Calculate the torque (magnitude and direction) about point O due to the force F

Question

Calculate the torque (magnitude and direction) about point O due to the force F in each of the cases sketched in the figure (Figure 1) . In each case, the force F and the rod both lie in the plane of the page, the rod has length 4.00 m, and the force has magnitude 13.0N .

http://session.masteringphysics.com/problemAsset/1260438/3/YF-10-37.jpg

A: Calculate the magnitude of the torque in case (a).

C: Calculate the magnitude of the torque in case (b)

D: Find the direction of the torque in case (b).

Find the direction of the torque in case (b).

E: Calculate the magnitude of the torque in case (c)

F: Find the direction of the torque in case (c).

G: Calculate the magnitude of the torque in case (d)

H: Find the direction of the torque in case (d).

I:Calculate the magnitude of the torque in case (e)

J:

Find the direction of the torque in case (e).

Find the direction of the torque in case (e).

Explanation / Answer

a) For figure a,

Torque=52 Nm

out the page

b) For figure b

torque =13*0.866*4=45.032 Nm

out of the page

c)For figure c

torque=13 sin(30)*4=26 Nm

out of the page

d) for figure d

torque=13*sin(60)*2 =22.516 Nm

direction-into the page

e)torque=0

f)torque =0

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