College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 5, Problem 25PE
Calculate the speed a spherical rain drop would achieve falling from 5.00 km (a) in the absence of air drag (b) with air drag. Take the size across of the drop to be 4 mm, the density to be
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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Chapter 5 Solutions
College Physics
Ch. 5 - Define normal force. What is its relationship to...Ch. 5 - The glue on a piece of tape can exert forces. Can...Ch. 5 - When you learn to drive, you discover that you...Ch. 5 - When you push a piece of chalk across a...Ch. 5 - Athletes such as swimmers and bicyclists wear body...Ch. 5 - Two expressions were used for the drag force...Ch. 5 - As cars travel, oil and gasoline leaks onto the...Ch. 5 - Why can a squirrel jump from a tree branch to the...Ch. 5 - The elastic properties of the arteries are...Ch. 5 - What are you feeling when you feel your pulse?...
Ch. 5 - Examine different types of shoes, including sports...Ch. 5 - Would you expect your height to be different...Ch. 5 - Why can a squirrel from a tree branch to the...Ch. 5 - Explain why pregnant women often suffer from back...Ch. 5 - An old carpenter's trick to keep nails from...Ch. 5 - When a glass bottle full of vinegar warms up, both...Ch. 5 - A physics major is cooking breakfast when he...Ch. 5 - (a) When rebuilding her car's engine, a physics...Ch. 5 - (a) What is the maximum frictional force in the...Ch. 5 - Suppose you have a 120-kg wooden crate resting on...Ch. 5 - (a) If half of the weight of a small 1.00103 kg...Ch. 5 - A team of eight dogs pulls a sled with waxed wood...Ch. 5 - Consider the 65.0-kg ice skater being pushed by...Ch. 5 - Show that the acceleration of any object down a...Ch. 5 - Show that the acceleration of any object down an...Ch. 5 - Calculate the deceleration of a snow boarder going...Ch. 5 - (a) Calculate the acceleration of a skier heading...Ch. 5 - If an object is to rest on an incline without...Ch. 5 - Calculate the maximum deceleration of a car that...Ch. 5 - Calculate the maximum acceleration of a car that...Ch. 5 - Repeat Exercise 5.14 for a car with four-wheel...Ch. 5 - A freight train consists of two 8.00105 -kg...Ch. 5 - Consider the 52.0-kg mountain climber in Figure...Ch. 5 - A contestant in a winter sporting event pushes a...Ch. 5 - Repeat Exercise 5.18 with the contestant pulling...Ch. 5 - The terminal velocity of a person falling in air...Ch. 5 - A 60-kg and a go-kg skydiver jump from an airplane...Ch. 5 - A 560-g squirrel with a surface area of 930 cm2...Ch. 5 - To maintain a constant speed, the force provided...Ch. 5 - By what factor does the drag force on a car...Ch. 5 - Calculate the speed a spherical rain drop would...Ch. 5 - Using Stokes' law, verify that the units for...Ch. 5 - Find the terminal velocity of a spherical...Ch. 5 - Stokes' law describes sedimentation of particles...Ch. 5 - During a circus act, one performer swings upside...Ch. 5 - During a wrestling match, a 150 kg wrestler...Ch. 5 - (a) The "lead" in pencils is a graphite...Ch. 5 - TV broadcast antennas are the tallest artificial...Ch. 5 - (a) By how much does a 65.0-kg mountain climber...Ch. 5 - A 20.0-m tall hollow aluminum flagpole is...Ch. 5 - As an oil well is drilled, each new section of...Ch. 5 - Calculate the force a piano tuner applies to...Ch. 5 - A vertebra is subjected to a shearing force of 500...Ch. 5 - A disk between vertebrae in the spine is subjected...Ch. 5 - When using a pencil eraser, you exert a vertical...Ch. 5 - To consider the effect of wires hung on poles, we...Ch. 5 - A farmer making grape juice fills a glass bottle...Ch. 5 - (a) When water freezes, its volume increases by...Ch. 5 - This problem returns to the tightrope walker...Ch. 5 - The pole in Figure 5.24 is at a 90.0° bend in a...
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