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As shown in the figure below, seven forces all with magnitude |F| are applied to

ID: 1635274 • Letter: A

Question

As shown in the figure below, seven forces all with magnitude |F| 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 forces are separated by distance w, h, and d as indicated in the figure. For the following questions, circle the value of the torque for the corresponding force relative to location "X" (x to the right, y up, z out of the page). (a) The torque from force (1): (b) The torque from force (2): (c) The torque from force (3): (d) The torque from force (4): (e) The torque from force (5): (f) The torque from force (6): (g) The torque from force (7): (h) At time t = 0 the angular momentum of the object, relative to relative to location "X", is zero. Determine the total angular momentum of the object, relative to "X", a short time Delta t later.

Explanation / Answer

We know that torque is given by:

T = r x F

r is the position vector of the point of application of force. The direction of the torque is perpendiclumar to the plane of r and F.

1 ; 2 and 3 will have same magnitude determined by:

torque = (wi + hj) x F i = (h F) k N-m

For a,b and c correct choice is:

Torque = (h F) z

d) Torque = wi x F j = (w f) k

Hence, Torque = (w F) z

e) Torque = 0 x F = 0

f) Torque = wi x F i = 0

g)None of these