Physics
7th Edition
ISBN: 9780321733627
Author: Douglas C. Giancoli
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 4Q
Can the normal force on an object ever do work? Explain.
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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 \((-180^{\circ},180^{\circ}]\).
Chapter 6 Solutions
Physics
Ch. 6 - A skier starts at the top of a hill. On which run...Ch. 6 - In what ways is the word “work’' as used in...Ch. 6 - Can a centripetal force ever do work on an object?...Ch. 6 - Why is it tiring to push hard against a solid wall...Ch. 6 - Can the normal force on an object ever do work?...Ch. 6 - You have two springs that are identical except...Ch. 6 - If the speed of a particle triples, by what factor...Ch. 6 - List some everyday forces that are not...Ch. 6 - A hand exerts a constant horizontal force on a...Ch. 6 - You lift heavy book from a table to a high shelf....
Ch. 6 - A hill has a height h. A child on a sled (total...Ch. 6 - Analyze the motion of a simple swinging pendulum...Ch. 6 - In Fig. 6-31, water balloons are tossed from the...Ch. 6 - What happens to the gravitational potential energy...Ch. 6 - Experienced hikers prefer to step over a fallen...Ch. 6 - The energy transformations in pole vaulting and...Ch. 6 - Prob. 16QCh. 6 - 17. Two identical arrows, one with twice the speed...Ch. 6 - Prob. 18QCh. 6 - Prob. 19QCh. 6 - Describe the energy transformations that take...Ch. 6 - Prob. 21QCh. 6 - Prob. 22QCh. 6 - Prob. 23QCh. 6 - Prob. 1MCQCh. 6 - Prob. 2MCQCh. 6 - When the speed of your car is doubled, by what...Ch. 6 - Prob. 4MCQCh. 6 - Prob. 5MCQCh. 6 - Prob. 6MCQCh. 6 - Prob. 7MCQCh. 6 - Prob. 8MCQCh. 6 - Prob. 9MCQCh. 6 - Prob. 10MCQCh. 6 - Prob. 11MCQCh. 6 - Prob. 12MCQCh. 6 - Prob. 13MCQCh. 6 - Prob. 14MCQCh. 6 - A 75.0-kg firefighter climbs a flight of stairs...Ch. 6 - The head of a hammer with a mass of 1.2 kg is...Ch. 6 - How much work did the movers do (horizontally)...Ch. 6 - A 1200-N crate rests on the floor. How much work...Ch. 6 - What is the minimum work needed to push a 950-kg...Ch. 6 - Estimate the work you do to mow a lawn 10 m by 20...Ch. 6 - In a certain library the first shelf is 15.0 cm...Ch. 6 - A lever such as that shown in Fig. 6-35 can be...Ch. 6 - A box of mass 4.0 kg is accelerated from rest by a...Ch. 6 - A 380-kg piano slides 2.9 m down a 25° incline and...Ch. 6 - Recall from Chapter 4, Example 4-14, that you can...Ch. 6 - A grocery cart with mass of 16 kg is being pushed...Ch. 6 - The force on a particle, acting along the x axis,...Ch. 6 - A 17,000-kg jet takes off from an aircraft carrier...Ch. 6 - At room temperature, an oxygen molecule, with mass...Ch. 6 - (a) If the kinetic energy of a particle is...Ch. 6 - How much work is required to stop an electron...Ch. 6 - How much work must be done to stop a 925-kg car...Ch. 6 - Prob. 19PCh. 6 - A baseball (m = 145 g) traveling 32 m/s moves a...Ch. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - 24. (Ill) One car has twice the mass of a second...Ch. 6 - 25. (Ill) A 265-kg load is lifted 18.0 m...Ch. 6 - 26. (I) By how much does the gravitational...Ch. 6 - A spring has a spring constant k of 88.0 N/m. How...Ch. 6 - Prob. 28PCh. 6 - 29. (II) A 66.5-kg hiker starts at an elevation of...Ch. 6 - Prob. 30PCh. 6 - A novice skier starting from rest, slides down an...Ch. 6 - 32. (I) Jane, looking for Tarzan, is running at...Ch. 6 - A sled is initially given a shove up a...Ch. 6 - Prob. 34PCh. 6 - 35. (II) A spring with k=83 N/m hangs vertically...Ch. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - 42. (II) What should be the spring constant k of a...Ch. 6 - 43. (Ill) An engineer is designing a spring to be...Ch. 6 - Prob. 44PCh. 6 - 45. (III) A cyclist intends to cycle up a 7.50°...Ch. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - 52. (II) You drop a ball from a height of 2.0 m,...Ch. 6 - 53. (II) A 66-kg skier starts from rest at the top...Ch. 6 - 54. (II) A projectile is fired at an upward angle...Ch. 6 - 55. (II) The Lunar Module could make a safe...Ch. 6 - 56. (III) Early test flights for the space shuttle...Ch. 6 - How long will It take a 2750-W motor to lift a...Ch. 6 - 58. (I) (a) Show that one British horsepower (550...Ch. 6 - An 85-kg football player traveling 5.0 m/s is...Ch. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - A shot-putter accelerates a 7.3-kg shot from rest...Ch. 6 - Prob. 63PCh. 6 - 64. (II) How much work can a 2.0-hp motor do in...Ch. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Prob. 69PCh. 6 - 70. (II) What minimum horsepower must a motor have...Ch. 6 - Prob. 71PCh. 6 - Prob. 72GPCh. 6 - Prob. 73GPCh. 6 - Prob. 74GPCh. 6 - Prob. 75GPCh. 6 - Prob. 76GPCh. 6 - Prob. 77GPCh. 6 - Prob. 78GPCh. 6 - Prob. 79GPCh. 6 - Prob. 80GPCh. 6 - Prob. 81GPCh. 6 - Prob. 82GPCh. 6 - Prob. 83GPCh. 6 - Prob. 84GPCh. 6 - Prob. 85GPCh. 6 - Prob. 86GPCh. 6 - Prob. 87GPCh. 6 - Prob. 88GPCh. 6 - Prob. 89GPCh. 6 - Prob. 90GPCh. 6 - Prob. 91GPCh. 6 - Prob. 92GPCh. 6 - Prob. 93GPCh. 6 - Prob. 94GP
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