The forces F, = (4i - j- 6k)N and F, = (-7i + 2j + 3k)N act through the points with position vectors (-10i – 5j – 54k)m and (-30i – 24k)m , respectively. The forces F, = (2i-+ j+ k)N and F, = (i – 2j + 2k)N act through the point with position vector (-10j + 6k)m Show that the system of the four forces is in equilibrium. The force F of magnitude 42 N acts in the direction of the vector(5i – 4j + 20k)m . A particle P 1. %3D b) of mass 5 kg moves under the action of F from the point A(2,1. - 4) to the point B(-3,=7.10) Find the work done by F.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter6: Applications Of Newton’s Laws Of Motion
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The forces F, = (4i – j – 6k)N and F, = (-7i + 2j + 3k)N act through the points wih
position vectors (-10i – 5j – 54k)m and (-30i – 24k)m , respectively. The forces
F, = (2i-+ j+ k)N and F, = (i – 2j + 2k)N act through the point with position vector
(-10j + 6k)m
Show that the system of the four forces is in equilibrium.
The force F of magnitude 42 N acts in the direction of the vector(5i – 4j + 20k)m . A particle P
b)
of mass 5 kg moves under the action of F from the point A(2,1. – 4) to the point B(-3,-7.10)
Find the work done by F.
Transcribed Image Text:The forces F, = (4i – j – 6k)N and F, = (-7i + 2j + 3k)N act through the points wih position vectors (-10i – 5j – 54k)m and (-30i – 24k)m , respectively. The forces F, = (2i-+ j+ k)N and F, = (i – 2j + 2k)N act through the point with position vector (-10j + 6k)m Show that the system of the four forces is in equilibrium. The force F of magnitude 42 N acts in the direction of the vector(5i – 4j + 20k)m . A particle P b) of mass 5 kg moves under the action of F from the point A(2,1. – 4) to the point B(-3,-7.10) Find the work done by F.
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