draw a graph that tests this hypothesis, and discuss its accuracy. What is your estimate of the safe load value for a cable with diameter 9 16 in.? (c) The coefficient of static friction between the crate and the ramp is μ_s = 0.620, which is nearly twice the value of the coefficient of kinetic friction. If the machinery jams and the block stops in the middle of the ramp, what is the tension in the cable? Is it larger or smaller than the value when the block is moving? (d) Is the actual tension in the cable, at its upper end, larger or smaller than the value calculated when you ignore the mass of the cable? If the cable is 9.00 m long, how accurate is it to ignore the cable’s mass?

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Chapter 5 Solutions

University Physics (14th Edition)

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Ch. 5 - In a world without friction, which of the...Ch. 5 - When you stand with bare feet in a wet bathtub,...Ch. 5 - You are pushing a large crate from the back of a...Ch. 5 - It is often said that friction always opposes...Ch. 5 - If there is a net force on a particle in uniform...Ch. 5 - A curve in a road has a bank angle calculated and...Ch. 5 - You swing a ball on the end of a lightweight...Ch. 5 - The centrifugal force is not included in the...Ch. 5 - A professor swings a rubber stopper in a...Ch. 5 - To keep the forces on the riders within allowable...Ch. 5 - A tennis ball drops from rest at the top of a tall...Ch. 5 - You throw a baseball straight upward with speed 0....Ch. 5 - You throw a baseball straight upward. 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The drag...Ch. 5 - A large crate with mass m rests on a horizontal...Ch. 5 - (a) In Example 5.18 (Section 5.3), what value of D...Ch. 5 - A stone with mass 0.80 kg is attached to one end...Ch. 5 - BIO Force on a Skaters Wrist. A 52-kg ice skater...Ch. 5 - A small remote-controlled car with mass 1.60 kg...Ch. 5 - 5.46A small car with mass 0.800 kg travels at...Ch. 5 - A small model car with mass m travels at constant...Ch. 5 - A flat (unbanked) curve on a highway has a radius...Ch. 5 - A 1125-kg car and a 2250-kg pickup truck approach...Ch. 5 - The Giant Swing at a county fair consists of a...Ch. 5 - In another version of the Giant Swing (see...Ch. 5 - A small button placed on a horizontal rotating...Ch. 5 - Rotating Space Stations. One problem for humans...Ch. 5 - The Cosmo Clock 21 Ferris wheel in Yokohama,...Ch. 5 - An airplane flies in a loop (a circular path in a...Ch. 5 - A 50.0-kg stunt pilot who has been diving her...Ch. 5 - Stay Dry! You tie a cord to a pail of water and...Ch. 5 - A bowling ball weighing 71.2 N (16.0 lb) is...Ch. 5 - BIO Effect on Blood of Walking. While a person is...Ch. 5 - An adventurous archaeologist crosses between two...Ch. 5 - Two ropes are connected to a steel cable that...Ch. 5 - In Fig. P5.62 a worker lifts a weight w by pulling...Ch. 5 - In a repair shop a truck engine that has mass 409...Ch. 5 - A horizontal wire holds a solid uniform ball of...Ch. 5 - A solid uniform 45.0-kg ball of diameter 32.0 cm...Ch. 5 - CP A box is sliding with a constant speed of 4.00...Ch. 5 - CP BIO Forces During Chin-ups. When you do a...Ch. 5 - CP CALC A 2.00-kg box is suspended from the end of...Ch. 5 - CALC A 3.00-kg box that is several hundred meters...Ch. 5 - CP A 5.00-kg box sits at rest at the bottom of a...Ch. 5 - Two boxes connected by a light horizontal rope are...Ch. 5 - A 6.00-kg box sits on a ramp that is inclined at...Ch. 5 - CP An 8.00-kg box sits on a ramp that is inclined...Ch. 5 - CP In Fig. P5.74, m1 = 20.0 kg and = 53.1. The...Ch. 5 - CP You place a book of mass 5.00 kg against a...Ch. 5 - Block A in Fig. P5.76 weighs 60.0 N. The...Ch. 5 - A block with mass m1 is placed on an inclined...Ch. 5 - BIO The Flying Leap of a Flea. High-speed motion...Ch. 5 - Block A in Fig. P5.79 weighs 1.20 N, and block B...Ch. 5 - CP Elevator Design. 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