Three forces F,, E, and F, ,act through the points with position vectors r,, r, and r, respectively, where 13O ITADHIT D TD vo0 F - (3i – 2j – Ak) N, =(i+ k)m F (-i + j)N, r, = (j+ k}m F, = (-i + 4k)N, ,-(i +j + k)m (i) Show that this system does not reduce to a single force. When a fourth force F is added, the system of four forces is in equilibrium. (ii) Show that F acts through the point with position vector (3k) m. lo %3D
Three forces F,, E, and F, ,act through the points with position vectors r,, r, and r, respectively, where 13O ITADHIT D TD vo0 F - (3i – 2j – Ak) N, =(i+ k)m F (-i + j)N, r, = (j+ k}m F, = (-i + 4k)N, ,-(i +j + k)m (i) Show that this system does not reduce to a single force. When a fourth force F is added, the system of four forces is in equilibrium. (ii) Show that F acts through the point with position vector (3k) m. lo %3D
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Transcribed Image Text:Three forces F, E, and F, ,act through the points with position vectors r, 1, and r,
ITA
1.
respectively, where
F = (3i – 2j – Ak)N, = (i+ k)m
F, = (-i + j)N, r, = (j + k}m
F, = (-i + 4k)N, I,- (i + j + k)m
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(i) Show that this system does not reduce to a single force.
When a fourth force F is added, the system of four forces is in equilibrium.
(ii) Show that F acts through the point with position vector (3k) m.
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