An ellipsoid is pivoted on an axis through a point O, perpendicular to the plane

Question

An ellipsoid is pivoted on an axis through a point O, perpendicular to the plane of the page. The ellipsoid can freely pivot with no friction. The ellipsoid is acted upon by two forces F1 = F2 = 10 N as shown http://session.masteringphysics.com/problemAsset/1000235362/7/Ellipse.jpg

Find the magnitude of the net torque about O on this object for a = 1.2 m (long axis) and b = 0.8 m (short axis).

Will the ellipsoid rotate, and if so, in what direction? (counterclockwise or clockwise)?

Two particles of masses m1 and m2 exert equal and opposite forces on each other along the line joining the particles (http://session.masteringphysics.com/problemAsset/1000235362/7/line.jpg). What direction is the sum of the torques due to these two forces about an axis perpendicular to the page at point A? What direction is the sum of the torques due to the two forces about an axis perpendicular to the page at point B?

Explanation / Answer

Part A)

Torque = F1sin60 x a - F2sin45 x b

substitutng given values we get

Torque = 4.7354 N m

Part B)

Torque = 0

as both torques are in equal and opposite direction

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