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Tutorial 4 Moment of a force Harem Gh. Hussein 22- Jan

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Units system, force system, parallelogram law Forces components, resultant of coplanar forces Components of forces in space, moment of a force, moment of couples Equilibrium, free body diagram, friction Centroids and Centers of gravity, centroids of area Moment of Inertia Second moment of area by integration radius of gyration 2 Prepared by Harem G. H.

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3 The handle of the hammer is subjected to the force of F=20 lb Determine the moment of this force about the point A.

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4 Prepared by Harem G. H.

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5 Determine the angle θ (0 o ≤ θ ≤180 o ) of the force F so that it produces a maximum moment and a minimum moment about point A. Also, what are the magnitudes of these maximum and minimum moments?

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6 Prepared by Harem G. H. Minimum MomentMaximum Moment

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7 Prepared by Harem G. H.

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9 In order to raise the lamp post from the position shown, the force F on the cable must create a counterclockwise moment of 1500 lb.ft about point A. Determine the magnitude of F that must be applied to the cable.

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10 Prepared by Harem G. H.

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11 Prepared by Harem G. H.

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12 Prepared by Harem G. H. In order to hold the wheelbarrow in the position shown, force F must produce a counterclockwise moment of 200 N.m about the axle at A. Determine the required magnitude of force F.

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13 Prepared by Harem G. H.

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14 Prepared by Harem G. H. Determine the required magnitude of force F if the resultant couple moment on the frame is200 lb.ft clockwise.

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15 Prepared by Harem G. H.

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16 Prepared by Harem G. H. Determine the resultant couple moment acting on the beam. Solve the problem two ways: (a) sum moments about point O; and (b) sum moments about point A.

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17 Prepared by Harem G. H.

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18 Prepared by Harem G. H. Determine the required magnitude of force F, if the resultant couple moment on the beam is to be zero.

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19 Prepared by Harem G. H.

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20 Prepared by Harem G. H.

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21 Prepared by Harem G. H. Two couples act on the frame. If d=4, determine the resultant couple moment. Compute the result by resolving each force into x and y components and (a) finding the moment of each couple and (b) summing the moments of all the force components about point A.

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22 Prepared by Harem G. H.

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23 Prepared by Harem G. H.

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