Force $\mathbf F=5\hat i-10\hat j+8\hat k$ acts through the origin. Find its moment about A=(3,4,8),with the right-hand/counterclockwise sign convention.
The position vector from moment point A to the force application point O is $\mathbf r=(-3,-4,-8)$. Moment is $\mathbf r\times\mathbf F=(-112,-16,50)$. For example, the i component is $(-4)(8)-(-8)(-10)=-112$. Therefore **D**.
More Machine Design questions
GATE 2023 AG Q55– A single-disc clutch transmits10 kW at 1400 rpm. Mean axial contact pressure.07 N/mm² and…
GATE 2022 AG Q25– A double-acting hydraulic cylinder has bore 76 mm and rod diameter 25 mm. Pump flow is 40…
GATE 2022 AG Q26– An open V-belt joins effective pulley diameters .25 m and .65 m at 1 m centre distance.…
GATE 2022 AG Q54– A flange has one10 mm diameter mild-steel pin in single shear, ultimate shear strength42…
GATE 2021 AG Q26– A gear pump displaces120 cm³/rev at 1500 rpm against18 MPa. Torque efficiency90%. Find…
GATE 2021 AG Q38– A 6 mm diameter bushy-crop stem is cut by impact50 mm above soil. Young modulus1500…