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

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter5: Newton's Law Of Motion
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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
Transcribed Image Text: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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