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As shown in the figure below, seven forces all with magnitude 57 N are applied t

ID: 1792913 • Letter: A

Question

As shown in the figure below, seven forces all with magnitude 57 N are applied to an irregularly shaped object. Each force is applied at a different location on the object, indicated by the tail of the arrow; the directions of the forces differ. The distances shown in the diagram have these values: w -7m, h-16 m, and d-12 m. hi (4) -(5) (6) For each force, calculate the z component of the torque due to that force, relative to location A (x to the right, y up, z out of the page). Make sure you give the correct sign. N m N m N·m N·m N·m N·m N m Tz (1) = Ta, 14) Tz, t d stance d- Relative to location A, what is the z component of the net torque acting on this object? N·m Additional Materials Section 115

Explanation / Answer

given |F| = 5N
w= 7m
h = 16m
d = 12m

hence

Tz1 = F*w = 35 Nm
Tz2 = F*0 = 0 Nm
Tz3 = F*0 = 0 Nm
Tz4 = -F*h = -80 Nm
Tz5 = -F*h = -80 Nm
Tz6 = -F*h = -80 Nm
Tzd = F*d = 60 Nm