18th Edition

ISBN: 9781938168161

Author: OpenStax

Publisher: OpenStax

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Chapter 10, Problem 66P

A short circuit in a 120-V appliance cord has a0.500- Ω resistance. Calculate the temperature rise of the2.00 g of surrounding materials, assuming their specific heat capacity is 0.200 c a l / g ⋅ ° C and that it takes 0.0500 sfor a circuit breaker to interrupt the current. Is this likely to be damaging?

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Chapter 10, Problem 65P

Chapter 10, Problem 67AP

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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 10 Solutions

University Physics Volume 2

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