9 The diagram shows objects of mass 3 kg and 2 kg on connected smooth planes 3 kg 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. 2 kg 9. 20 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 =

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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
3 kg
2 kg
the ends of a light inextensible string that passes over a smooth pulley. Let
20
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.
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 = .
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 3 kg 2 kg the ends of a light inextensible string that passes over a smooth pulley. Let 20 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. 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 = .
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