19 The diagram shows objects of mass 3 kg and 2 kg on connected smooth planes inclined at angles of 0 and 20 to the horizontal. The objects are attached to the ends of a light inextensible string that passes over a smooth pulley. Let T newtons be the tension in the string, and suppose that the 3 kg object is accelerating at a m/s² up its plane. a Find, in terms of a, T, g and 0, an equation for the motion of the 3 kg object up its plane. 3 kg. b Write down a similar equation for the motion of the 2 kg object down the other plane. c Show that the system is in equilibrium when cos 0 = 1. 20 2 kg

19 The diagram shows objects of mass 3 kg and 2 kg on connected smooth planes inclined at angles of 0 and 20 to the horizontal. The objects are attached to the ends of a light inextensible string that passes over a smooth pulley. Let T newtons be the tension in the string, and suppose that the 3 kg object is accelerating at a m/s² up its plane. a Find, in terms of a, T, g and 0, an equation for the motion of the 3 kg object up its plane. 3 kg. b Write down a similar equation for the motion of the 2 kg object down the other plane. c Show that the system is in equilibrium when cos 0 = 1. 20 2 kg

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

19 The diagram shows objects of mass 3 kg and 2 kg on connected smooth planes
inclined at angles of 0 and 20 to the horizontal. The objects are attached to
the ends of a light inextensible string that passes over a smooth pulley. Let
T newtons be the tension in the string, and suppose that the 3 kg object is
accelerating at a m/s² up its plane.
3 kg
e
a
Find, in terms of a, T, g and 0, an equation for the motion of the 3 kg object up its plane.
b Write down a similar equation for the motion of the 2 kg object down the other plane.
c Show that the system is in equilibrium when cos 0 = 1.
20
2 kg

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