10. (a) Show that the moment of inertia of a uniform hollow cylinder of inner radius R1, outer radius R2, and mass M, is I=1/2M(R12+R22). 1 = 1/2 M (R1² + R2²) sumeo ali Juoda miniven 90s to ad istolar (b) bns,min e no faloq s

The cable AB carries a tension of 530 N. Determine the moment about O (positive if counterclockwise, negative if clockwise) of this tension as applied to point A of the slender bar. B DA 690 mm Answer: Mo = 21° i 400 mm N.m

Compute the moment (positive if counterclockwise, negative if clockwise) of the 0.54-lb force about the pivot O of the wall-switch toggle. F = 0.54 18 13° A 0.860" Answer: Mo i lb-in.

A about I thin uniform uod of length 1m & mass 1 by ruotating to its leagth cabulating the ough the ente I pepentidulge 8 moment of & gyeation of rod about an axis passing through point between the centre and its edge, perpendicular to its length. A О АФ TANG TIC B C 9

Compute the combined moment of the two 85-lb forces about (a) point O and (b) point A. The moment is positive if counterclockwise, negative if clockwise. Assume a = 5.0 in., b = 2.2 in., F = 85 lb. Answers: (a) Mo= i (b) MA= Mi A F Ib-in. lb-in.

For the given figure, the weight of the bar is 5 lb and the total length is 14 ft. The moment, in Ib-ft, of the weight about the fulcrum (point O) is L. 12 1b

Compute the combined moment of the two 80-lb forces about (a) point O and (b) point A. The moment is positive if counterclockwise, negative if clockwise. Assume a = 5.0 in., b=2.7 in., F-80 lb. y 1 F Answers: (a) Mo i (b) MA-i Ib-in. lb-in.

Compute the combined moment of the two 75-lb forces about (a) point O and (b) point A. The moment is positive if counterclockwise, negative if clockwise. Assume a = 8.2 in., b = 3.9 in., F = 75 lb. y | I F Answers: (a) Mo= (b) MA= i i b F lb-in. lb-in.

Compute the moment (positive if counterclockwise, negative if clockwise) of the 0.40-lb force about the pivot O of the wall-switch toggle. F = 0.40 lb A Answer: Mo = 13° 0.795" -0.244 lb-in.

Determine the moment of the force along point P * 3mi Go°,