To increase the volume of a stereo, a person applies the forces NA, FA, NB, and

Question

To increase the volume of a stereo, a person applies the forces NA, FA, NB, and FB to the volume control knob. All of these forces lie in the same plane, which is parallel to the yz plane, and NA and NB have the same line of action, which passes through the x axis, FA is perpendicular to NA, and FB is perpendicular to NB. To prevent the knob from slipping, the person applies the forces so that FA =0.5NA and FB = 0.5NB. (a) If NA= 10N and the forces applied by the person are to be a couple or a system of couples, determine the values of FA, NB, and FB. (b) Using the results of Part (a), determine the resultant couple moment vector applied to the knob.

Explanation / Answer

Na = 10N

Fa = 5N

since it is couple

Fb = Fa = 5 N

Nb = 10 N

b)

couple monent vector = -2*5*0.025 i^

= -0.25 i^ Nm

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