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 situations sketched in the figure below (Figure 1). In each case, the force F  and the rod both lie in the plane of the page, the rod has length 5.00 m , and the force has magnitude 5.00 N . Let counterclockwise torques be positive.

Part A) Case (a):

Express your answer in newton meters to three significant figures.

Part B) Case (b):

Express your answer in newton meters to three significant figures.

Part C) Case (c):

Express your answer in newton meters to three significant figures.

Part D) Case (d):

Express your answer in newton meters to three significant figures.

Part E) Case (e):

Express your answer in newton meters to three significant figures.

Part F) Case (f):

Express your answer in newton meters to three significant figures.

Explanation / Answer

A) T = r*F*sin(90) = 5*5 = 25.0 N.m

B) T = r*F*sin(120) = 5*5*sin(120) = 21.7 N.m

C) T = r*F*sin(30) = 5*5*sin(30) = 12.5 N.m

D) T = -r*F*sin(60) = -3*5*sin(60) = -13.0 N.m

E) T = r*F*sin(theta) = 0*5*sin(60) = 0.00

F) T = r*F*sin(theta) = 5*5*sin(180) = 0.00

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